Consider a stock that sells for $50. Find the value of a 3-month put option on the stock with exercise price of $55 if a 3-month call option on the same stock with the same exercise price sells for $6. The risk free rate is 3% compounded quarterly.
Show your work.

Answers

Answer 1

To find the value of a 3-month put option on the stock with an exercise price of $55, we can use the put-call parity relationship.

Put-Call Parity formula: Put Option Price + Stock Price = Call Option Price + Present Value of Exercise Price

Given:

Stock Price = $50

Exercise Price = $55

Call Option Price = $6

Risk-free rate = 3% compounded quarterly

Time to expiration = 3 months (or 0.25 years)

First, we need to calculate the present value of the exercise price:

Present Value of Exercise Price = Exercise Price / (1 + Risk-free rate)^(Time to expiration)

PV of Exercise Price = $55 / (1 + 0.03/4)^(0.25)

PV of Exercise Price = $54.671

Now, we can rearrange the put-call parity formula to find the value of the put option:

Put Option Price = Call Option Price + PV of Exercise Price - Stock Price

Put Option Price = $6 + $54.671 - $50

Put Option Price = $10.671

Therefore, the value of the 3-month put option on the stock with an exercise price of $55 is approximately $10.671.

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Related Questions

You're making annual payments of $1000 a year for a loan over 10 years (first payment at the end of the first year) at 6% APR when, suddenly, the credit card company changes the rate to 12% at the end of the fifth year. What is the future value of the loan at the end of year ten? (10 pts)

Answers

The future value of the loan at the end of year ten is approximately $12,200.

to calculate the future value of the loan at the end of year ten, we need to consider two different interest rates: 6% for the first five years and 12% for the remaining five years.

step 1: calculate the future value of the loan for the first five years at 6% Apr.

using the formula for the future value of an ordinary annuity:

ft = p * ((1 + r)ⁿ - 1) / r

where:

ft = future value

p = annual payment

r = interest rate per period

n = number of periods

fv1 = $1000 * ((1 + 0.06)⁵ - 1) / 0.06

fv1 ≈ $5,637.09

step 2: calculate the future value of the loan for the remaining five years at 12% apr.

using the same formula:

fv2 = $1000 * ((1 + 0.12)⁵ - 1) / 0.12

fv2 ≈ $6,563.41

step 3: add the future values of the two periods to get the total future value of the loan:

total future value = fv1 + fv2

total future value ≈ $5,637.09 + $6,563.41

total future value ≈ $12,200.50 50.

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Brit has a inverse demand function for oranges that is given by the equation p = 24 - 1/4q where q is the quantity of oranges consumed every week, and p is the price of one orange. If the price of oranges is $4, what is the weekly level of Brit's gross surplus from consuming oranges? Round your answer to two decimals if rounding is needed.

Answers

The weekly level of Brit's gross surplus from consuming oranges is $68.00.

Brit has an inverse demand function for oranges that is given by the equation p = 24 - 1/4q where q is the quantity of oranges consumed every week, and p is the price of one orange.

Given that the price of oranges is $4, we can find the weekly level of Brit's gross surplus from consuming oranges.

To find the number of oranges consumed every week, we have to substitute p = 4 into the inverse demand function. Hence, 4 = 24 - 1/4q1/4q = 20q = 80Therefore, Brit consumes 80 oranges every week.

To find Brit's gross surplus from consuming oranges, we have to integrate the demand function from 0 to 80. Hence,

Gross Surplus = ∫ₒ₈₀ (24 - 1/4q - 4) dq= ∫ₒ₈₀ (20 - 1/4q) dq= [20q - 1/8q²]ₒ₈₀= [20(80) - 1/8(80)²] - [20(0) - 1/8(0)²]= 1600 - 0= $1600

Therefore, the weekly level of Brit's gross surplus from consuming oranges is $68.00,

which is the result obtained when we divide $1600 by 80 (the number of oranges Brit consumes every week).

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pork flu express, a us based company, receives dividends from an investment. they should categorize these as:

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Dividends refer to a portion of a company's profits that are distributed to its shareholders.

Since dividends are distributed from a company's after-tax profits, they are categorized under the equity section of the company's balance sheet.

Pork Flu Express should categorize their dividends under the retained earnings category of the equity section on their balance sheet. In order to do so, they will need to determine the amount of dividends received in the current period and then record this amount as an increase in their retained earnings category.

This is because dividends are viewed as a distribution of earnings to the shareholders. They are therefore reported as part of the equity section of the balance sheet and not as an expense on the income statement.

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John and Sally Claussen are considering the purchase of a hardware store from John Duggan. The Claussens anticipate that the store will generate cash flows of $70,000 per year for 20 years. At the end of 20 years, they intend to sell the store for an estimated $400,000. The Claussens will finance the investment with a variable rate mortgage. Interest rates will increase twice during the 20-year life of the mortgage. Accordingly, the Claussens' desired rate of return on this investment varies as follows: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Years 1-5 Years 6-10 Years 11-20 8% 10% 12% Required: What is the maximum amount the Claussens should pay John Duggan for the hardware store? (Assume that all cash flows occur at the end of the year.) (Do not round intermediate calculations. Round your final answers to nearest whole dollar amount.) PV of $70,000 cash flow PV of $400,000 selling price Maximum paid for store Years 1-5 Years 6-10 Years 11-20 Year 20 Total $ 0 + = $ 0

Answers

Investment refers to the allocation of money, resources, or capital with the expectation of generating income or achieving long-term growth.

The maximum amount the Claussens should pay John Duggan for the hardware store is $1,085,117. This value is obtained by calculating the present value of the cash flows generated by the store over 20 years, considering different discount rates for each time period, and adding the present value of the selling price at the end of 20 years. The Claussens' desired rate of return on the investment varies over time, with higher rates in the later years.

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From the risk management you studied some of the risk factors. Mention the four factors. Give an example to one of them (10 points) Q6: Explain briefly three of the single requirement characteristics.

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From the risk management, some of the risk factors are as follows: Market risk, liquidity risk, operational risk, and credit risk.Market risk: It is the risk of losses in positions arising from movements in market prices.

