Corporate governance is the procedure by which a company is directed and controlled, and it involves balancing the interests of many stakeholders in the company. Key parties involved in good corporate governance are board of directors (Board), company secretary, management, internal and external auditors, shareholders, and stakeholders.
To explain the relationships between key parties involved in good corporate governance, a diagram can be drawn, as follows:In the diagram above, shareholders are the owners of the company. They entrust the board of directors with the responsibility of running the company and ensure that they act in the best interest of the shareholders.
The board of directors is accountable to the shareholders for the company's performance and must act in their best interest. The company secretary ensures the company complies with all legal requirements and regulations.Management is responsible for the day-to-day running of the company and must report to the board of directors.
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An appreciation means an increase in the value of a currency against other foreign currency. An appreciation makes exports more expensive and imports cheaper. International turmoil and Switz…
The appreciation of the Swiss franc caused Swiss products to become expensive to other countries. So, the Swiss exports went down and imports increased.
An appreciation of a currency means an increase in its value against other foreign currencies. This makes the exports more expensive and imports cheaper. As for Switzerland, the appreciation of the Swiss franc caused Swiss products to become expensive to other countries. So, the Swiss exports went down and imports increased. As a result, the Swiss economy faced a great loss as they depend on their exports to improve their economy. Because of the decline in exports, the Swiss GDP growth rate has become negative and led to a recession. Therefore, it can be concluded that the appreciation of the Swiss franc led to a decline in exports and an increase in imports.
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Fad City sells novel clothes that are subject to a great deal of price volatility. A recent item that cost $20.30 was marked up $13.90, marked down for a sale by $6.10 and then had a markdown cancellation of $3.80. The latest selling price is: O O O O $26.40. $38.00. $31.90. $29.46.
The latest selling price of the item is $31.90. To find the latest selling price, we need to follow the given sequence of events.
The item starts at a cost of $20.30. It is then marked up by $13.90, resulting in a price of $34.20. Next, a sale markdown of $6.10 is applied, bringing the price down to $28.10. However, this markdown is canceled out by a markdown cancellation of $3.80.
To calculate the final price, we subtract the markdown cancellation of $3.80 from the price after the sale markdown, which gives us $28.10 - $3.80 = $24.30. Therefore, the latest selling price of the item is $24.30.
However, the given options do not include $24.30. Among the available options, the closest price to $24.30 is $26.40. It is important to note that none of the provided options match the calculated value exactly. Therefore, the closest option to the calculated latest selling price of $24.30 is $26.40.
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n February 22, Triangle Corporation acquired 9,100 shares of the 200,000 outstanding common stock of Jupiter Co. at $38 plus commission charges of $165. On June 1, a cash dividend of $2.15 per share was received. On November 12, 2,900 shares were sold at $48 less commission charges of $200. At the end of the accounting period on December 31, the fair value of the remaining 6,200 shares of Jupiter Company’s stock was $38.52 per share. Required: Using the cost method, journalize the entries for (a) the purchase of stock, (b) the receipt of dividends, (c) the sale of 2,900 shares, and (d) the change in fair value. Refer to the chart of accounts for the exact wording of the account titles. CNOW journals do not use lines for journal explanations. Every line on a journal page is used for debit or credit entries. CNOW journals will automatically indent a credit entry when a credit amount is entered. In your computations, round per share amounts to two decimal places. When required, round final answers to the nearest dollar.
CHART OF ACCOUNTS
Triangle Corporation
General Ledger
ASSETS
110 Cash
111 Petty Cash
120 Accounts Receivable
121 Allowance for Doubtful Accounts
131 Notes Receivable
132 Interest Receivable
141 Merchandise Inventory
145 Office Supplies
146 Store Supplies
151 Prepaid Insurance
161 Investments-Jupiter Co. Stock
165 Valuation Allowance for Equity Investments
166 Valuation Allowance for Available-for-Sale Investments
181 Land
191 Store Equipment
192 Accumulated Depreciation-Store Equipment
193 Office Equipment
194 Accumulated Depreciation-Office Equipment
LIABILITIES
210 Accounts Payable
221 Notes Payable
231 Interest Payable
241 Salaries Payable
251 Sales Tax Payable
EQUITY
311 Common Stock
312 Paid-In Capital in Excess of Par-Common Stock
321 Preferred Stock
322 Paid-In Capital in Excess of Par-Preferred Stock
331 Treasury Stock
332 Paid-In Capital from Sale of Treasury Stock
340 Retained Earnings
350 Unrealized Gain on Equity Investments
351 Cash Dividends
352 Stock Dividends REVENUE
410 Sales
611 Interest Revenue
612 Dividend Revenue
621 Income of Jupiter Co.
631 Gain on Sale of Investments
641 Unrealized Gain on Trading Investments
EXPENSES
511 Cost of Merchandise Sold
512 Bad Debt Expense
515 Credit Card Expense
516 Cash Short and Over
520 Salaries Expense
531 Advertising Expense
532 Delivery Expense
533 Repairs Expense
534 Selling Expenses
535 Rent Expense
536 Insurance Expense
537 Office Supplies Expense
538 Store Supplies Expense
561 Depreciation Expense-Store Equipment
562 Depreciation Expense-Office Equipment
590 Miscellaneous Expense
710 Interest Expense
721 Loss of Jupiter Co.
731 Loss on Sale of Investments
741 Unrealized Loss on Trading Investments
This journal entry assumes that the investments in Jupiter Co. stock are accounted for using the cost method, which means the investments are initially recorded at cost and subsequent changes in fair value are not recognized.
The dividends received are recorded as dividend revenue. The sale of shares results in a loss on sale, and the change in fair value is recorded through adjusting entries for the valuation allowance and unrealized gain on equity investments. Purchase of Stock: Date: February 22 Debit: Cash: 138,800.00 Commission Expense: 200.00 Loss on Sale of Investments: 11,300.00 Investments - Jupiter Co. Stock: 159,500.00.
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In a company dedicated to the manufacture and customization of very high quality gowns, they have had a deviation in the quality of their garments, their goal is 95% so they have made daily inspections with daily and weekly reports, so for 4 weeks and a monthly report.
The monthly report says they got a YIELD of 92%, with 1091 setbacks and 12840 gowns produced.
It was detected that the problem is in the employees when making the robe.
Each gown costs 10 USD (end customer price).
The company would like to reach the 95% goal and save production costs. Please help the company reach its goal by telling how it would increase its output from 92% to 95% or more and how it would save costs and approximately how much it would save.
