Answer: B. less than 6%.
Explanation:
Market interest rates have risen since the investor purchased the treasury bonds which means that the treasury bonds will be less sought after now because they offer a lower return than can be found in the market even if risk adjusted.
The investor will therefore only be able to sell it for a lower price which means that they will receive a lower rate for it. As we cannot say for certain what this rate will be, it is best to say that it will be under 6%.
Oriental Foods Inc. is a multinational food and beverage company. Its product labels focus on being foods that are easy to make in 5 minutes or less for a complete meal that's great for lunch or a snack. In this case, Oriental Foods is using _______.
Answer:
Persuasive labelling
Explanation:
Persuasive labelling is a type of product packaging or appearance that focuses on a promotional theme.
The aim is to increase consumer loyalty and ultimately increase sales.
I'm the given scenario Oriental Foods Inc. uses product labels that informs consumers that the foods are easy to make in 5 minutes or less for a complete meal that's great for lunch or a snack.
This is persuasive labelling
Daphne Inc., a steel manufacturing company, is planning to buy a new plant at $1,090,000. The life of the plant is estimated to be 5 years and has cash flows of $109,000, $218,000, $327,000, $436,000, and $545,000. Calculate the payback period for the new plant.
a. 5 years
b. 2 years
c. 4 years
d. 3 years
Answer:
The payback period is exactly 4 years.
Explanation:
Giving the following information:
Initial investment= $1,090,000
Cf1= 109,000
Cf2= 218,000
Cf3= 327,000
Cf4= 436,000
Cf5= 545,000
The payback period is the time required to cover the initial investment:
Year 1= 109,000 - 1,090,000= -981,000
Year 2= 218,000 - 981,000= -763,000
Year 3= 327,000 - 763,000= 436,000
Year 4= 436,000 - 436,000= 0
The payback period is exactly 4 years.
At the beginning of last year an investor purchased ABC Corporation at $100 per share. During the year, the firm made a 4 for 1 split, and then paid dividends of $1.50 per share. At the end of the year, the investor sold the shares at $26 per share. What is the rate of return?
Answer:
10%
Explanation:
Cost of investment = $100
Total dividend = 4 for 1 split = 4*$1.5 = $6.00
Total sales proceed = $26*4 = $104
Total return = [(Sale price + Dividend - Cost of purchase) / Cost of purchase] * 100
Total return = ($104 + $6 - $100) / 100
Total return = 10 / 100
Total return = 0.10
Total return = 10%
So, the rate of return is 10%
A company must repay the bank $10,000 cash in three years for a loan. The loan agreement specifies 8% interest compounded annually. The present value factor for three years at 8% is 0.7938. How much cash did the company receive from the bank on the day they borrowed this money?
A. $12,400.
B. $9,200.
C. $7,938.
D. $7,600.
E. $10,000.
Answer: C. $7,938
Explanation:
This is a straightforward question. From the question, we are informed that a company must repay the bank $10,000 cash in three years for a loan and that the loan agreement specifies 8% interest compounded annually and we are given the present value factor for three years at 8% is 0.7938.
Therefore, the amount of cash that the company receive from the bank on the day they borrowed this money will be:
= $10000 × Present value factor at 8%
= $10000 × 0.7938
= $7938
The cost object in a job order system is the ______ and the cost object in a process costing system is the ______.
a. process; specific job
b. specific job; process
c. process; department
d. department; process
Answer:
B. Hope it helps:)
Explanation:
Answer: C. Process;Department
Explanation: the cost object in a job order system is the specific job and the cost object in a process costing system is the process.
In the manufacture of 9,400 units of a product, direct materials cost incurred was $174,900, direct labor cost incurred was $109,800, and applied factory overhead was $44,200. What is the total conversion cost?
Answer:
$154,000
Explanation:
Calculation to determine the total conversion cost
Using this formula
Total conversion cost=Direct labor cost incurred
+Applied factory overhead
Let plug in the formula
Total conversion cost =$109,800+$44,200
Total conversion cost=$154,000
Therefore Total conversion cost is $154,000
Sandoval needs to determine its year-end inventory. The warehouse contains 26,000 units, of which 3,600 were damaged by flood and are not sellable. Another 2,600 units were purchased from Markor Company, FOB shipping point, and are currently in transit. The company also consigns goods and has 4,600 units at a consignee's location. How many units should Sandoval include in its year-end inventory?
a. 29,000.
b. 21,000.
c. 23,000.
d. 19,000.
e. 26,000.
