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Anarel [89]
3 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]3 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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Nautical has two classes of stock authorized: $10 par preferred, and $1 par value common. As of the beginning of 2015, 125 share
melamori03 [73]

Answer:

<h2>Nautical</h2>

1. Journal Entries:

March 1:

Debit Cash Account $35,100

Credit Common Stock $35,100

To record the issue of 2,700 shares of common stock for $13 per share.

April 1:

Debit Cash Account $6,475

Credit Preferred STock $6,475

To record the issue of 175 shares of preferred stock for $37 per share.

June 1:

Debit Dividends $2,280

Credit Dividends Payable $2,280

To record dividends of $0.40 per share to all stockholders of record.

June 30:

Debit Dividends Payable $2,280

Credit Cash Account $2,280

To record the payment of cash dividends.

August 1:

Debit Treasury Stock $1,750

Credit Cash Account $1,750

To record the repurchase of 175 shares of common stock for $10 per share.

October 1:

Debit Cash Account $1,500

Credit Treasury Stock Account $1,500

To record the reissue of 125 shares of treasury stock for $12 per share.

2. Selection of  whether each of these transactions would increase (+), decrease (?), on total assets, total liabilities, and total stockholders' equity:

                                        Transaction   Assets   Liabilities    Stockholders

                                            Total          Total          Total              Equity

Issue common stock         $35,100       +$35,100                    +$35,000

Issue preferred stock         $6,475        +$6,475                       +$6,475

Declare cash dividends      $2,280                        +$2,280      ?$2,280      

Pay cash dividends             $2,280       ?$2,280   ?$2,280

Repurchase treasury stock  $1,750       ?$1,750                        ?$1,750

Reissue treasury stock       $1,500       +$1,500                        +$1,500

Explanation:

a) Data and Calculations:

Authorized share capital:

$10 par preferred

$1 par value common

Issued, beginning of 2015:

Preferred = 125 shares

Common = 2,700 shares

b) The issue of 2,700 additional shares of common stock for $13 per share totalled $35,100.  This amount is credited to the Common Stock and the receipt of cash debited to the Cash Account.  The same is applicable with respect to the 175 additional shares issued at $37 per share.

c) When a cash dividend is declared, the stockholders of record on the record date of June 15 are noted, since they are the only ones that will participate in the dividends.  The accounting records are debit to the dividend account and a credit to the Dividends Payable account, establishing the liability.  The payment for the declared dividend is recorded with a debit to the Dividends Payable account to close the liability and a credit to the Cash Account.

d) Treasury stock is a stock of common stock repurchased by the company.  The issue and reissue of treasury stock are treated in the treasury stock account if the costing method is used, otherwise, the par-value method would be operational.

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Answer:

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Explanation:

Performance obligations are those that the entity undertakes to carry out in the contract established with a client, performance obligations are related to the deliverables established or agreed upon in a contractual manner.

At the start of the contract, the entity must evaluate the goods or services promised in a contract with a customer and must consider as a performance obligation each commitment to transfer to the customer a good or service (or a group of different goods and services) or a series of different goods or services that are substantially the same and that have the same pattern of transfer to the client.

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musickatia [10]

Answer and Explanation:

The preparation of the operating activities section is presented below

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Adjustment made for non cash items:                  

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Add: Decrease in Account Receivable $15000 ($70,000 - $85,000)

Less: Increase in Inventory   $(5000) ($40,000 - $35,000)

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3 years ago
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Rzqust [24]

Answer:

E. $7,190

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

For project A,

Cash flow in year 0 = $-14,500

Cash flow in year 1 = $9,500

Cash flow in year 2 = $9,500

Cash flow in year 3 = $9,500

I = 15%

NPV = $7190.64

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

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