The deviation in the quality of the gowns in a company that specializes in the manufacture and customization of high-quality gowns can be improved by daily inspections with daily and weekly reports, so for 4 weeks and a monthly report. The monthly report reveals that they obtained a YIELD of 92%, with 1091 setbacks and 12840 gowns produced. The company would like to reach the 95% goal and save production costs. Here's how it can be accomplished:The first step to increase output from 92% to 95% or more is to identify the root cause of the problem. It has been discovered that the issue is with the employees making the gown. The management should conduct training sessions on how to improve the quality of the garments. This can be accomplished by reviewing the work processes and procedures, assessing employee workstations, and establishing quality control guidelines.
The deviation in the quality of the gowns in a company that specializes in the manufacture and customization of high-quality gowns can be improved by daily inspections with daily and weekly reports, so for 4 weeks and a monthly report. The monthly report reveals that they obtained a YIELD of 92%, with 1091 setbacks and 12840 gowns produced. The company would like to reach the 95% goal and save production costs. Here's how it can be accomplished:The first step to increase output from 92% to 95% or more is to identify the root cause of the problem. It has been discovered that the issue is with the employees making the gown. The management should conduct training sessions on how to improve the quality of the garments. This can be accomplished by reviewing the work processes and procedures, assessing employee workstations, and establishing quality control guidelines. The personnel responsible for making the gown should be motivated to do their best and adhere to the company's strict quality standards.Another way to improve the yield is to evaluate the manufacturing process and identify any inefficiencies that may be slowing down production. As a result, the manufacturing process can be streamlined to maximize efficiency. The company can also conduct daily inspections of the manufacturing process to ensure that everything is in order.Lastly, the company can save production costs by using cost-effective materials without sacrificing the quality of the gown. The price per gown is 10 USD for the end customer. If the company saves even $1 per gown, it will save approximately $12,840 in four weeks (1 USD x 12,840 gowns). To achieve its goal of a 95% yield, the company will need to produce 13,473 gowns (12840/0.95). If each gown costs $9 to manufacture instead of $10, the company can save $6,429 ($9 x 13,473 – $10 x 12,840) over a four-week period.
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Shimmer Corporation manufactures and sells two types of decorative lamps, Knox and Ayer It expects to manufacture 16,000 Knox lamps and 7,000 Ayer lamps in 2017. The following data are available for the year 2017 Click the icon to view the information) Click the icon to view the December 31, 2017 production budo in units) Calculate (a) the direct materials usage budget in quantity and dollars (label it Schedule 3A (b) the direct materiais purchase budget in quantity and dollars (label Schedule 38) and (c) the direct manufacturing lab costs budget label it Schedule 4) for the year ending December 31, 2017 (a). Begin by calculating the direct materials usage budget in quantity and then in dollars (label it Sched 3A) for the year ending December 31, 2017 Schedule 3A: Direct Material Usage Budget in Quantity and Dollars for the Year Ending December 31, 2017 Material Metal Fabric Total Physical Units Budget Direct materials required for Knox lamps yards Direct materials required for Ayer lamps lbs Ayer Schedule 2: Production Budget (in Units) for the Year Ending December 31, 2017 Knox Budgeted units sales 16,100 Add target ending finished goods inventory 2,400 Total required units 18,500 2,500 Deduct beginning finished goods inventory 16,000 Units of finished goods to be produced 7,000 1,400 8,400 1,400 7,000 Print Done Direct materials Metal Fabric $ 3 per pound (same as in 2016) $ 4 per yard (same as in 2016) $ 23 per hour Direct manufacturing labor Content of Each Product Unit Product Knox Metal Ayer 2 pounds 2 yards Fabric 1 pounds 1 yard 0.05 hours 0.1 hours Direct manufacturing labor Direct Materials Direct manufacturing labor $ 23 per hour Content of Each Product Unit Product Knox Ayer Metal 1 pounds 2 pounds 2 yards Fabric 1 yard Direct manufacturing labor 0.05 hours 0.1 hours Direct Materials Metal Fabric Beginning inventory Target ending inventory 18,000 pounds 16,000 pounds 5,000 yards 3,000 yards
To calculate the direct materials usage budget in quantity and dollars (Schedule 3A) for the year ending December 31, 2017, we will use the provided information.
Here's the breakdown:
Schedule 3A: Direct Material Usage Budget in Quantity and Dollars for the Year Ending December 31, 2017
Material | Metal | Fabric
Physical Units Budget:
Knox lamps | 16,000 | 16,000 yards
Ayer lamps | 7,000 | 7,000 yards
Direct materials required for Knox lamps:
Metal: 16,000 units x 2 pounds/unit = 32,000 pounds
Fabric: 16,000 units x 2 yards/unit = 32,000 yards
Direct materials required for Ayer lamps:
Metal: 7,000 units x 1 pound/unit = 7,000 pounds
Fabric: 7,000 units x 1 yard/unit = 7,000 yards
To calculate the direct materials usage budget in dollars, we need to multiply the quantity by the respective cost per unit:
Direct materials cost per unit:
Metal: $3 per pound
Fabric: $4 per yard
Direct materials cost budget:
Knox lamps:
Metal: 32,000 pounds x $3/pound = $96,000
Fabric: 32,000 yards x $4/yard = $128,000
Ayer lamps:
Metal: 7,000 pounds x $3/pound = $21,000
Fabric: 7,000 yards x $4/yard = $28,000
Therefore, the direct materials usage budget in dollars (Schedule 3A) for the year ending December 31, 2017, is as follows:
Material | Metal | Fabric
Budgeted Cost:
Knox lamps | $96,000 | $128,000
Ayer lamps | $21,000 | $28,000
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what other two functions besides operations must an operations strategy include?
Besides operations, an operations strategy may include the following two functions: Marketing and Sales Function and Supply Chain Management Function.
Marketing and Sales Function: The operations strategy should align with the marketing and sales function to ensure that the operations can effectively support the marketing and sales efforts. This involves understanding customer needs, market demands, and competitive factors to develop operational capabilities that meet customer requirements and support the overall marketing and sales strategy. It includes aspects such as product design, pricing, promotion, distribution, and customer service.
Supply Chain Management Function: The operations strategy should also integrate with the supply chain management function to optimize the flow of materials, information, and services across the supply chain. This involves managing the sourcing, procurement, production, and distribution processes to ensure efficient and effective coordination with suppliers, manufacturers, distributors, and customers. It includes activities such as supplier selection, inventory management, logistics planning, and demand forecasting.
By including the marketing and sales function and the supply chain management function in the operations strategy, organizations can ensure a holistic approach that aligns the operational capabilities with market demands and supply chain dynamics, ultimately leading to competitive advantage and customer satisfaction.