Answer:
the number of units that should Sandoval include in its year-end inventory is 29,600 units
Explanation:
The computation of the number of units that should Sandoval include in its year-end inventory is given below:
= Opening units + units purchased + units at consignee location - units damaged
= 26,000 + 2,600 + 4,600 - 3,600
= 29,600
Hence, the number of units that should Sandoval include in its year-end inventory is 29,600 units
This is the answer but the same is not provided in the given options
Hello I need help please
Answer:
A
Explanation:
saying they don't know is a clear sign of being uninformed
Answer:
I want to say the correct answer is d.
Explanation:
I want to say that is the correct answer but I am not sure.
Nation Furniture is a furniture manufacturing facility. Its workers just signed a two-year contract. The price level in the economy has increased.
a. If the price level increases, input prices will:_____.
a) increase.
b) decrease.
c) remain constant.
b. If the price level increases, output prices will:___.
a) increase.
b) decrease.
c) remain constant.
c. In the short run, the firm will experience a(n):______.
a) increase in economic profits.
b) decrease in economic profits.
c) increase in economic loesses.
Answer:
a. c) remain constant. b. a) increase.c. a) increase in economic profitsExplanation:
a. The workers have just signed a two-year contract which means that in the short run, their wages are fixed to what was agreed to in the contract. Input prices will therefore remain constant.
b. Output prices on the other hand will increase to match the increase in price levels.
c. The company would therefore see an increase in economic profits because they are getting a higher revenue from the increased prices of outputs than they are incurring costs from the constant input prices.
You feel that you will need $2.2 million in your retirement account and when you reach that amount, you plan to retire. You feel you can earn an APR of 10.2 percent compounded monthly and plan to save $305 per month until you reach your goal. How many years will it be until you reach your goal and retire
Answer: 40.7 years
Explanation:
You can use Excel to sold for this using the NPER function.
Rate = 10.2% / 12 months = 0.85%
Payment is $305 per month
Present value is $0
Future value is $2,200,000
Number of periods = 488.1979353
In years this is:
= 488.1979353 / 12
= 40.7 years
R&D Technology Corporation just paid a dividend of $0.50 per share. Analysts expect its dividend to grow at 24 percent per year for the next two years and then 8 percent per year thereafter. If the required rate of return in the stock is 16 percent, calculate the current value of the stock.
Answer:
$8.82
Explanation:
The computation of the current value of the stock is given below:
Given that
The dividend per share is $0.50
The growth rate is 24% for the next two years
And, then it should be 8 % per year
And, the required rate of return is 16%
Now based on the above information, the current value of the stock is $8.82
The calculation is to be shown in the attachment
A manufacturing company that produces a single product has provided the following data concerning its most recent month of operations: Selling price $ 146 Units in beginning inventory 0 Units produced 2,470 Units sold 2,040 Units in ending inventory 430 Variable costs per unit: Direct materials $ 50 Direct labor $ 20 Variable manufacturing overhead $ 11 Variable selling and administrative expense $ 19 Fixed costs: Fixed manufacturing overhead $ 69,160 Fixed selling and administrative expense $ 20,400 The total gross margin for the month under absorption costing is:
Answer:
Total gross margin= $75,480
Explanation:
Giving the following information:
Selling price $ 146
Units in beginning inventory 0
Units produced 2,470
Units sold 2,040
Variable costs per unit:
Direct materials $ 50
Direct labor $ 20
Variable manufacturing overhead $ 11
Fixed costs:
Fixed manufacturing overhead $ 69,160
The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.
First, we need to calculate the unitary production cost:
Unit product cost= direct material + direct labor + total unitary overhead
Unitary fixed overhead= 69,160 / 2,470= $28
Unit product cost= 50 + 20 + (11 + 28)= $109
Now, the gross margin:
Unitary Gross margin= selling price - Unit product cost
Unitary Gross margin= 146 - 109
Unitary Gross margin= $37
Total gross margin= 37*2,040
Total gross margin= $75,480
A job order costing system does which of the following? Select one: A. Is used to determine period costs in a service company B. Is used to determine unit costs when products are manufactured in a continuous flow process C. Allocates manufacturing costs to individual jobs to determine unit costs D. Both A and B E. None of the above
Answer: C. Allocates manufacturing costs to individual jobs to determine unit costs
Explanation:
Job order costing is used to identify the cost of producing a single units of a good. It is usually used by small to medium scale companies who produce per good or by companies that specialize in the production of a custom goods and services.
