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Anarel [89]
1 year ago
6

Tim spends his income on donuts (D) and coffee (C). Coffee is $2 per cup and donuts are $1 each. Assume that Tim has $10 to spen

d, and his utility function is given by ????(D,C)=D0.5C0.5 . For this utility function, ????????D=0.5D−0.5C0.5 and ????????C=0.5D0.5C−0.5 . a. Calculate the optimal number of donuts and coffee for Tim to purchase. Assume that he can purchase partial donuts or cups of coffee. Round answers to two places after the decimal where necessary.
Business
1 answer:
stealth61 [152]1 year ago
7 0

Answer:

Optimal number of donuts = 5 Donuts

Optimal cups of coffee = 2.5 cups.

Explanation:

Optimal numbers of donuts and coffee can be calculated as follow

First, we need to determine the budget constraint as below

M = ( P(D) x D ) + ( P(C) x C )

Placig values in the formula

10 = D + 2C

Now make utility function as:

U(D,C) = D0.5 C0.5

Marginal Utility donuts

MU(D) = 0.5D-0.5C0.5

Marginal Utility Coffee

MU(C) = 0.5D0.5C-0.5

The formula for marginal rate of substitution

(MRSD,C)= MU(D) / MU(C)  = 0.5D - 0.5C0.5 / 0.5D0.5C - 0.5  = C/D

Now calculate the optimal consumption level  

MRSD,C = P(D) / P(C)

C/D = 1/2

D = 2C (Equation 1 )

Placing the value of D resulted from equation 1, in the budget constraint we as below

10 = D + 2C

10 = 2C + 2C

10 = 4C

C = 10/4 = 2.5

NOw place the value of C in equation 1

D = 2C = 2(2.5) = 5

Optimal number of donuts = 5 Donuts

Optimal cups of coffee = 2.5 cups.

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Jobisdone [24]

Answer:

The correct answer is letter "B": importer.

Explanation:

Importing implies the act of buying goods from foreign countries to use them or resell them domestically. Imports take place when those goods are typically rare or scarce in the country where the goods are going to be used. Most imports include <em>technological products, raw materials, </em>and <em>clothing</em>.

4 0
1 year ago
Shannon signs a contract with tevin, an unlicensed contractor, to build a deck and gazebo at the rear of her house. this contrac
Bingel [31]

The answer is noone.

8 0
1 year ago
This is section 3.8 problem 30: a motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are
inna [77]

Answer:

see explanations

Explanation:

First, for 80 room charged at $60 per room ,all rooms are occupied

Let the demand function, expressed by p , the price in dollars charged for each room per day, as a function of x as,

p(x)=$60x ------------where x in the number of rooms

When the price per room is increased by $3, the demand function will be;

p(x)=$63x

Maintenance per room after price increase will be;

p(x)=$16x

This means: $63x -$60x=$16x

3*80 p(x)=16*80

p(x)=(16*80)/(3*80) =5.33

Due to price increase the number of rooms occupied reduced by 5 rooms to 75 rooms. Because of unoccupied rooms bringing no revenue the maintenance cost increased. The demand for room decreased.

6 0
1 year ago
Trevor always begins the day with a strawberry milkshake (milk (x1 ) and strawberries(x2) mixed in proportion 1:5). His income i
jenyasd209 [6]

Answer:

Check the explanation

Explanation:

Going by the question that the proportion of milk and strawberry for milk shake is 1:5.

If amount of milk is to be X1 that means the quantity of strawberry (X2) will be 5×X1, i.e., X2=5X1... Equation 1

And in addition, the milk and strawberry are complementary consumables as strawberry is of no use without milk and vice versa.

Budget equation will be as follows:

P1×X1+P2×5X1=M.... Equation 2

Given M=200, P1=15 & P2=1

Putting values in Equation 2

15×X1+1×5X1=200

X1=10 & X2=50(from equation 1)

Answer a)

With change in P1 from 15 to 5

Again putting values in Equation 2

5×X1+1×5X1=200

X1=20 & X2=100.

The total change in the demand of milk will increase from 10 units to 20 units.

Answer b)

Strawberry and milk are complementary goods here for that reason there would be no effect on substitution.

Answer c)

Since there will be no effect on substitution, total effect will be equal to income effect.

7 0
1 year ago
Turnbull Corp. is in the process of constructing a new plant at a cost of $30 million. It expects the project to generate cash f
Sergio039 [100]

Answer:

$14 mil.

Explanation:

Net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be calculated using a financial calculator:

Cash flow in year 0 = $-30 million

Cash flow in year 1 = $13,000,000

Cash flow in year 2 = $23,000,000

Cash flow in year 3 = 29,000,000 

I = 20%

NPV = $13,587,630

To find the NPV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you

3 0
1 year ago
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