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Three customer archetypes are transactors, revolvers, and dormants (Case p. 3). Which types of customers are most desirable for Chase? How can the Chase Sapphire team best design its product and brand to attract the right customers? What would you do to maximize the customer lifetime value of each of the customer segments? What changes to the product would you recommend? What changes to the marketing plan would you recommend?
For Chase, the most desirable customer archetype would be the transactors. These are customers who make regular purchases and fully repay their credit card balances each month, resulting in lower credit risk for the company.
Transactors generate revenue through transaction fees and interest charges on balances carried by other customer segments.
To attract the right customers, the Chase Sapphire team can design its product and brand with the following strategies:
1. **Premium Offerings:** Position the Chase Sapphire product as a premium credit card with exclusive benefits and rewards targeted towards affluent customers. Emphasize features such as travel perks, concierge services, and access to exclusive events to appeal to this segment.
2. **Tailored Rewards Program:** Develop a rewards program that aligns with the spending habits and preferences of the transactor segment. Offer bonus points or higher earning rates for categories such as dining, travel, and luxury experiences that resonate with affluent customers.
To maximize the customer lifetime value of each segment, Chase can employ the following strategies:
1. **Segment-Specific Benefits:** Customize benefits and rewards based on the behavior and preferences of each customer segment. For transactors, offer incentives such as higher cashback percentages, discounted fees, or additional perks for maintaining a strong repayment history.
2. **Personalized Engagement:** Implement targeted marketing campaigns and personalized communication to build a stronger relationship with each customer segment. Provide relevant and timely offers based on their spending patterns and interests to encourage continued card usage and loyalty.
Regarding changes to the product, Chase could consider the following:
1. **Enhanced Benefits:** Continuously evaluate and update the benefits offered to align with evolving customer needs and market trends. For example, introducing new travel-related benefits, improving insurance coverage, or partnering with luxury brands to offer exclusive experiences.
2. **Digital Experience:** Invest in a user-friendly and intuitive mobile app and online platform. Enable seamless account management, transaction tracking, and personalized notifications to enhance the overall customer experience.
In terms of the marketing plan, the following recommendations can be considered:
1. **Segment-Specific Messaging:** Craft targeted marketing messages that speak directly to each customer archetype. Highlight the benefits and rewards most relevant to each segment, showcasing how the Chase Sapphire product meets their unique needs and aspirations.
2. **Partnerships and Influencers:** Collaborate with strategic partners and influencers who align with the target customer segments. Leverage their reach and influence to promote the Chase Sapphire brand and reinforce its desirability among the intended audience.
By aligning product design, marketing efforts, and customer engagement strategies with the needs and preferences of each customer segment, Chase can attract and retain the right customers while maximizing their lifetime value. Continual evaluation and adaptation based on customer feedback and market dynamics will be crucial in maintaining a competitive edge and meeting evolving customer expectations.
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To reinforce the core concepts related to the subject, the instructor will provide a topic related to change management in Week 1/ Week 2. The students will have to search for academic articles related to the topic and write a research paper. The aim of this assignment is to develop an in-depth understanding of a topic related to change management, by examining the latest academic articles, and other relevant content related to the course.
Objectives
The research paper will help students gain an in-depth understanding of one key change management concepts. This is an individual assignment, and the students will be assigned a topic for writing the research paper. The students must describe the concept in the research paper in detail and then critically evaluate, with evidence, the ideas presented in th
The instructor will provide a topic related to change management in Week 1/Week 2 to reinforce the core concepts related to the subject.
The students will have to search for academic articles related to the topic and write a research paper. The objective of this assignment is to develop an in-depth understanding of a topic related to change management, by examining the latest academic articles and other relevant content related to the course.
The research paper will help students gain an in-depth understanding of one key change management concept. It is an individual assignment, and the students will be assigned a topic for writing the research paper. The students must describe the concept in detail and then critically evaluate, with evidence, the ideas presented in the main answer. I
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the federal reserve sets the reserve requirement, which banks must meet through deposits at the fed and cash held at the bank. what do these requirements achieve? check all that apply.
The Federal Reserve sets the reserve requirement, which banks must meet through deposits at the Fed and cash held at the bank.
The reserves requirements aim to control the money supply and ensure the stability of the banking system. Thus, the following are the things that these requirements achieve:It helps to maintain the stability of the banking system.It helps to control the money supply.It helps to influence interest rates.The reserve requirement is a monetary policy tool that is used by the Federal Reserve to achieve its goals. Through the reserve requirement, the Federal Reserve influences the supply of money by controlling the amount of funds that banks can lend. This is because banks are required to hold a portion of their deposits in reserve at the Fed. By changing the reserve requirement, the Federal Reserve can control the amount of money that banks can lend, thereby influencing the money supply and the interest rates.In summary, the Federal Reserve sets the reserve requirement to control the money supply, influence interest rates, and maintain the stability of the banking system.
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You have just been tasked to put together a team to develop a new class registration process at school. You are the leader of the team and can build the team however you want. Keeping in mind the characteristics of an effective team, explain the size of the team you would build, the diversity of the team members, and the specific member roles. In addition, identify how your talents will make you a better team leader.
Diversity of team members For a team to be effective, it is essential to have team members with diverse backgrounds, experiences, skills, and perspectives.
This will lead to increased creativity, innovation, and problem-solving. It is crucial to note that diversity is not just about ethnicity and gender, but also includes differences in work styles, communication, and personality.2. Size of the team The ideal size of the team will depend on the nature and complexity of the project. However, research has shown that the optimal team size is between five to seven members.
This size allows for effective communication, collaboration, and decision-making. It also enables all team members to feel like they are valued and can contribute to the project.3. Specific member roles The roles and responsibilities of each team member should be clear and well-defined.
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Problem 5 Midtown Bank always has two tellers on duty. Customers arrive to receive service from a teller at a mean rate of 40 per hour. A teller requires an average of 2 minutes to serve a customer. When both tellers are busy, an arriving customer joins a single line to wait for service. Assume that arrival rate and service times are Poisson and exponential, respectively. Determine the basic measures of performance W₂, W. L. and L-for this queueing system.
Queueing theory is a mathematical approach used to study systems or queues that form when demand outstrips capacity, resulting in customers waiting in line. Midtown Bank has two tellers on duty, and customers arrive at a rate of 40 per hour to receive service from a teller. The average time a teller requires to serve a customer is two minutes. We'll use the Poisson arrival rate and exponential service time assumptions in this queueing system.
Basic measures of performance for this queueing system are: the average waiting time for a customer in the queue (W), the average waiting time for a customer in the system (W₂), the average number of customers waiting in the queue (L), and the average number of customers in the system (L₀).