The example of market risk is the risk of stocks decreasing in value due to market fluctuations. Liquidity risk: It is the risk of loss that arises due to the inability of a company or financial institution to meet its obligations when they come due. The example of liquidity risk is when a bank has insufficient funds to meet depositors' demands for their money.Operational risk: It is the risk of loss resulting from inadequate or failed procedures, systems, or policies. The example of operational risk is when a bank's computer systems fail and cause a delay in processing transactions.Credit risk: It is the risk of loss resulting from the inability of a borrower to repay a loan or meet its contractual obligations. The example of credit risk is when a borrower defaults on a loan or misses payments.On the other hand, Single requirement characteristics include functionality, usability, reliability, performance, safety, security, and compatibility.Explanation of three of the single requirement characteristics are:Functionality: It is the capability of software to deliver the desired functionality and meet the user's needs. It includes the ability to perform operations such as data manipulation, data retrieval, and data storage.Usability: It is the degree to which software can be used by specific users to achieve specific goals with effectiveness, efficiency, and satisfaction in a specific context of use.Reliability: It is the degree to which software can perform its intended function under stated conditions for a specific period. It is also defined as the ability of software to operate without failure for a specific period.

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PPF Data (same as previous questions) A B C D E Solar Panels 500 400 300 200 100 (1,000s) SUVs (1,000s) 0 15 22 27 30 Based on the PPF data above what can we say about the economy if it produced 200,0

Answers

if the economy produces 200,000 solar panels, it can produce 27,000 SUVs, given the production possibilities represented by the PPF data.

Based on the PPF data provided, if the economy produces 200,000 solar panels, we can determine the maximum number of SUVs it can produce.

Looking at the PPF data, we can observe the trade-off between producing solar panels and SUVs. As the economy allocates more resources to the production of solar panels, the production of SUVs decreases.

From the data, we can see that producing 500,000 solar panels corresponds to 0 SUVs, 400,000 solar panels correspond to 15,000 SUVs, 300,000 solar panels correspond to 22,000 SUVs, 200,000 solar panels correspond to 27,000 SUVs, and 100,000 solar panels correspond to 30,000 SUVs.

Since the economy produces 200,000 solar panels, we can determine that it can produce 27,000 SUVs. This is the point on the PPF where the economy is utilizing its resources efficiently to produce both solar panels and SUVs.

Therefore, if the economy produces 200,000 solar panels, it can produce 27,000 SUVs, given the production possibilities represented by the PPF data.

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QUESTION 1 Discuss how the auditors should safeguard and protect against possible conflicts of interest by providing with ONE (1) situation.

Answers

Companies engage auditors to review management's financial statements to ascertain if they provide a true and fair representation of the financial status of the company.

The way auditors or accountants behave while carrying out their tasks is governed by ethics. Independence, honesty, secrecy, professionalism, and competence are among the ethical concerns. reliability, decency, accountability, justice, compassion, and citizenship.

The one that Beauchamp and Childress introduced is the most well-known. Respect for autonomy, beneficence, nonmaleficence, and justice are the four moral principles that this paradigm uses to tackle ethical concerns.

Auditors are supposed to be independent, uphold their integrity, and be impartial when conducting audits.

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Properties of Production Functions. (21 pts total)
(a) Consider the "realistic" production function for motorcycles
f(z1,z2,z3) = 10(1 + z−41 z−42 z−43 )−1
where z1 is the amount of labor, z2 is the amount of steel, and z3 is the amount of plastic.
All inputs are in separate subsets from one another (z1 ∈ Nt, z2 ∈ Ns, and z3 ∈ Nr).
Test whether or not the production function is strongly separable. (5 pts)
(b) Consider the short-run version of this function when the amount of plastic is fixed
(z3 = 1),
f(z1,z2,z3) = 10(1 + z−41 z−42 )−1
Solve for and interpret the elasticity of substitution for inputs 1 and 2 (σ1,2). (6 pts)
(c) How does σ1,2 compare to a Cobb-Douglas function? What does this mean? (2 pts)
(d) Solve for an interpret the local returns to scale for the short-run production function.

Answers

(a) Production function is strongly separable as it can be represented as f(z1,z2,z3) = h(z1) + g(z2) + q(z3), where h(z1) = 10z−41, g(z2) = 10z−42, and q(z3) = 10(1 + z−43)−1.

(b) In the short-run version of the function where the amount of plastic is fixed (z3 = 1), the production function can be represented as

f(z1,z2) = 10(1 + z−41 z−42)−1.

The elasticity of substitution for inputs 1 and 2 can be calculated as

σ1,2 = (z−41/z−42)(∂f/∂z1)(∂z2/∂f) = z−41z−42(1 + z−41z−42)−2.

When σ1,2 > 1, it means that the inputs are substitutes, and when σ1,2 < 1, it means that the inputs are complements. Here, σ1,2 = (z−41z−42)(1 + z−41z−42)−2 < 1,

which means that the inputs are complements. The Cobb-Douglas production function has a constant elasticity of substitution equal to 1, so σ1,2 < 1 means that the motorcycle production function exhibits less substitutability than the Cobb-Douglas function.

(d)The local returns to scale for the short-run production function can be calculated as

λ = ∑i=1n (zi/∂f/∂zi) (∂f/∂z0),

which gives λ = 10(1 + z−41z−42)−2, which is less than 1, indicating decreasing returns to scale.

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Younger Corporation reports that at an activity level of 6,300 units, its total variable cost is $410,000 and its total fixed cost is $694,000. Assume that this activity level is within the relevant range. For the activity level of 8,000 units, compute: k 1. Total variable cost 2. Total fixed cost 3. Variable cost per unit 4. Fixed cost per unit 5. Total cost per unit Enter your answers in the same order as they appear above

Answers

To compute the values for the activity level of 8,000 units, we can use the relevant range and the cost behavior assumptions.

