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MakcuM [25]
2 years ago
7

Christopher likes cupcakes (C) and muffins (M). His preferences can be represented by the utility function U(C, M) = C0.5M0.5. H

e received a gift basket with 16 cupcakes and 4 muffins, but when he was about to eat them, he found out his younger brother Dan had eaten 14 cupcakes and 2 muffins. Christopher made Dan buy what he'd eaten back. However, the bakery was out of muffins and Dan only bought cupcakes. How many cupcakes did Dan buy if, in addition to what he had not eaten from the basket, the new cupcakes provide Christopher with the same level of utility as the original gift basket?
Business
1 answer:
Tatiana [17]2 years ago
8 0

Answer:

16 cupcakes

Explanation:

U(C, M) = C⁰°⁵ x M⁰°⁵ = √C x √M

total utility obtained by eating 16 cupcakes and 4 muffins = √16 x √4 = 4 + 2 = 6

since the bakery is out of muffins, then utility function = √C x √2 = √C x 1.4142

√C x 1.4142 = 6

√C = 6 / 1.4142 = 4.2426

C = 4.2426² = 18

since there were 2 cupcakes left, Christopher must purchase 18 - 2 = 16 cupcakes

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2 years ago
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $120,000 or $300,000 with equal
Ivanshal [37]

Answer:

a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?

the expected value of our portfolio = ($120,000 x 50%) + ($300,000 x 50%) = $210,000

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b. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be?

13%, it should be equal to the discount rate

c. Now suppose you require a risk premium of 15%. What is the price you will be willing to pay now?

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discount rate = 5% + 15% = 20%

d. Comparing your answers to (a) and (c), what do you conclude about the relationship between the required risk premium on a portfolio and the price at which the portfolio will sell?

the higher the risk premium, the lower the market price of the portfolio

4 0
2 years ago
Renewable Energies, Inc. (REI) paid $100,000 to purchase a windmill. The windmill was expected to have an 8 year useful life and
shtirl [24]

Answer:

The amount of depreciation on the year 5 income statement would be $4000

Explanation:

The following data were provided;

Cost of the asset = $100,000

Salvage value = $20,000

Estimated useful life= 8 years

Depreciation method = straight-line method.

Solve;

Annual depreciation expense = (cost of the asset - salvage value) ÷ useful life

= ($100,000 - $20,000) ÷ 8 = $10,000

Therefore, depreciation accumulated for the first four years = $10,000 × 4 = $40,000

At the end of year 4,

The book value of the asset = cost of the asset - accumulated depreciation

= $100,000 - $40,000 = $60,000

The revised estimated life of the asset = 14 years.

The remaining years left starting from the year 5,

= 14- 4 = 10 years

Revised annual depreciation expense

= ($60,000 book value - salvage value) ÷ useful life

= ($60,000 - $20,000) ÷ 10

= $4,000

Therefore, the amount of depreciation on the year 5 income statement would be $4000

3 0
2 years ago
Read 2 more answers
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eimsori [14]

Answer:

$114.65

Explanation:

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3 0
2 years ago
Suppose that for a particular firm the only variable input into the production process is labor and that output equals zero when
Lera25 [3.4K]

Answer:

Total variable cost if 4 units were produced

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Average fixed cost = $40/10 units

Average fixed cost = $4

The correct answer is B

Explanation:

In this case, we need to calculate the total variable cost on the ground that 4 units were produced. Then, we will determine the total fixed cost by deducting the total variable cost from total cost. Finally, we will divide the total fixed cost by 10 units in order to obtain the average fixed cost.

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