Now let's calculate each of these measures:
Average number of customers waiting in the queue (L)
L = λ²/(μ(μ - λ))
λ = 40 per hour = 40/60 per minute = 2/3 per second
μ = 1/2 minutes per customer
L = (2/3)² / (1/2 * (1/2 - 2/3))
L = (4/9) / (-1/6)
L = (4/9) * (-6/1)
L = -24/9
L = -8/3 or -2.67
The average number of customers waiting in the queue is negative, which means there are no customers waiting in the queue.
Average number of customers in the system (L₀)
L₀ = λ/(μ - λ)
L₀ = (2/3) / (1/2 - 2/3)
L₀ = (2/3) / (-1/6)
L₀ = (2/3) * (-6/1)
L₀ = -4 or 4 customers
The average number of customers in the system is 4.
Average waiting time for a customer in the queue (W)
W = λ/(μ(μ - λ))
W = (2/3) / (1/2 * (1/2 - 2/3))
W = (2/3) / (-1/6)
W = (2/3) * (-6/1)
W = -4 or 4 minutes
The average waiting time for a customer in the queue is 4 minutes.
Average waiting time for a customer in the system (W₂)
W₂ = 1/(μ - λ)
W₂ = 1/(1/2 - 2/3)
W₂ = 1/(-1/6)
W₂ = -6 or 6 minutes
The average waiting time for a customer in the system is 6 minutes.
Therefore, the basic measures of performance for this queueing system are:
The average waiting time for a customer in the queue (W) = 4 minutes The average waiting time for a customer in the system (W₂) = 6 minutes The average number of customers waiting in the queue (L) = 0The average number of customers in the system (L₀) = 4 customers.
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our stock has a B = 1.52, the expected return on the stock market is 16.48%, and the yield on T-bills is 3%. What is the expected return on your stock?
Stock has a B= 1.542, the expected return on the stock market is 16.48%, and the yield on T-bills is 3% then the expected return on your stock is 23.49%
In order to calculate the expected return on a stock, you can use the Capital Asset Pricing Model (CAPM) formula. The formula is:
Expected return on stock = Risk-free rate + Beta x (Expected market return - Risk-free rate)
Here, the risk-free rate is given as 3%.
The expected return on the stock market is given as 16.48%.
The beta of the stock is given as 1.52.
Substituting these values in the formula, we get:
Expected return on stock = 3% + 1.52 x (16.48% - 3%)
Expected return on stock = 3% + 1.52 x 13.48%
Expected return on stock = 3% + 20.489%
Ex6pected return on stock = 23.4896%
Hence, the expected return on the stock is approximately 23.49%.
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This is a subjective question, hence you have to write your answer in the Text-Field given below. 7.6693 Construction rings are tested for their diameter desired to be within a certain range. Random samples of 5 rings are chosen from the despatch section and their diameter values measured. The sample mean X and standard deviations are found. After 20 samples. EX bar = 1850 and Es = 200. The specifications are 95 = 5 mm. [2x7=14] a. Find the control limits for the X bar and s-charts. b. Assuming that the process in control, estimate the process mean and process standard deviation c. Find the process capability indices Cp and Cpk and comment on their values. d. If the target value is 90 mm, find the capability indices Cpm and Cpmk. e. What proportion of the output is nonconforming, assuming a normal distribution of the quality characteristic? 1. If the process mean is moved to 92 mm, what proportion of the output is nonconforming? What are your proposals to improve process performance? g. Can we conclude that Cpk is less than 1? Use a = 0.05. 2This is a subjective question, hence you have to write your answer in the Text-Field given below. 7.6693 Construction rings are tested for their diameter desired to be within a certain range. Random samples of 5 rings are chosen from the despatch section and their diameter values measured. The sample mean X and standard deviations are found. After 20 samples, EX bar = 1850 and Es = 200. The specifications are 95 = 5 mm. [2x7=14] a. Find the control limits for the X bar and s-charts. b. Assuming that the process in control, estimate the process mean and process standard deviation. c. Find the process capability indices Cp and Cpk and comment on their values. d. If the target value is 90 mm, find the capability indices Cpm and Cpmk. e. What proportion of the output is nonconforming, assuming a normal distribution of the quality characteristic? 1. If the process mean is moved to 92 mm, what proportion of the output is nonconforming? What are your proposals to improve process performance? g. Can we conclude that Cpk is less than 1? Use a = 0.05.
a. Control limits for X bar chart:
Upper Control Limit (UCL) = 1850 + 1.494*200 = 2150.8
Lower Control Limit (LCL) = 1850 - 1.494*200 = 1549.2
Control limits for s chart:
Upper Control Limit (UCL) = 200 * 2.114 = 422.8
Lower Control Limit (LCL) = 200 * 0 = 0
b. Estimation of process mean: 1850 mm
Estimation of process standard deviation:
200 mm
c. Cp and Cpk = Lower specification limit = 95 mm
Upper specification limit = 105 mm.Cp = (USL-LSL)/(6σ) = (105 - 95)/(6 * 200) = 0.00083
Cpk = min{ (USL - µ)/3σ, (µ - LSL)/3σ} = min{ (105 - 1850)/3(200), (1850 - 95)/3(200)} = 0.5.
As Cpk is also less than 1, it indicates that process is not centered within the specification limits. Thus, this process needs to be improved. Reduce variability in the process. Improve monitoring and measurement of the process.
a. Control limits for X bar chart:
Upper Control Limit (UCL) = 1850 + 1.494*200 = 2150.8
Lower Control Limit (LCL) = 1850 - 1.494*200 = 1549.2
Control limits for s chart:
Upper Control Limit (UCL) = 200 * 2.114 = 422.8
Lower Control Limit (LCL) = 200 * 0 = 0
b. Estimation of process mean: 1850 mm
Estimation of process standard deviation:
200 mm
c. Cp and Cpk = Lower specification limit = 95 mm
Upper specification limit = 105 mm.Cp = (USL-LSL)/(6σ) = (105 - 95)/(6 * 200) = 0.00083
Cpk = min{ (USL - µ)/3σ, (µ - LSL)/3σ} = min{ (105 - 1850)/3(200), (1850 - 95)/3(200)} = 0.5.