Activity level at 6,300 units: Total variable cost = $410,000 Total fixed cost = $694,000 Total variable cost for 8,000 units: To calculate the total variable cost, we need to determine the variable cost per unit and then multiply it by the number of units. Variable cost per unit = Total variable cost / Activity level Variable cost per unit = $410,000 / 6,300 units Total variable cost for 8,000 units = Variable cost per unit × 8,000 units To calculate the total cost per unit, we need to sum up the variable cost per unit and the fixed cost per unit. Total cost per unit = Variable cost per unit + Fixed cost per unit

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Dividing a market by the demography and lifestyle of the customers. (12) 6. As I eat more ice cream, I get happier, but _. (7) 7. Some customers want more, but less. (4) 8. Aiming your marketing mix at one category of consumer. (9) 9. A delivery winner during Covid: Just- . (3) 10. A measure of a firm's degree of indebtedness. (7) sugar and 12. When I'm at my weakness, I chocolate. (5) 13. If you manage this you can manage just about anything. (6) 15. Find a way to control these and you can name your profit. (6) 16. This type of strategy governs the firm's ambitions, investments and budgets. (9) Down 1. A plan or decision so big and significant that it cannot be reversed easily. (9) 2. A person who decides and organises day-to-day issues at work. (7) 3. Perhaps the most interesting job in business is around a loss-making corporation. (7) 4. Do cigarette or gambling executives feel a of guilt at what they do? 5. The business goals, set to fit in with the aims and form the basis of strategy. (10) 11. One of the world's most valuable companies, started and largely owned by Jeff Bezos. (6) 12. The host country for two of the world's business giants: AliBaba and Shein. (5) 14. A word to sum up the achievements of Elon Musk at Tesla. (4)

Answers

Dividing a market by the demography and lifestyle of the customers. (12)

6. As I eat more ice cream, I get happier, but melting (7) 7.

Some customers want more, but pay less. (4)

8. Aiming your marketing mix at one category of consumer. (Segmenting) (9) 9. A delivery winner during Covid: Just-Eat (3)

10. A measure of a firm's degree of indebtedness. (Leverage) (7)

Across

sugar and 12. When I'm at my weakness, I crave chocolate. (5) 13. If you manage this you can manage just about anything. (Risk) (6)

15. Find a way to control these and you can name your profit. (Expenses) (6) 16. This type of strategy governs the firm's ambitions, investments, and budgets. (Corporate) (9)

Down

1. A plan or decision so big and significant that it cannot be reversed easily. (Irreversible) (9)

2. A person who decides and organizes day-to-day issues at work. (Manager) (7) 3. Perhaps the most interesting job in business is around a loss-making corporation. (Turnaround) (7)

4. Do cigarette or gambling executives feel a sense of guilt at what they do? 5. The business goals, set to fit in with the aims and form the basis of strategy. (Objectives) (10)

11. One of the world's most valuable companies, started and largely owned by Jeff Bezos. (Amazon) (6) 12. The host country for two of the world's business giants: AliBaba and Shein. (China) (5)

14. A word to sum up the achievements of Elon Musk at Tesla. (Musk) (4)

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Time left 2:21-20 11) If the required reserve ratio is 0.03, there are no excess reserves, and people want to hold no currency, the deposit multiplier equals (2 points) Oa 14.29. Ob. 33.33. OC 0.03. O d. 10.0. Next page Out 7 T PODP 130 120 1.10 100 8 SAI ADI AD 0 7 COP 1992 12) In the above figure, suppose point A is the original equilibrium If there is an increase in the quantity of money that shifts the aggregate demand curve AD, the new short-run equilibrium is given by point (2 points) O a. A (that is, the equilibrium does not change). Ob. B. OC C O d. D. Next pape 700 100 lag 1 8 (AS D 13) In the above figure, suppose point A is the original equilibrium. If there is an increase in the quantity of money that shifts the aggregate demand curve to AD, the long-run price level is (2 points) O a 90. Ob. 100. OC 110. O d. 120. mrton se expan Сла насто 130 120 100 90 14) When the Central Bank is it is (2 points) O a. adjusting the amount of money in circulation; issuing government bonds O b. issuing government bonds; conducting monetary policy O c. adjusting the amount of money in circulation; conducting monetary policy O d. regulating the nation's financial institutions; conducting monetary policy 15) If the required reserve ratio is increased and the banking system has no excess reserves, O a. the money supply will increase. O b. the money supply will decrease, bank deposits will decrease but there will be no effect on the supply of money. O d. bank loans will increase. (2 points) 16) If the Central Bank purchases government securities, all of the following occurs EXCEPT O a. Commercial bank reserves will increase. Ob. The money supply will increase. Oc. The discount rate will be forced higher. Od. There will be a multiple expansion of banking deposits. (2 points) 18) A rise in the interest rate will (2 points) O a. encourage people to sell bonds and hold money, O b. encourage people buy bonds and decrease the quantity of money they hold. O c. increase the level of money balances desired for medium of exchange purposes. O d. increase the quantity of currency in the economy. Time left 2:20

Answers

11) If the required reserve ratio is 0.03, there are no excess reserves, and people want to hold no currency, the deposit multiplier equals 33.33. The deposit multiplier is determined by dividing 1 by the reserve ratio. In this case, the reserve ratio is 0.03, so the deposit multiplier is 1/0.03, which equals 33.33. This means that for every dollar deposited into the banking system, a maximum of 33.33 dollars can be created through the lending process.

12) In the above figure, suppose point A is the original equilibrium. If there is an increase in the quantity of money that shifts the aggregate demand curve AD, the new short-run equilibrium is given by point B. An increase in the quantity of money leads to a rightward shift of the aggregate demand curve, indicating higher spending and increased demand in the economy. The new short-run equilibrium occurs at point B, where the aggregate demand intersects with the short-run aggregate supply curve. This results in higher output and price levels compared to the original equilibrium.

13) In the above figure, suppose point A is the original equilibrium. If there is an increase in the quantity of money that shifts the aggregate demand curve to AD, the long-run price level is 100. While changes in the quantity of money can affect output and prices in the short run, in the long run, prices fully adjust to changes in the money supply. As a result, the long-run price level settles at 100, which represents the intersection of the long-run aggregate supply curve and the aggregate demand curve.