Under job order costing, manufacturing costs are allocated to individual jobs in order to determine what the individual jobs cost so that an appropriate selling price can be given.
Measuring and reporting quality costs does not solve quality problems. Decreases in quality costs generally occur as soon as improvement programs are implemented. Quality cost information helps managers identify the relative importance of quality problems. The impact of customer ill will is generally not found on quality control reports.
a. True
b. False
Answer:
True statements:
Measuring and reporting quality costs does not solve quality problems.
Quality cost information helps managers identify the relative importance of quality problems.
The impact of customer ill will is generally not found on quality control reports.
Explanation:
When the quality cost is determined and reported so the same should not solve the problem of the quality also the information related to the quality cost helps the managers to identify the significance of the quality issue
The effect of the customer could not found on the reports made for quality control
But if there is a decrease in the quality cost so the improvement programs could not be implemented soon
Tobias has a brokerage account and buys on the margin, which resulted in an interest expense of $52,000 during the year. Income generated through the brokerage account was as follows: Municipal interest $104,000 Taxable dividends and interest 520,000 If required, round any division to two decimal places and use in subsequent computations. Round your final answer to the nearest dollar. How much investment interest can Tobias deduct
Answer: $43,160
Explanation:
The amount of investment interest that can be deducted is:
= Interest expense * Proportion of total income that is taxable
Municipal interest is not taxable so the proportion of total income that is taxable is:
= Taxable dividends and interest / Total income
= 520,000 / (520,000 + 104,000)
= 0.83
Amount of investment interest that is deductible:
= 52,000 * 0.83
= $43,160
The cost of leather used to produce leather jackets falls by 30%. This will result in ________.
a. a decrease in demand.
b. an increase in the quantity demanded.
c. an increase in demand.
There are different kinds of cost. The above scenario will result in an increase in demand.
A reduction in the price of leather jackets often makes more people to buy leather jackets, hence reducing the demand for sweatshirts.If the price of a good is said to falls, the quantity supplied of that good also decreases. The lower the price, the more the demand for that product.
learn more about demand from
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On December 18, Intel receives $249,000 from a customer toward a cash sale of $2.49 million for computer chips to be completed on January 23. The computer chips had a total production cost of $1.49 million. What journal entries should Intel record on December 18 and January 23
Answer:
December 18
Debit cash $249,000
Credit deferred revenue $249,000
January 23rd
Debit Cash $2,241,000
Debit deferred revenue $249,000
Credit sales revenue $2,490,000
January 23rd
Debit Cost of goods sold $1.49 million
Credit Inventory $1.49 million
Explanation:
Preparation of the journal entries that Intel should record on December 18 and January 23
December 18
Debit cash $249,000
Credit deferred revenue $249,000
January 23rd
Debit Cash $2,241,000
($2.49 million-$249,000)
Debit deferred revenue $249,000
Credit sales revenue $2,490,000
($2,241,000+$249,000)
January 23rd
Debit Cost of goods sold $1.49 million
Credit Inventory $1.49 million
Firm X is considering the replacement of an old machine with one that has a purchase price of $70,000. The current market value of the old machine is $18,000 but the book value is $32,000. The firm's tax rate is 30%. What is the net cash outflow for the new machine after considering the sale of the old machine? Disregard the effect of depreciation of the new machine if acquired.