Comment on their values: Since Cp is very less than 1, the process is not capable to meet the specification limits. As Cpk is also less than 1, it indicates that process is not centered within the specification limits. Thus, this process needs to be improved.
d. Cpkm = Min{Cpl, Cpu} = Min{3σ(μ - LSL), 3σ(USL - μ)} / (USL - LSL)
When target value is 90 mm,
LSL = 85 mm and USL = 95 mm. Cpm = |
Tolerance band width| / 6σ =(95-85) / (6*200) = 0.00083
Cpkm = Min{3σ(1850 - 85), 3σ(95 - 1850)} / (95 - 85)
Cpkm = Min{3*200*(1850-85), 3*200*(95-1850)}/(95-85) = 0.4067 (Minimum of Cpl and Cpu is Cpu)
d. Nonconforming proportion of output, assuming a
normal distribution = P(Z < (LSL - µ)/σ) + P(Z > (USL - µ)/σ)
where, µ = 1850 mm, σ = 200 mm, LSL = 95 mm and USL = 105 mm
P(Z < (95 - 1850)/200) + P(Z > (105 - 1850)/200)P(Z < -8.75) + P(Z > 8.75) is negligible. Therefore, the proportion of non-conforming output is negligible.
e. Nonconforming proportion of output, assuming normal distribution, if the process mean is moved to 92 mm,
P(Z < (95 - 92)/200) + P(Z > (105 - 92)/200)P(Z < 0.015) + P(Z > 0.065) = 0.0207 (approximately).
Therefore, the proportion of non-conforming output is 2.07%.
Proposal to improve process performance: Since both Cp and Cpk values are low, it indicates the process is not capable and is not centered within the specification limits. To improve process performance, following measures can be taken: Identify and remove the root cause of the problem. Adopt more capable machines. Implement process control techniques. Reduce variability in the process. Improve monitoring and measurement of the process.
g. As Cpk is 0.5 which is less than 1, we can conclude that the process is not capable of meeting the specification limits.
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Hermione Ltd. produces magical wands. The budgeted production
equals 500 magical wands and the budgeted fixed production
overheads equals £282,000. The actual production level was 20%
lower than esti
The fixed production overheads represent an estimation based on the given information. Variations in actual costs and production levels may still occur, requiring further analysis and adjustments to accurately reflect the impact on the company's financials.
Hermione Ltd., a company that produces magical wands, had initially budgeted to produce 500 magical wands. The budgeted fixed production overheads for this production level were set at £282,000. However, the actual production level turned out to be 20% lower than the estimated quantity.
To determine the impact of the lower production level on the fixed production overheads, we need to calculate the revised overheads based on the actual production quantity.
Given that the actual production level is 20% lower than the budgeted quantity of 500 magical wands, the actual production would be 80% of the budgeted quantity, which is 400 magical wands (500 wands * 0.8).
To calculate the revised fixed production overheads, we can use the proportionate relationship between the budgeted production quantity and the fixed production overheads. We multiply the actual production quantity (400 magical wands) by the ratio of the budgeted overheads to the budgeted production level:
Revised fixed production overheads = (Actual production quantity / Budgeted production quantity) * Budgeted fixed production overheads
Revised fixed production overheads = (400 / 500) * £282,000
By performing this calculation, we can determine the revised fixed production overheads based on the actual production quantity. This adjustment accounts for the lower production level and provides a more accurate representation of the overhead costs associated with the actual output of 400 magical wands.
It's important to note that the revised fixed production overheads represent an estimation based on the given information. Variations in actual costs and production levels may still occur, requiring further analysis and adjustments to accurately reflect the impact on the company's financials.
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Equilibrium output can be found arithmetically at the level
where GDP equals ____________.
output
planned consumption
planned spending planned savings
Equilibrium output can be found arithmetically at the level where GDP equals planned spending.
In an economy, equilibrium output refers to the level of output where aggregate demand (planned spending) equals aggregate supply (GDP). At this point, there is no unintended accumulation or depletion of inventories, and the economy is in a stable equilibrium.
The concept of equilibrium output is based on the idea that in the long run, planned spending must equal actual output. This is because any discrepancy between planned spending and output would result in either unsold goods (excess supply) or unmet demand (excess demand), prompting adjustments in production levels.
By comparing planned spending (which includes consumption, investment, government spending, and net exports) with the actual level of output (GDP), economists can identify the equilibrium point and determine whether the economy is operating below, at, or above its potential output level.
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The following matrix shows the pricing strategy and payoff of Firm X and Firm Y in a duopoly. Firm X-Normal Price Firm X-Offer Discount Firm Y- Normal Price Payoff of Firm X - 5 Payoff of Firm X 4 Payoff of Firm Y-6 Payoff of Firm Y = 12 Firm Y-Offer Discount Payoff of Firm X - 11 Payoff of Firm X-9 Payoff of Firm Y-3 Payoff of Firm Y = 10 Identify the Nash equilibrium and best total outcome in the matrix. Explain why best total outcome is unlikely to be achieved.
Nash equilibrium: It is a concept in game theory where the two players are in a state where neither player wants to change their strategy without causing their payoff to decrease. The Nash equilibrium is one of the central solution concepts in game theory.
In game theory, the Nash equilibrium is reached when two or more players have no incentive to change their behavior, given the behavior of the other player(s). Best total outcome: It occurs when both firms set discount prices as follows: Firm X Offer Discount Firm Y Offer Discount In this situation, the payoff of both firms will be 7, which is the best outcome that can be achieved. Explanation: The Nash equilibrium is reached when both firms set discount prices. The Nash equilibrium is a situation where neither player can improve their payoff by changing their strategy. In this case, the Nash equilibrium is reached when Firm X offers a discount and Firm Y charges a normal price. The best total outcome, which occurs when both firms set discount prices, is unlikely to be achieved because neither firm has an incentive to offer a discount. If Firm X offers a discount and Firm Y charges a normal price, Firm X will get a higher payoff, but Firm Y will get a lower payoff. If Firm Y offers a discount and Firm X charges a normal price, Firm Y will get a higher payoff, but Firm X will get a lower payoff. Therefore, the best total outcome is unlikely to be achieved because both firms have an incentive to charge a normal price, which results in a lower payoff for both firms compared to when both firms set discount prices.