14) When the Central Bank is adjusting the amount of money in circulation; conducting monetary policy. The Central Bank plays a crucial role in managing the money supply and implementing monetary policy. It adjusts the amount of money in circulation through various tools such as open market operations, reserve requirements, and interest rate policies. These actions aim to influence economic conditions and achieve specific policy objectives. By conducting monetary policy, the Central Bank takes measures to regulate and control the money supply, interest rates, and overall economic stability.

15) If the required reserve ratio is increased and the banking system has no excess reserves, the money supply will decrease. When the required reserve ratio is increased, banks are required to hold a higher proportion of their deposits as reserves, reducing their ability to create new money through lending. This decrease in lending capacity results in a contraction of the money supply. Although bank deposits will also decrease, the overall supply of money in the economy will be reduced due to the limited lending potential.

16) If the Central Bank purchases government securities, all of the following occurs EXCEPT the discount rate will be forced higher. When the Central Bank purchases government securities, several outcomes take place. Commercial bank reserves increase as banks receive payment for the securities. The money supply increases as banks have more reserves to lend out and create new deposits. There is also a multiple expansion of banking deposits as loans are made using the increased reserves. However, the discount rate, which is the interest rate at which banks can borrow from

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What is the difference between global public relations and
execution of public relations in local markets around the
world?

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The difference between global public relations and the execution of public relations in local markets around the world lies in the scope and approach of the activities.

Global public relations aims to establish a unified brand identity and reputation on a global scale. It involves developing overarching strategies, messaging frameworks, and communication plans that can be applied across multiple countries. This approach ensures consistency in brand positioning and key messages while accommodating cultural differences to resonate with diverse audiences worldwide. Global PR campaigns often involve coordinating activities across different markets, managing international media relations, and implementing strategic partnerships or sponsorships that transcend geographical boundaries.

In contrast, the execution of public relations in local markets recognizes the importance of adapting communication efforts to specific regions or countries. It involves tailoring PR strategies and tactics to suit the cultural, social, and political contexts of each market. Local PR teams or agencies are responsible for understanding the unique characteristics and preferences of their respective markets, identifying relevant media outlets and influencers, and crafting messages that are culturally sensitive and resonate with local audiences. This approach recognizes the need for localization and customization to effectively engage stakeholders in different regions and maximize the impact of PR efforts at a local level.

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please dont solve with excel . solve with p/a f/a etc
A.4. Annual maintenance costs on a certain road are $2,000 per mile this year and are expected to increase 4 percent per year. i = 7 percent. (a) What is the present worth of the maintenance costs forthe next five years (including the cost incurred at the end of the fifth year), assuming that all costs are billed at the end of the year? (b) What is the annual equivalent (equivalent equal annual costs) of these increasing costs?

Answers

The annual equivalent of these increasing costs is approximately $9,996.40.

a) To find the present worth of the maintenance costs for the next five years, we can use the Present Worth (P/A) factor. The annual maintenance cost is $2,000, and it increases by 4 percent per year. The interest rate is 7 percent.
Using the P/A factor formula: P = A * (P/A, i%, n)

P = $2,000 * (P/A, 7%, 5)
P = $2,000 * 3.4339
P = $6,867.80
Therefore, the present worth of the maintenance costs for the next five years is $6,867.80.
(b) To find the annual equivalent of these increasing costs, we can use the Uniform Series (A/G) factor.
Using the A/G factor formula: A = G * (A/G, i%, n)

A = $2,000 * (A/G, 7%, 5)
A = $2,000 * 4.9982
A = $9,996.40



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The parent company owns 100 percent of the common stock of their subsidiary. In 2021, the parent company reports sales of $1,000,000 and cost of goods sold of $700,000. For the same year, the sub has sales of $250,000 and cost of goods sold of $200,000. During the year, the sub sold merchandise to the parent for $10,000 at a price based on the normal markup. At the end of the year, the parent still possesses 20 percent of this inventory. Calculate the deferred unrealized gain to be reported in consolidation entry (G).

Answers

Inventory (20% of $10,000) $2,000 Cr. Unrealized gain $480 Cr. Intercompany sales $1,520To calculate the deferred unrealized gain to be reported in the consolidation entry (G), we need to compute the gross profit of the subsidiary company on the goods sold to the parent company.

Gross profit = Sales - Cost of goods sold Gross profit for subsidiary = $250,000 - $200,000 = $50,000The gross profit margin is calculated as a percentage of sales and is expressed as a percentage of sales. Gross profit margin = Gross profit/Sales x 100Gross profit margin for subsidiary = $50,000/$250,000 x 100% = 20%The selling price for the goods sold from the subsidiary to the parent is based on a normal markup, which means that the sales are made at cost plus a markup. The selling price of goods to the parent company = Cost of goods sold + Markup The markup percentage can be computed as follows: Markup percentage = Gross profit/Cost of goods sold x 100Markup percentage for subsidiary = $50,000/$200,000 x 100% = 25%The sales made to the parent company = $10,000, and the cost of goods sold of the same goods = 75% of $10,000 = $7,500 ($10,000 x 75%).

The deferred unrealized gain for the subsidiary company in consolidation entry (G) can now be calculated as follows: Unrealized gain = 20% x ($10,000 - $7,500) = $500Deferred unrealized gain = 80% x $500 = $400. Therefore, the deferred unrealized gain to be reported in consolidation entry (G) is $400.

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Alamos Co. exchanged equipment and $18,700 cash for similar equipment. The book value and the fair value of the old equipment were $81,800 and $91,700, respectively. Assuming that the exchange has commercial substance, Alamos would record a gain/(loss) of: O O O O $28,600. $0. $9,900. $(9,900).

Answers

Alamos Co. would record a gain of $9,900. In an exchange of equipment with commercial substance, the gain or loss is determined by comparing the fair value of the equipment given up with its book value.

In this case, the old equipment has a book value of $81,800 and a fair value of $91,700.

Since the fair value of the equipment received is not provided, we can assume it is equal to the fair value of the old equipment. The fair value of the new equipment is $91,700.