A. $47,800
B. $70,000
C. $52,000
D. $40,100 20.
Answer:
A. $47,800
Explanation:
Calculation to determine the net cash outflow for the new machine after considering the sale of the old machine
First step
Loss on sale of old machine = 18000 - 32,000
Loss on sale of old machine = ($14,000)
Second step
Tax savings from loss on sale=14,000 x 30%
Tax savings from loss on sale = $4200
Third step
Net benefit from sale of old machine = Sales proceeds + tax on loss of sale
Net benefit from sale of old machine= $18,000 + $4200
Net benefit from sale of old machine= $22,200
Now let determine the Net cash outflow for new machine
Net cash outflow for new machine = Cost of new machine – Net benefit
Net cash outflow for new machine= $70,000 – $22,200
Net cash outflow for new machine= $47,800
Therefore the net cash outflow for the new machine after considering the sale of the old machine is $47,800
Peterson Photoshop sold $2,700 in gift cards on a special promotion on October 15, 2021, and sold $4,050 in gift cards on another special promotion on November 15, 2021. Of the cards sold in October, $270 were redeemed in October, $675 in November, in November, and $330 in December. Of the cards sold in November, $165 were redeemed in November and $385 were redeemed in December. Peterson views the probability of redemption of a gift card as remote if the card has not been redeemed within two months.
At 12/31/2016, Peterson would show a deferred revenue account for the gift cards with a balance of: ____________
a. $1,650.
b. $0.
c. $1,100.
d. $1,485.
Answer:
1650 I think ... I think so maybe
Accounts receivable financing (LO1) Charmin Paper Company sells to the 12 accounts listed next.
Account Receivable Balance Outstanding Average Age of
the Account over the Last Year
A $ 60,800 22
B 168,000 43
C 78,300 19
D 24,300 55
E 58,900 42
F 238,000 39
G 30,400 16
H 374,000 72
I 41,400 32
J 96,500 58
K 292,000 17
L 67,700 37
Capital Financial Corporation will lend 90 percent against account balances that have averaged 30 days or less, 80 percent for account balances between 31 and 40 days, and 70 percent for account balances between 41 and 45 days. Customers that take over 45 days to pay their bills are not considered acceptable accounts for a loan. The current prime rate is 9.50 percent, and Capital charges 3.50 percent over prime to Charming as its annual loan rate.
a. Determine the maximum loan for which Charmin Paper Company could qualify.
b. Determine how much one month’s interest expense would be on the loan balance determined in part a.
Answer:
Charmin Paper Company
a. The maximum loan for which Charmin Paper Company could qualify is:
= $851,860
b. One month's interest expense on the loan balance determined in part a would be:
= $9,228.48
Explanation:
a) Data and Calculations:
Account Receivable Average Age of
Balance Outstanding the Account over the Last Year
A $ 60,800 22
B 168,000 43
C 78,300 19
D 24,300 55
E 58,900 42
F 238,000 39
G 30,400 16
H 374,000 72
I 41,400 32
J 96,500 58
K 292,000 17
L 67,700 37
Lending by Capital Financial Corporation:
Average age Percentage
<=30 days 90%
31-40 days 80%
41-45 days 70%
above 45 days 0%
<=30 days 90%
A $ 60,800 22
C 78,300 19
G 30,400 16
K 292,000 17
Total = $461,500 * 90% = $415,350
41-45 days 70%
B 168,000 43
E 58,900 42
Total = $226,900 * 70% = $158,830
31-40 days 80%
F 238,000 39
I 41,400 32
L 67,700 37
Total = $347,100 * 80% = $277,680
Total amount that Capital can extend = $851,860
Prime rate = 9.50%
Capital charges over prime = 3.50%
Total interest charge = 13%
Annual Interest expense = $110,742 ($851,860 * 13%)
One month's interest expense = $9,228.48 ($110,742/12)
A company's flexible budget for 12,000 units of production showed total contribution margin of $24,000 and fixed costs, $16,000. The operating income expected if the company produces and sells 15,000 units is:________
a) $34,000.
b) $10,000.
c) $18,667.
d) $8,000.
e) $14,000.
Answer:
e. $14,000
Explanation:
Operating income for 15,000 units = Proportionate contribution - Fixed cost
Operating income for 15,000 units = [($24,000/12,000)*15,000] - $16,000
Operating income for 15,000 units = $30,000 - $16,000
Operating income for 15,000 units = $14,000
So, the operating income expected if the company produces and sells 15,000 units is $14,000.