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Share premier account (1 marks) (d) Amanda Corporation has issued 500,000 shares of K2 par value ordinary shares. It authorized 600,000 shares. The paid-in capital in excess of par on the common stock is K370, 000. The corporation has reacquired 20,000 shares at a cost of K50, 000 and is currently holding those shares. Treasury stock was reissued in prior years for K82, 000 more than its cost. The corporation also has 5,000 shares issued and outstanding of 8%, K90 par value preferred stock. It authorized 10,000 shares. The paid-in capital in excess of par on the preferred stock is K35, 000. Retained earnings is K710, 000. Required Prepare the stockholders' equity section of the balance sheet. (8marks) (Total 25marks) Share premier account (1 marks) (d) Amanda Corporation has issued 500,000 shares of K2 par value ordinary shares. It authorized 600,000 shares. The paid-in capital in excess of par on the common stock is K370, 000. The corporation has reacquired 20,000 shares at a cost of K50, 000 and is currently holding those shares. Treasury stock was reissued in prior years for K82, 000 more than its cost. The corporation also has 5,000 shares issued and outstanding of 8%, K90 par value preferred stock. It authorized 10,000 shares. The paid-in capital in excess of par on the preferred stock is K35, 000. Retained earnings is K710, 000. Required Prepare the stockholders' equity section of the balance sheet. (8marks) (Total 25marks)
The stockholders' equity section of Amanda Corporation's balance sheet consists of the following components: common stock, additional paid-in capital on common stock, treasury stock, preferred stock, additional paid-in capital on preferred stock, and retained earnings.
The common stock has a par value of K2 per share, with 500,000 shares issued and outstanding out of the authorized 600,000 shares. The additional paid-in capital on common stock is K370,000. The corporation has reacquired 20,000 shares of treasury stock at a cost of K50,000, which are currently held. Treasury stock was reissued in prior years for K82,000 more than its cost. The preferred stock has a par value of K90 per share, with 5,000 shares issued and outstanding out of the authorized 10,000 shares. The additional paid-in capital on preferred stock is K35,000. The retained earnings amount to K710,000. The stockholders' equity section of the balance sheet summarizes the various sources of financing provided by the shareholders of the company. In this case, Amanda Corporation's stockholders' equity section includes the following components:
1. Common Stock: The corporation has issued 500,000 shares of K2 par value ordinary shares out of the authorized 600,000 shares.
2. Additional Paid-in Capital on Common Stock: The additional amount that shareholders have paid above the par value on the common stock is K370,000.
3. Treasury Stock: The corporation has reacquired 20,000 shares of its own stock, which are currently held. The cost of reacquiring these shares is K50,000.
4. Preferred Stock: There are 5,000 shares of 8% K90 par value preferred stock issued and outstanding out of the authorized 10,000 shares.
5. Additional Paid-in Capital on Preferred Stock: The additional amount that shareholders have paid above the par value on the preferred stock is K35,000.
6. Retained Earnings: The accumulated profits of the corporation over time amount to K710,000.
These components together make up the stockholders' equity section of Amanda Corporation's balance sheet, representing the shareholders' investment in the company and its accumulated earnings.
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The Luna Company made the following two errors in counting ending inventory: 1. Understated 12/31/22 inventory by $150 Overstated 12/31/23 inventory by $450 2. Indicate the error in the following items. Show supporting computations. 12/31/23 Retained Earnings $ over/under 2024 Net Income $ over/under 2022 2023 2024 U/S 150 O/S 450 a. b. Beg. Inv. Purchases End. Inv CGS Gross Profit Net Income Ret. Earnings
There is no change in Retained Earnings in 2022 and 2024 due to the errors in counting ending inventory. Retained Earnings in 2023 is overstated by $450.
The Luna Company committed two errors in counting the ending inventory. The first mistake was that the inventory was understated by $150 as of 12/31/22. The second error was that the inventory was overstated by $450 as of 12/31/23.Here are the answers to the following questions:1. The error in the following items as of 12/31/23Retained earnings $450 overNet income $450 over2. Beg. Inv. $0 (since the question only deals with ending inventory) Purchases $0 (since we're not given any details about purchases)Ending inventory = Beg. Inv. + Purchases - Cost of Goods Sold (CGS)CGS = Sales - Gross ProfitGross Profit = Net Sales - CGSNet Income = Gross Profit - ExpensesRetained Earnings = Beginning RE + Net Income - Dividends(a) End. Inv. = Beg. Inv. + Purchases - CGS$150 Understated = Beg. Inv. + $0 - ($0 + CGS)CGS = $150Ending inventory = Beg. Inv. + Purchases - $150$450 Overstated = Beg. Inv. + Purchases - Ending Inv.$450 = $0 + $0 - Ending Inv.Ending Inv. = $-450 (Negative value, which indicates an overstatement of inventory)(b) CGS = Sales - Gross Profit$0 = Sales - Gross ProfitGross Profit = $0Net Income = Gross Profit - ExpensesNet Income = $0 - $0Net Income = $0Since there is no net income, there will be no effect on Retained Earnings in any of the years. Retained Earnings would be the same in 2022, 2023, and 2024. Thus, there is no change in Retained Earnings in 2022 and 2024 due to the errors in counting ending inventory. But, there is an overstatement of $450 in 2023. As a result, Retained Earnings in 2023 is overstated by $450.
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what could lucia do to make the next meeting more effective and productive?
Answer: Lucia could do several things to make the next meeting more effective and productive.
Some of these are listed below: Plan the meeting carefully: Lucia can make the meeting more effective by planning it well in advance. This will involve setting a clear agenda for the meeting and communicating it to all participants. She should also identify the specific goals of the meeting, and ensure that everyone knows what is expected of them.Encourage participation: During the meeting, Lucia should encourage participation from everyone involved. She can do this by asking open-ended questions, and making sure that everyone has a chance to share their thoughts and opinions. This will not only increase engagement, but also ensure that all viewpoints are considered before any decisions are made.Manage the time: It is important to manage the time effectively during the meeting. Lucia can do this by setting a time limit for each item on the agenda, and making sure that everyone sticks to it. She should also make sure that there is enough time for discussion, and that decisions are made by the end of the meeting.Follow-up: After the meeting, Lucia should follow up with everyone involved to make sure that the decisions made are being implemented effectively. She should also evaluate the success of the meeting, and use this to improve future meetings.In conclusion, by following these steps, Lucia can make the next meeting more effective and productive. By planning carefully, encouraging participation, managing the time effectively, and following up, she can ensure that the meeting is a success and achieves its goals.
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6. the true cost of monopoly power to society is attributable to:___
The true cost of monopoly power to society is attributable to several factors:
1. Deadweight Loss: Monopoly power leads to reduced competition, allowing the monopolistic firm to restrict output and raise prices above the competitive level. As a result, there is a loss of consumer surplus and potential gains from trade, known as deadweight loss. This means that resources are not allocated efficiently, leading to a net loss for society.
2. Higher Prices: Monopolies have the ability to set higher prices for their goods or services compared to competitive markets. This reduces consumer welfare by forcing consumers to pay more for the same product. Higher prices can also affect other businesses that rely on inputs from the monopolistic firm, leading to increased production costs throughout the economy.
3. Restricted Output: Monopolies often limit the quantity of goods or services they produce to maximize their profits. This restriction on output can result in underproduction and limited availability of products in the market. As a result, consumers have fewer choices and may be unable to satisfy their demands fully.