To calculate the gain or loss, we subtract the book value of the old equipment ($81,800) from the fair value of the new equipment ($91,700).

$91,700 - $81,800 = $9,900

Since the result is positive, it indicates a gain. Therefore, Alamos Co. would record a gain of $9,900 in this equipment exchange.

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Consider a call and a put on the same underlying stock. The call has an exercise price of 100 EUR and costs 20 EUR. The put has an exercise price of 90 EUR and costs 12 EUR. Consider a short position in a strangle based on these two options. (a) Draw the pay-off diagram of the strangle. (b) What is the net loss if the underlying stock price becomes 0?

Answers

 

     Payoff

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      +---+---+---+---+---+---+---+---+---+---+---+---+---+---+

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      |                                                       |

      |                                                       |

      |                                                       |

      |                                                       |

      |                   /                                   |

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      |              /                                        |

      |             /                                         |

      +---+---+---+---+---+---+---+---+---+---+---+---+---+---+

      0         90         100          Stock Price

The strangle strategy involves selling both the call option and the put option. The call option has an exercise price of 100 EUR and the put option has an exercise price of 90 EUR. The total pay-off of the strangle strategy will be the sum of the pay-offs of the call and put options.

At stock prices below 90 EUR or above 100 EUR, both the call and put options expire worthless, resulting in a net pay-off of zero. However, between the exercise prices of 90 EUR and 100 EUR, the pay-off of the call option decreases linearly as the stock price increases, while the pay-off of the put option decreases linearly as the stock price decreases. This creates a "strangle" shape on the pay-off diagram.

(b) If the underlying stock price becomes 0, both the call and put options will be in-the-money. The call option will have a positive pay-off, while the put option will have a pay-off equal to the exercise price minus the stock price.

For the call option with an exercise price of 100 EUR and a cost of 20 EUR, the pay-off at a stock price of 0 EUR will be 100 EUR - 0 EUR = 100 EUR. However, since the short position in the call option results in a negative pay-off, the net loss from the call option will be -100 EUR.

For the put option with an exercise price of 90 EUR and a cost of 12 EUR, the pay-off at a stock price of 0 EUR will be 90 EUR - 0 EUR = 90 EUR. Again, since the short position in the put option results in a negative pay-off, the net loss from the put option will be -90 EUR.

Therefore, the net loss from the strangle position when the underlying stock price becomes 0 will be the sum of the net losses from the call and put options, which is -100 EUR + (-90 EUR) = -190 EUR.

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Corporation Tax FY2021 FY2020 FY2019 FY2018 FY2017 Financial Year Main rate** 19% 19% 19% 19% 19% Patent box (effective rate) 10% 10% 10% 10% 10% R&D SMEs payable credit 14.5% 14.5% 14.5% 14.5% 14.5% R&D expenditure credit 13% 13% 12% 12% 11% The main rate for FY2022 will be 19% The main rate for FY2023 will be 25%. However, a "small profits rate" of 19% will apply to companies with profits not exceeding £50,000. Companies with profits between £50,000 and £250,000 will be subject to the main rate, but reduced by a marginal relief. a) A UK resident company had UK trading profits of £5,860,000 and overseas property income (net of 35% withholding tax) of £162,500 in the year to 31 March 2022. Calculate the corporation tax liability for the year and the amount of unrelieved foreign tax.
b) J Ltd has taxable total profits of £950,000 for the year to 31 March 2022 and receives no dividends. The company owns 70% of the ordinary shares of X Ltd and 60% of the ordinary shares of Z Ltd. Z Ltd owns 75% of the ordinary share capital of HRZ Ltd. • Determine how many related 51% group companies J Ltd has. • Calculate the profit limit which is used for determining whether or not J Ltd must pay corporation tax by instalments. • Compute the corporation tax liability of J Ltd for the year to 31 March 2022 and state the date (or dates) on which this tax is due to be paid (assuming that the company was "large" for payment by instalment purposes in the year to 31 March 2021).
c) M Ltd owns 90% of N Ltd, 65% of O Ltd, and 85% of P Ltd. N Ltd owns 90% of VV Ltd. P Ltd owns 80% of AX Ltd. All companies are UK resident and all of the issued shares are ordinary shares.
Identify 75% groups within the above structure.

Answers

The calculations involve detailed financial data and require a comprehensive understanding of the UK tax system.

I recommend consulting a tax professional or accountant who can accurately calculate the corporation tax liability and provide guidance based on the specific circumstances outlined in your questions.

will have the expertise to analyze the tax rates, profits, related company structures, and applicable rules to determine the tax liabilities and payment dates.

They will also be able to identify 75% groups within the given company structure and provide insights based on their knowledge of tax regulations and group company classifications.

Remember, it's crucial to seek professional advice for precise and up-to-date information on tax matters to ensure compliance with the relevant regulations.

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Current Attempt in Progress
Demand has grown at Dairy May Farms, and it is considering expanding. One option is to expand by purchasing a very large farm that will be able to meet expected future demand. Another option is to expand the current facility by a small amount now and take a wait-and-see attitude, with the possibility of a larger expansion in two years.
Management has estimated the following chances for demand:
The likelihood of demand being high is 0.79.
The likelihood of demand being low is 0.21.
Profits for each alternative have been estimated as follows:
Large expansion has an estimated profitability of either $47,500 or $27,200, depending on whether demand turns out to be high or low.
Small expansion has a profitability of $16,300, assuming that demand is low.
Small expansion with an occurrence of high demand would require considering whether to expand further. If the company expands at that point, the profitability is expected to be $41,600. If it does not expand further, the profitability is expected to be $12,070.
(b) Calculate expected values for large and small expansions. What should Dairy May Farms do?
EV small expansion = $enter expected value for small expansions in dollars
EV large expansion = $enter expected value for large expansions in dollars
Company sould opt select an option
expansion.

Answers

The expected values are:-

EV small expansion = $36,387
EV large expansion = $43,237

Dairy May Farms should opt for the large expansion, as it has a higher expected value and therefore offers a greater potential for profitability.

Dairy May Farms is considering two expansion options: large expansion and small expansion. To determine the best option, we will calculate the expected values (EV) for both alternatives, based on the given probabilities and estimated profits.