Relevant Range and Fixed and Variable Costs
Vogel Inc. manufactures memory chips for electronic toys within a relevant range of 61,600 to 100,800 memory chips per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs . . . . . . . . . $19,712 (d) (j)
Total fixed costs . . . . . . . . . . . . 22,176 (e) (k)
Total costs . . . . . . . . . . . . . . . . . $41,888 (f) (l)
Cost per unit:
Variable cost per unit . . . . . . . (a) (g) (m)
Fixed cost per unit . . . . . . . . . . (b) (h) (n)
Total cost per unit . . . . . . . . . . (c) (i) (o)
Complete the cost schedule below. When computing the cost per unit, round to two decimal places. Round all other values to the nearest dollar.
Cost Report
Components produced 61,600 79,200 100,800
Total costs:
Total variable costs $19,712 (d) $ (j) $
Total fixed costs 22,176 (e) (k)
Total costs $41,888 (f) $ (l) $
Cost per Unit
Variable cost per unit (a) $ (g) $ (m) $
Fixed cost per unit (b) (h) (n)
Total cost per unit (c) $ (i) $ (o) $
Answer:
Variable cost per unit is constant.
Total fixed cost is constant.
Explanation:
Hexon Printing Company projected the following information for next year: Selling price per unit $80 Contribution margin per unit $40 Total fixed costs $120,000 Tax rate 40% How many units must be sold to obtain an after-tax profit of $60,000
Answer:
Break-even point in units= 5,500
Explanation:
Giving the following information:
Selling price per unit $80
Contribution margin per unit $40
Total fixed costs $120,000
Tax rate 40%
Desired profit= $60,000
First, we need to calculate the earnings before tax:
EBT= desired profit / (1 - t)
EBT= 60,000 / (1 - 0.4)
EBT= $100,000
Now, the break-even point in units using the following formula:
Break-even point in units= (fixed costs + EBT)/ contribution margin per unit
Break-even point in units= (120,000 + 100,000) / (80 - 40)
Break-even point in units= 5,500
a deli sells 720 sandwiches per day at $6 each. (a) a market survey shows that for every $0.10 reduction in price, 40 more sandwiches could be sold. how much should the deli harge in order to maximize revenue
Answer:
To maximize profits, the deli should charge each sandwich at $ 3.9.
Explanation:
Given that a deli sells 720 sandwiches per day at $ 6 each, and a market survey shows that for every $ 0.10 reduction in price, 40 more sandwiches could be sold, to determine how much should the deli harge in order to maximize revenue, the following should be done calculation:
720 x 6 = 4320
760 x 5.9 = 4484
800 x 5.8 = 4640
840 x 5.7 = 4788
880 x 5.6 = 4928
920 x 5.5 = 5060
960 x 5.4 = 5184
1000 x 5.3 = 5300
1040 x 5.2 = 5408
1080 x 5.1 = 5508
1120 x 5 = 5600
1160 x 4.9 = 5684
1360 x 4.4 = 5984
1400 x 4.3 = 6020
1600 x 3.8 = 6080
1560 x 3.9 = 6084
1520 x 4 = 6080
Therefore, to maximize profits, the deli should charge each sandwich at $ 3.9.
Suppose firm X just paid its annual dividend of $2.00 per share. You expect that the firm will continue to pay $2.00 per share (per year) for the next 10 years (times t=1 through 10), after which point you expect that the annual dividend per share will grow by 12% every year thereafter (forever). If the required rate of return is 15%, what is the current price per share?
Answer:
Current price per share = $10.54
Explanation:
Note: See the attached file for the calculation of present values (PV) for year 1 to 10 dividends.
From the attached excel file, we have:
Total of dividends from year 1 to year 10 = $10.0375372517085
Year 10 dividend = $0.494369412243732
Therefore, we have:
Year 11 dividend = Year 10 dividend * (100% + Dividend growth rate after year 10) = $0.494369412243732 * (100% + 12%) = $0.55369374171298
Share price at year 10 = Year 11 dividend / (Required return rate - Dividend growth rate after year 10) = $0.55369374171298 / (15% + 12%) = $2.05071756189993
PV of share price at year 10 = Share price at year 10 / (100% + Required return rate)^Number of years = $2.05071756189993 / (100% + 15%)^10 = $0.506906017877183
Therefore, we have:
Current price per share = Total of dividends from year 1 to year 10 + PV of share price at year 10 = $10.0375372517085 + $0.506906017877183 = $10.54
TCost-908 Car Mechanic Inc. uses a job-order costing system. The company applies all of its overhead costs to jobs using a predetermined overhead rate based on direct labor-hours. At the beginning of the year, it made the following estimates: Direct labor-hours required to support estimated output 22,000 Fixed overhead cost $ 253,000 Variable overhead cost per direct labor-hour $ 1.00 During the year, a customer brought in her car for repairs. The following information was available with respect to the car's repairs: Direct materials $ 703 Direct labor cost $ 317 Direct labor-hours used 8 If TCost-908 sets its selling prices by adding a markup percentage of 40% of its total job cost, then how much would the company have charged this customer for her car's repairs?