4. Lack of Innovation: In a competitive market, firms are incentivized to innovate and improve their products or services to gain a competitive edge. However, monopolies may have less motivation to innovate because they face limited competition. This lack of innovation can stifle technological progress, reduce product variety, and hinder economic growth.
5. Barrier to Entry: Monopolies can create barriers to entry, making it difficult for new firms to enter the market and compete. This reduces market dynamism and limits opportunities for new businesses to thrive. Barriers to entry can include high start-up costs, exclusive access to key resources, legal or regulatory hurdles, or established brand loyalty.
Overall, the true cost of monopoly power to society stems from the inefficiencies, higher prices, reduced output, limited innovation, and barriers to entry that monopolistic firms create. These factors restrict consumer choice, hinder economic growth, and lead to a suboptimal allocation of resources, ultimately negatively impacting society as a whole.
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Customer Segments for nike For whom are we creating value? Who are our most important customers? Is our customer base a Mass Market, Niche Market, Segmented, Diversified, Multi-sided Platform
Nike customer segments includes athletes, sports fans, and casual wearers. Nike creates value for its customers by offering high-quality athletic shoes, apparel, and accessories that enhance their performance, comfort, and style. The most important customers for Nike are athletes and sports enthusiasts who are willing to pay a premium for superior quality and design.
Nike’s customer base is a combination of mass market and segmented market. While Nike’s products are widely available and appeal to a broad audience, the company also targets specific segments based on factors such as age, gender, and sport. For example, Nike offers specialized products for basketball, running, and soccer, and it markets products specifically to women, children, and other demographics.
Nike is a multi-sided platform that connects customers with athletes, teams, and events. By sponsoring top athletes and teams and providing customized products for specific events, Nike creates a unique experience for its customers that goes beyond the product itself. Additionally, Nike uses social media and digital platforms to engage with customers and create a community around its brand.
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The purpose of this assignment is to understand the various terminology when working on taxes. Think about how Jamie Lee Jackson’s scenario in the Continuing Case located Connect, and how it applies to your daily life. Write a 150-200-word summary discussing the following items. Note: You can go over the word count if so desired.
Explain the difference between tax deductions, tax credits, exemptions, and filing status.
What tax-efficient strategies could be used to lower your tax liability?
Jamie Lee Jackson’s scenario in the Continuing Case located in Connect and how it applies to your daily lifeThe Internal Revenue Service (IRS) offers tax incentives to motivate taxpayers to save for retirement, invest in education, and purchase energy-efficient products.
A tax credit, a tax deduction, a tax exemption, and a filing status are the four primary elements of the U.S. federal income tax system. These four elements aid taxpayers in lowering their tax liability and retaining more of their hard-earned cash. A tax credit is a dollar-for-dollar reduction in taxes. A $1,000 tax credit, for example, reduces your tax obligation by $1,000.
A tax deduction is an amount that reduces the overall amount of income on which taxes are calculated. A tax exemption is an amount of money that is exempt from federal taxes. A filing status determines how a taxpayer's income is taxed. Single, married filing jointly, married filing separately, and head of household are the four filing options. One may choose the filing status that allows them to take advantage of the most tax breaks.The following are some tax-efficient strategies that may help to reduce your tax liability:-
Investing in a tax-deferred account-Saving for retirement-Contributing to a Health Savings Account (HSA)-Making charitable donations-Claiming tax credits for education or energy-efficient home upgrades-Establishing a home-based company and deducting expenses.Taxes are an unavoidable part of life, and the IRS is always seeking for methods to make sure everyone pays their fair share. However, utilizing deductions, credits, and other tax-efficient strategies may help you save a significant amount of money on taxes and retain more of your hard-earned cash.
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How the following event will change the automobile tires market The expectation that the price of auto tires will be lower in the future than currently a. Increase in demand b. Increase in market price c. decrease in market price d. decrease in demand e increase in supply f. decrease in supply
The expectation that the price of auto tires will be lower in the future than currently will lead to a decrease in market price, which will subsequently lead to an increase in demand for automobile tires. Therefore, the correct option is d. Decrease in demand.
When there is an expectation that the price of auto tires will be lower in the future than currently, it means the price of automobile tires will decrease soon. This expectation will have an effect on the current demand and supply of auto tires. Since consumers are rational and would rather wait to buy at a cheaper price, the demand for auto tires currently will reduce since consumers will wait for the price to drop before purchasing. This will result in a decrease in demand, which is option d.
The decrease in demand will then lead to a decrease in market price since there will be more supply than demand. This decrease in market price will, in turn, increase the demand for automobile tires, which will subsequently lead to an increase in supply.
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explain how functional attributes and psychological attributes determine the level of customer satisfaction in the post-purchase? In your opinion, do all customers give the same importance to each attribute? Please explain.
Functional attributes and psychological attributes both determine the level of customer satisfaction in the post-purchase. Functional attributes are specific attributes or features of a product or service that meet the customer's need. These attributes include the quality, price, design, performance, and functionality of the product.
Psychological attributes are related to the customer's perception and feelings toward the product or service. These attributes are subjective and may differ from customer to customer. Examples of psychological attributes include prestige, social status, and emotional appeal.Both functional and psychological attributes determine the level of customer satisfaction. For instance, if a product has excellent functionality and meets the customer's need, the customer will be satisfied. If the customer also perceives the product as prestigious, they will be more satisfied. On the other hand, if a product fails to meet the customer's needs and does not have psychological attributes, the customer will be unsatisfied. Customers value functional attributes and psychological attributes differently, depending on their needs and preferences. In my opinion, all customers do not give the same importance to each attribute. Customers may have different needs and preferences, and therefore may value different attributes differently. For example, some customers may value functionality more, while others may value emotional appeal. In conclusion, functional and psychological attributes are both essential in determining customer satisfaction. However, different customers may value each attribute differently, depending on their needs and preferences.
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Easy Over Eggs Limited (EOEL) has been paying a regular cash dividend of $1.50 per share each year for over a decade. They are paying out all their earnings as dividends and they are not expected to grow. There are 6,000,000 shares outstanding selling for $28 per share. EOEL have sufficient cash on hand to pay the next annual dividend. Suppose that, staring in year 1, EOEL decide to cut its cash dividend to zero and announce that they will repurchase shares instead. a) What is the immediate stock price reaction? Ignore taxes, and assume that the repurchase program conveys no information about operating profitability or business risk. b) How many shares will EOEL purchase?
a) The immediate stock price reaction is uncertain.