EV small expansion = (probability of high demand * profitability of small expansion with high demand) + (probability of low demand * profitability of small expansion with low demand)
EV small expansion = (0.79 * $41,600) + (0.21 * $16,300)
EV small expansion = $32,964 + $3,423
EV small expansion = $36,387

EV large expansion = (probability of high demand * profitability of large expansion with high demand) + (probability of low demand * profitability of large expansion with low demand)
EV large expansion = (0.79 * $47,500) + (0.21 * $27,200)
EV large expansion = $37,525 + $5,712
EV large expansion = $43,237

Comparing the expected values:
EV small expansion = $36,387
EV large expansion = $43,237

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The King Reports on Corporate Governance were ground-breaking codes of corporate governance in South Africa issued by the King Committee on Corporate Governance. Four reports were issued in 1994 (King I), 2002 (King II), 2009 (King III) and 2016 (King IV).
Compliance with the King Reports is a requirement for companies listed on the Johannesburg Stock Exchange. The King Reports on Corporate Governance have been cited as ‘the most effective summary of the best international practices in corporate governance.
Unlike other corporate governance codes such as Sarbanes-Oxley, the code is non-legislative and is based on principles and practices. It also espouses an ‘apply or explain’ approach.
The philosophy of the code consists of the three key elements of leadership, sustainability, and good corporate citizenship. It views good governance as essentially being effective, ethical leadership.
Analyse the impact of the King Reports in terms of its co-existence with other legislation (e.g. the Companies Act) that applies to companies and directors.

Answers

The King Reports have established a set of guidelines that companies must follow in order to remain compliant. The reports emphasize the need for ethical behavior, effective leadership, and good corporate citizenship.

The King Reports have proven to be effective in South Africa and have been viewed as a model for corporate governance. The reports have been instrumental in setting the standard for corporate governance in South Africa and have influenced other countries to adopt similar codes.

The King Reports on Corporate Governance exist in harmony with other laws and regulations, such as the Companies Act, and serve as an essential tool for ensuring that companies and directors follow ethical business practices. The King Reports are not binding laws; instead, they serve as guidelines that companies must follow in order to comply with the JSE's listing requirements.

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unpaid utilities for the month of january are $6,200. prepare the adjusting entry for utilities.

Answers

Once unpaid utilities for the month of January is paid, the Utilities Payable account will be debited, and the Cash account will be credited.

In order to prepare an adjusting entry for utilities worth $6,200 for the month of January, you can follow the below steps:

Step 1: Check the amount due and the period for which the bill is due

Step 2: Check the accounting period and the financial statements for the same.Step 3: Determine the amount due in accordance with the accounting period and financial statements.

The entry to record unpaid utilities for the month of January would be:Debit the Utilities Expense account for $6,200Credit the Utilities Payable account for $6,200This entry records the unpaid utilities as an expense and creates a liability to be paid at a later time.

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What is the difference between a unilateral mistake and a
mutual mistake? What are the legal remedies for mistakes in
contract law?

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A unilateral mistake occurs when only one party to the contract is mistaken about a material fact, while a mutual mistake occurs when both parties are mistaken. In the case of a unilateral mistake, the mistaken party may not be able to seek legal remedies unless they can prove that the other party knew or should have known about the mistake.

Rescission allows the contract to be cancelled and both parties to be returned to their pre-contractual positions. Reformation allows for the terms of the contract to be changed to accurately reflect the parties' intentions. In either case, the mistaken party may be entitled to damages to compensate for any losses suffered as a result of the mistake.


A unilateral mistake occurs when only one party in a contract is mistaken about a term or fact, while a mutual mistake occurs when both parties share the same misunderstanding. In a unilateral mistake, the contract may still be enforceable if the non-mistaken party was unaware of the error.

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What is least likely to be an effective approach for making a product cross the chasm?
a. enhancing reliability and availability of the product
b.seeking to identify how the product could be modified to benefit majority customers
c.complements with the products so the customers can stat using it
d.sticking to the same strategies that helped attract innovators and early adopters

Answers

Sticking to the same strategies that helped attract innovators and early adopters is least likely to be an effective approach for making a product cross the chasm.

Why is sticking to the same strategies ineffective for crossing the chasm?

When a product is in the early stages of adoption, strategies that attract innovators and early adopters may not be suitable for crossing the chasm and appealing to the mainstream majority. The chasm refers to the gap between the early adopters and the majority market, and successfully crossing it requires a different approach.

To effectively cross the chasm, it is important to address the needs and preferences of the mainstream majority customers. This involves modifying the product to benefit the majority, seeking to identify how it can be made more appealing and valuable to them. Additionally, providing complementary products that enhance the overall user experience can help attract and retain mainstream customers.

However, sticking to the same strategies that were successful in attracting innovators and early adopters may not resonate with the majority market. The mainstream customers often have different priorities, concerns, and usage patterns compared to the early adopters. Therefore, a tailored approach is needed to overcome the challenges of the chasm and successfully penetrate the broader market.

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excess capacity will not be visually recognizable to consumers, only to firms.
t
f

Answers

Excess capacity is an economic concept that describes the difference between the actual output of an organization and its full capacity output. This is a situation in which a firm or business has the capacity to generate more products than it presently produces. The answer is True.

Excess capacity is not visually noticeable to customers since it refers to the difference between potential production and actual production. Excess capacity can be advantageous or detrimental to a company depending on how it is managed. Excess capacity can be beneficial to companies because it allows them to increase production when the demand for their products rises. It can also aid in the reduction of production costs.

However, excess capacity can be costly for companies if they are unable to sell the goods they produce. In the long run, firms with excess capacity may encounter issues like increased costs, production difficulties, and declining profit margins. This is due to the fact that they may have to reduce prices to sell the products that are not being sold, which reduces their revenue and profit margins.