Solution :
1. Predetermined overhead rate
Fixed [tex]\text{overhead cost}[/tex] (253,000 / 22,000) = $ 11.5
Variable [tex]\text{overhead cost}[/tex] per direct labor-hour = $ 1
Predetermined overhead rate = $12.5
2. Total job cost $
Direct materials 703
Direct labor cost 317
Applied overhead (8 hours x $12.5 per direct labor hour) = 100
Total job cost = $ 1120
3. Charges = $ 1120 x 140%
= $1568
M. Poirot wishes to sell a bond that has a face value of $1,000. The bond bears an interest rate of 11.28% with bond interest payable semiannually. Six years ago, $979 was paid for the bond. At least a 12% return (yield) on the investment is desired. The minimum selling price must be: Enter your answer as follow: 1234.56
Answer:
M. Poirot
The minimum selling price must be:
= $2,065.09.
Explanation:
a) Data and Calculations:
Face value of bond = $1,000
Interest rate = 11.28%
Interest payment = semiannually
Price of bond six years ago = $979
Desired return (yield) rate = 12%
Minimum selling price can be determined as follows:
N (# of periods) 12
I/Y (Interest per year) 12
PV (Present Value) 979
PMT (Periodic Payment) 5.64
Results
FV = $2,065.09
Sum of all periodic payments $67.68
Total Interest $1,018.41
1. The difference between contribution margin and income from operations is___.
a. net income.
b. variable costs.
c. fixed costs.
d. one of these choices are correct.
2. A company's operating leverage is computed as:____.
a. contribution margin divided by income from operations.
b. profit margin divided by net income.
c. revenue divided by expenses.
d. none of these choices are correct.
3. The __________ is the relative distribution of sales among the products sold by a company.
a. sales mix.
b. mixed cost.
c. product mix.
d. none of these choices are correct.
4. The unit selling price of the overall enterprise product equals the____.
a. average selling price of the products.
b. price of the highest-selling product in the mix.
c. sum of the unit selling prices of each product multiplied by its sales mix percentage.
d. price of the product with the lowest selling price.
Answer:
1. The difference between contribution margin and income from operations is fixed costs. income from operations = Contribution margin - Fixed expenses. So therefore, the difference between contribution margin and income from operations is known as fixed costs.
2. A company's operating leverage is computed as contribution margin divided by income from operations. Degree of Operating Leverage = Contribution Margin / Net Operating Income
3. The sales mix is the relative distribution of sales among the products sold by a company.
4. The unit selling price of the overall enterprise product equals the sum of the unit selling prices of each product multiplied by its sales mix percentage.
Suppose ABCD's stock price is currently $50. In the next six months, it will either fall to $40 or rise 8 to $60. What is the current value of a six-month call option with an exercise price of $50? The six- month risk-free interest rate is 2% (periodic rate).
A. $5.39
B. $15.00
C. $8.25
D. $8.09
If a consumer is always indifferent between an additional one grapefruit or an additional two oranges, then when oranges are on the horizontal axis the indifference curves: Group of answer choices will be straight lines with a slope of 1/2. will be straight lines with a slope of -1. will be right angles whose corners occur on a ray from the origin with a slope of 2. none of these options is correct. will be straight lines with a slope of -1/2.
Answer: will be straight lines with a slope of -1/2.
Explanation:
An indifference curve simply means the combination of two goods that can give a consumer equal satisfaction, and this makes the consumer indifferent.
It should be noted that along the curve, the consumer will have an equal preference which is for the combinations of the goods that are shown.
If a consumer is always indifferent between an additional one grapefruit or an additional two oranges, then when oranges are on the horizontal axis, then the indifference curves will be straight lines with a slope of -1/2. Here, the fact that the slope is negative
is due to the fact that the curve is downward sloping.