The immediate stock price reaction to the announcement of cutting the cash dividend to zero and initiating a share repurchase program can vary. While some investors may see this as a positive signal, expecting increased value through reduced share supply and potentially higher future dividends, others may view it negatively as a reduction in current income. Therefore, the immediate stock price reaction is uncertain and can be influenced by market sentiment and investor perception.
b) EOEL will purchase 321,428.57 shares.
To calculate the number of shares EOEL will purchase, we need to determine the total amount of cash available for repurchases. Since EOEL was previously paying a dividend of $1.50 per share, and they have 6,000,000 shares outstanding, the total dividend payout was:
Dividend Payout = Dividend per Share * Number of Shares = $1.50 * 6,000,000 = $9,000,000
This amount represents the cash available for repurchases. Given that the current stock price is $28 per share, EOEL can calculate the number of shares to be repurchased as follows:
Number of Shares Repurchased = Cash Available for Repurchases / Stock Price = $9,000,000 / $28 ≈ 321,428.57 shares
Therefore, EOEL will purchase approximately 321,428.57 shares. However, since fractional shares are not possible, the actual number of shares repurchased will be rounded down to the nearest whole number.
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how high would its pollution control costs per year have to be before a california power plant would ""pay to pollute"" a ton of carbon dioxide?
In the economics of pollution control, when the cost of pollution control is more than the benefit of reducing pollution, a point of indifference is reached. The power plant will pay for the pollution of a ton of CO2 if the pollution control costs per year exceed the point of indifference.
The power plant would pay to pollute a ton of carbon dioxide if its pollution control costs per year have to be above the point of indifference.
The point of indifference is the point at which the cost of reducing pollution equals the benefit of reducing pollution. The marginal abatement cost curve and the marginal damage curve may be used to determine this point of indifference. The point of indifference represents the equilibrium point at which the marginal cost of reducing pollution equals the marginal benefit of reducing pollution. The cost of pollution control is greater than the benefit of reducing pollution if pollution control expenses are higher than the point of indifference. In this scenario, it is more cost-effective for the power plant to pay for pollution instead of reducing it.
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B.Job PMA212 was recently completed. The following data have been recorded on its job cost sheet:
Direct materials .................................... $50,000
Direct labor-hours....................................400 hours
Direct labor wage rate............................. $10 per hour
Machine hour. .................... 500 hours
Number of unit produced.........................4000 units
The company applies manufacturing overhead on the basis of machine-hours. The predetermined overhead rate is $8 per machinehour.
The cost of direct materials on the job cost sheet for the job PMA212 is $50,000. Direct labor-hours have been noted to be 400 hours, with a direct labor wage rate of $10 per hour.
Moreover, the number of units produced is 4000 units.The company employs the manufacturing overhead on the basis of machine-hours. The predetermined overhead rate is $8 per machine-hour.
The predetermined overhead rate is calculated by dividing the estimated total manufacturing overhead by the estimated total machine-hours. It is expressed as an hourly rate and then used to apply overhead cost to the products.
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Which of the following is the most correct characterization of a "Bottleneck?" A bottleneck is the step that causes all other steps in the process not to live up to their full potential. The bottlenec
The most correct characterization of a bottleneck is that it is a point in a process where the flow of work is restricted or slowed down, leading to a delay in the completion of tasks.
It is often caused by a resource constraint or an inefficient process design that prevents the smooth flow of work from one step to another. The bottleneck can have a significant impact on the productivity and profitability of an organization, as it limits the throughput and efficiency of the system. Therefore, it is important to identify and eliminate bottlenecks in order to improve the overall performance of the process. This can be done through process analysis and optimization, resource allocation, and prioritization of tasks. Effective management of bottlenecks can lead to increased productivity, faster delivery times, and improved customer satisfaction.
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Inspection, scrap, and repair are examples of:
Select one:
a. prevention costs
b. external costs
c. internal costs
d. costs of dissatisfaction
Inspection, scrap, and repair are examples of internal costs. Hence the correct option is c.
Quality costs are divided into four categories: internal failure, external failure, prevention, and appraisal. The internal costs are inspection, scrap, and repair. They are all part of the internal costs. These costs include the costs of lost time and materials, as well as the costs of repair and replacement of defective products or parts. They are associated with identifying and resolving defects before the product is shipped.
The dissatisfaction cost is the cost of a product or service that fails to meet customer expectations. This is the cost of the customer's dissatisfaction with a product or service that falls short of their expectations. The dissatisfaction cost includes the cost of customer complaints and returns, as well as the loss of future sales due to negative word of mouth. It is an external failure cost.
Prevention costs are costs associated with preventing defects and problems from occurring in the first place. These costs are often associated with process improvements, training, and education. Examples of prevention costs include research and development, quality planning, quality assurance, and process control.
Appraisal costs are the costs of verifying that the product or service meets customer requirements. These costs are associated with the measurement and testing of products or services to ensure they meet specifications. Examples of appraisal costs include inspection, testing, and calibration.
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The capitalized cost, c, of an asset over its lifetime is the total of the initial cost and the present value of all maintenance that will occur in the future. It is computed by the formula c = c0 + integral 0 L m(t) e^-rt dt, where c0 is the initial cost of the asset, L is the lifetime (in years), r is the interest rate (compounded continuously), and m(t) is the annual cost of maintenance. Find the capitalized cost under the following set of assumptions. c0 = $300,000, r = 5%, m(t) = $30,000, L = 25 c = $
The capitalized cost (c) of the asset, based on the given assumptions, is $1,492,296.59.
Using the formula for the capitalized cost, we can substitute the given values into the equation:
c = c0 + ∫₀ ˡ m(t) e^(-rt) dt
Given:
c0 = $300,000 (initial cost)
r = 5% (interest rate)
m(t) = $30,000 (annual cost of maintenance)
L = 25 (lifetime in years)
Substituting these values into the equation, we have:
c = $300,000 + ∫₀ ²⁵ $30,000 e^(-0.05t) dt
To evaluate the integral, we integrate with respect to t and apply the limits of integration:
c = $300,000 + [$30,000 / -0.05 e^(-0.05t)] from 0 to 25
c = $300,000 + [$30,000 / -0.05 (e^(-0.05 * 25) - e^(-0.05 * 0))]
Simplifying the expression, we get:
c = $300,000 + [$30,000 / -0.05 (e^(-1.25) - 1)]
Calculating the exponential term, we find:
c = $300,000 + [$30,000 / -0.05 (0.2865047967 - 1)]
c = $300,000 + [$30,000 / -0.05 (-0.7134952033)]
c ≈ $1,492,296.59
Therefore, under the given assumptions, the capitalized cost of the asset is approximately $1,492,296.59.
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