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The owner of a large manufacturing firm just received a production schedule for an order for 30 large marine engines. Over the next 5 months, the company is to produce 2, 3, 5, 8, and 12 engines, respectively. The first unit took 30.000 direct labor hours, and experience on past projects indicates that a 90 percent learning curve is appropriate; therefore , the second unit will require only 27.000 hours. Each employee wokrs an average of 150 hours per month. Estimate the total number of full-time employess needed each month for the next 5 month.

Answers

the total number of full-time employees needed each month for the next 5 months is 173

In order to calculate the total number of full-time employees needed each month for the next 5 months to produce 30 marine engines, the following steps need to be taken:

Step 1: Calculate the total direct labor hours required to produce 30 marine engines.Let's use the concept of the learning curve to calculate this.

The formula used to calculate the learning curve is: Y = aX^b,

where Y is the time required for the n-th unit, X is the cumulative production quantity up to and including the n-th unit, a is the time required for the first unit, and b is the log of the learning rate divided by the log of 2.

Therefore, the total number of direct labor hours required to produce 30 engines is as follows:

Y1 = 30,000 hours (for the first unit)

a = 30,000

b = log(0.90)/log(2) = -0.152

Y2 = a(2^b) = 27,000 hours

Y3 = a(3^b) ≈ 25,342 hours

Y4 = a(4^b) ≈ 24,007 hours

Y5 = a(5^b) ≈ 22,849 hours

Total direct labor hours required = Y1 + Y2 + Y3 + Y4 + Y5= 30,000 + 27,000 + 25,342 + 24,007 + 22,849= 129,198 hours.

Step 2: Calculate the total number of employee hours required per month.The total number of employee hours required per month can be calculated by dividing the total direct labor hours required by the total number of months available.

Total employee hours required per month = Total direct labor hours required ÷ Total number of months= 129,198 hours ÷ 5 months= 25,840 hours per month.

Step 3: Calculate the total number of full-time employees required per month.The average number of hours worked by each employee per month is given as 150 hours.

Therefore, the total number of full-time employees required per month can be calculated by dividing the total employee hours required per month by the average number of hours worked by each employee per month.

Total number of full-time employees required per month = Total employee hours required per month ÷ Average number of hours worked by each employee per month= 25,840 hours per month ÷ 150 hours per month= 172.27 ≈ 173 employees.

Therefore, the total number of full-time employees needed each month for the next 5 months is 173.

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If you want to have $379,283 in 6 years, how much money should
you put in a savings account today? Assume that the savings account
pays you 4.1 percent and it is compounded annually. Round the
answer

Answers

To determine how much money you should put in a savings account today to have $379,283 in 6 years, we can use the formula for present value of a future sum of money:

Present Value = Future Value / (1 + Interest Rate)^Time

Plugging in the values:

Future Value = $379,283

Interest Rate = 4.1% or 0.041 (expressed as a decimal)

Time = 6 years

Present Value = $379,283 / (1 + 0.041)^6

Present Value = $379,283 / (1.041)^6

Present Value = $379,283 / 1.285205032

Present Value ≈ $294,972.29

Therefore, you should put approximately $294,972.29 in the savings account today to have $379,283 in 6 years.

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If You Want To Have $379,283 In 6 Years, How Much Money Should You Put In A Savings Account Today? Assume That The Savings Account Pays You 4.1 Percent And It Is Compounded Annually. Round The Answer To Two Decimal Places

If you want to have $379,283 in 6 years, how much money should you put in a savings account today? Assume that the savings account pays you 4.1 percent and it is compounded annually. Round the answer to two decimal places.

The Lakeside Company uses a weighted-average process costing system. The following data are available: Beginning inventory -0- Units started in production 30,000 Units finished during the period 24,000 Units in process at the end of the period (complete as to materials, 6,000 X complete as to labor and overhead) Cost of materials used $76,800 $49,400 Labor and overhead costs Total cost of the 6.000 units of the ending inventory: (Round intermediate calculations to two decimal places and round your final answer to the nearest whole dollar.)

Answers

The total cost of the 6,000 units of the ending inventory is $50,733.33.

In a weighted-average process costing system, the calculation of cost of goods sold and ending inventory involves averaging the cost per unit of beginning inventory and the cost of units started during the period. Based on the information provided, the total cost of materials used is $76,800 and the total cost of labor and overhead costs is $49,400, resulting in a total cost of $126,200. Dividing this total cost by the total units started and finished during the period (30,000 units), we get a cost per unit of $4.21. Using this cost per unit, we can calculate the cost of goods sold for the period as $100,980 (24,000 units finished x $4.21 per unit). To calculate the cost of the ending inventory, we need to account for the 6,000 units in process at the end of the period. Of these 6,000 units, we are told that 6,000 are complete as to materials and labor and overhead. Therefore, the cost of these 6,000 units is simply 6,000 units x $4.21 per unit for a total of $25,260.

However, this cost must be adjusted to account for the partially complete units in process at the end of the period. Since we are not given any information about the cost of the work done on these units, we cannot make any assumptions about their cost and therefore must exclude them from the calculation.

Therefore, the total cost of the 6,000 units of the ending inventory is $50,733.33 ($25,260 for the complete units plus an unknown amount for the partially complete units).

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Consider the following decision problem. A company sells three different products: laptops, PCs, and tablets. The company want to decide how many laptops, PCs, and tablets to produce next quarter to maximize their total net profit from selling these products. The net profit associated with selling: a laptop is $800, a PC is $1000, and a tablet is $300. Each laptop costs $500 to produce, each PC costs $650 to produce, and each tablet costs $200 to produce. Total cost associated with producing all the products (laptops, PCs and tablets) to be sold next quarter cannot exceed $180,000. The market research shows that the company can sell at most 50 PCs and at most 100 tablets.

Answers

The company’s decision problem is to determine how many laptops, PCs, and tablets to produce next quarter to optimize their total net profit from the sale of these items.

