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Anarel [89]
2 years 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]2 years 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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A company must decide on the type on equipment to buy in order to manufacture a new product line. The company can purchase an al
Oliga [24]

Answer:

The indifference point is 3,000 units

Explanation:

Giving the following information:

All-purpose machine:

Fixed costs= $20,000 per year

Unitary variable cost= $40

Special-purpose machine:

Fixed costs= $50,000 per year

UNitary variable cost= $30

We need to determine the unit's production point where the two machines are indifferent. First, we need to structure the total cost formulas:

All-purpose= 20,000 + 40x

Special-purpose= 50,000 + 30x

x= number of units

Now, we equal them:

20,000 + 40x = 50,000 + 30x

10x = 30,000

x= 3,000

The indifference point is 3,000 units

<u>Prove:</u>

All-purpose= 20,000 + 40*3,000= $140,000

Special-purpose= 50,000 + 30*3,000= $140,000

3 0
2 years ago
Identify which department has stewardship over the following journals, ledgers, and files.
fredd [130]

Answer:

a. Customer open order file ⇒ SALES ORDER DEPARTMENT

This department deals with customer orders so they open the customer open order file.

b. Sales journal ⇒ BILLING DEPARTMENT.

In order the know how much to bill customers, this department does the sales journal.

c. Journal voucher file ⇒ BILLING DEPARTMENT

Journal voucher file is derived from the sales journal so it also falls under the billing department.

d. Cash receipts journal ⇒ CASH RECEIPTS DEPARTMENT

Cash receipts department are in charge of cash transactions that involve receipts so they are in charge of making the relevant journal.

e. Inventory subsidiary ledger ⇒ INVENTORY CONTROL DEPARTMENT

f. Accounts receivable subsidiary ledger ⇒ ACCOUNT RECEIVABLE DEPARTMENT

As the department in charge of transactions related to the Account receivables, this department is in charge of the ledger that records these receivables.

g. Sales history file ⇒ SALES DEPARTMENT

h. Shipping report file ⇒ SHIPPING DEPARTMENT

The shipping report file shows details of goods shipped to customers and so this falls under the responsibility of the shipping department.

i. Credit memo file ⇒ CREDIT DEPARTMENT

j. Sales order file ⇒ SALES DEPARTMENT

k. Closed sales order file ⇒ SALES DEPARTMENT

The sales department is in charge of these last two because everything that has to do with sales falls under the Sales department except for when the sale is first ordered.

8 0
2 years ago
The ways in which organizations use the system to provide information for day-to-day decisions about salary, benefits, and recog
Cerrena [4.2K]

Answer:

C

Explanation:

Performance management strategy goal or purpose is to provide a system through which better results can be obtained from the organization, teams, and individuals by having an understanding of how to manage performance within an agreed framework of planned goals, standards, and competence requirements.

It also aims aims at building a high performance environment for both the individuals and the teams so that they jointly take the responsibility of improving the business systems on a continuous basis and at the same time upgrading their own skills within a leadership framework. Its purpose is to enable goal clarity to makeď people do the right things in the right time. The main objective of a performance management system is to achieve the capacity of the employees to the full potential in favor of both the employee and the organization, by making a clear distinction of roles, responsibilities and accountabilities, required competencies and the expected behavior

6 0
2 years ago
Scenario: carl has just received his weekly check from his after-school job. in his budget, he did not plan for withholdings. no
ira [324]
The answer is c, a lower net income
3 0
2 years ago
Read 2 more answers
The Nantell Corporation just purchased an expensive piece of equipment. Assume that the firm planned to depreciate the equipment
gtnhenbr [62]

Answer:

D

Explanation:

Nantell's operating income (EBIT) will increase., because now the company will record lower depreciation expense in the income statement due to increase in the life from 5 to 7 taken for the depreciation purposes. So decline in depreciation will result in higher EBIT.

a. is wrong as lower depreciation means higher net income.

b. is wrong as tax liability will not get impacted as tax will follows old method of depreciation.

c. is incorrect as depreciation is non cash expense thus does not impact cash position and tax has already be on the earlier method.

e. is incorrect as increase in EBIT will result in higher taxable income.

hence option D is the only correct option

4 0
2 years ago
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