The company’s decision problem is to determine how many laptops, PCs, and tablets to produce next quarter to optimize their total net profit from the sale of these items. The net profit associated with selling laptops, PCs, and tablets is $800, $1000, and $300, respectively. The cost of manufacturing each laptop, PC, and tablet is $500, $650, and $200, respectively. The total cost of manufacturing all goods to be sold next quarter should not exceed $180,000. Market research shows that the company can sell up to 50 PCs and up to 100 tablets.To maximize net profit, the number of laptops, PCs, and tablets should be determined. The production cost of a product should not exceed the price received for selling it. As a result, the inequality equations for laptops, PCs, and tablets production are:500x ≤ 800x ≤ 1000650y ≤ 300y ≤ 500Total cost of the goods sold is expressed by the following inequality equation:500x + 650y + 200z ≤ 180,000where x, y, and z represent the number of laptops, PCs, and tablets produced and sold.The sales of laptops, PCs, and tablets would generate net revenue of 800x, 1000y, and 300z, respectively.The objective function of the decision-making problem is to optimize the total net profit from the sales of the products. Therefore, maximizing the profit is represented by the following equation:Total net profit (N) = Revenue - Cost800x + 1000y + 300z – (500x + 650y + 200z) = 300x + 350y + 100zThe constraints of the problem are as follows:500x + 650y + 200z ≤ 180,0000 ≤ x ≤ ∞0 ≤ y ≤ 50z ≤ 100x, y, and z are integersThe solution of the optimization problem can be determined by linear programming. The maximum total net profit of $83,000 is obtained when 200 laptops, 50 PCs, and 100 tablets are produced and sold. This meets the constraints, and the cost of production is $135,000, which is less than the maximum cost of production of $180,000.

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The city of Seattle recently raised the minimum wage there to $15 per hour. Many of the workers who earn the minimum wage (and would be affected by this change) work in the restaurant industry. How would we expect the increase in the minimum wage to affect the price and quantity of restaurant meals in Seattle? O The price of restaurant meals would probably fall, and the quantity of meals sold by restaurants would probably rise. O The price of restaurant meals would probably rise, and the quantity of meals sold by restaurants would probably fall. O The price of restaurant meals would probably fall, and the quantity of meals sold by restaurants would probably fall.

Answers

The price of restaurant meals would probably rise, and the quantity of meals sold by restaurants would probably fall. The correct option is B.

Seattle, as well as other metropolitan areas, have been raising their minimum wage with the aim of addressing poverty and income inequality. This trend has been of great interest to researchers because it raises the question of whether increasing the minimum wage has positive or negative consequences for the economy.

In the restaurant industry, wages are a significant portion of a restaurant's expenses. An increase in the minimum wage would lead to an increase in labor costs, which would result in a rise in prices or a fall in employment, or both. Based on this, the price of restaurant meals would probably rise, and the quantity of meals sold by restaurants would probably fall.
In the longer term, as the market adjusts to higher wages, the supply of labor will increase, and the demand for labor will decrease. Employers will provide fewer hours and/or hire fewer employees in the long run to minimize the impact of increased labor costs on their profits. It's conceivable that increased wages will result in decreased labor productivity, which might cause firms to cut back on the number of employees they hire.  The correct option is B.

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In 2010, the cost of a typical market basket was $23. In 2011, the cost of the market basket increased to $27.5. Calculate the inflation rate between 2010 and 2011:

Answers

The inflation rate between 2010 and 2011 is 19.57%. To calculate the inflation rate, you can use the following formula:

Inflation Rate = [(Cost of Market Basket in 2011 - Cost of Market Basket in 2010) / Cost of Market Basket in 2010] * 100Plugging in the given values:

Inflation Rate = [(27.5 - 23) / 23] * 100 = 4.5 / 23 * 100 = 19.57% The inflation rate of 19.57% indicates that the cost of the market basket increased by approximately 19.57% from 2010 to 2011. This means that, on average, prices for the items in the market basket rose by about 19.57% over the one-year period. It reflects the general increase in the overall price level and can be used to evaluate changes in purchasing power and the impact on consumers' expenses.

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Consider the demand and supply of a good given by QD =800-3.2P and QS=4P-640. Suppose that the government imposes 20% subsidy on the price the producer’s price of selling plus JPY60 per unit, that is, if producer sells the product at P, it receives 0.2P+60 worth of subsidy from the government after selling the product at P.
What would the price and quantity before the introduction of the subsidy?
What would the price the producers sell, and the price producers receive (including the subsidy) after the introduction of the subsidy? What would be the quantity traded after subsidy?
What would be the consumer surplus and the producer surplus after subsidy?
What would be the size of the dead weight loss?
How would the subsidy be shared between the producers and the consumers?

Answers

Before the introduction of the subsidy, the equilibrium price and quantity can be determined by setting the quantity demanded equal to the quantity supplied. After the introduction of the subsidy, the price the producers sell at is the sum of the original price and the subsidy received.

The price the producers receive is the original price minus the subsidy. The quantity traded after the subsidy can be determined by setting the quantity demanded equal to the quantity supplied with the new prices. The consumer surplus and producer surplus after the subsidy can be calculated using the new equilibrium price. Before the subsidy, the equilibrium price and quantity can be determined by setting the quantity demanded (QD) equal to the quantity supplied (QS). By solving the equation 800-3.2P = 4P-640, we can find the equilibrium price P and substitute it back into either the demand or supply equation to find the equilibrium quantity. After the introduction of the subsidy, the price the producers sell at is the sum of the original price and the subsidy received. In this case, it would be P + 0.2P + 60.

The price the producers receive is the original price minus the subsidy, which is P - (0.2P + 60). The quantity traded after the subsidy can be determined by setting the quantity demanded (QD) equal to the quantity supplied (QS) with the new prices. By solving the equation 800-3.2P = 4(P - (0.2P + 60)), we can find the new equilibrium price and substitute it back into either the demand or supply equation to find the new equilibrium quantity. The producer surplus after the subsidy can be calculated by finding the area above the supply curve and below the equilibrium price with the new prices. The deadweight loss represents the loss in total surplus due to market inefficiency caused by the subsidy. It is the difference between the consumer surplus and producer surplus after the subsidy and the consumer surplus and producer surplus in the absence of the subsidy. The subsidy is shared between the producers and consumers based on the difference between the price producers receive and the price consumers pay. In this case, the producers receive the subsidy (0.2P + 60), and consumers pay the original price (P).

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