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RSB [31]
2 years ago
10

Consider a firm which produces T-shirts according to Q = L^0.5, where Q denotes output and L is labor input. The domestic wage i

s w = 2. The firm can sell its output for a given price of p = 1.
(a) Determine the profit-maximizing labor input and the profit of the firm.
Business
1 answer:
Luden [163]2 years ago
4 0

From the calculation below, the profit-maximizing labor input is 0.0625, and the profit of the firm is 0.125.

<h3>How do we determine profit-maximizing labor input and profit?</h3>

From the question, we can obtain:

R = Revenue = Q*P = L^0.5 * 1 = L^0.5

C = Cost = w * L = 2L

P = Profit = R - C = L^0.5 - 2L

To obtain the profit-maximizing labor input, the first derivative of P is taken, equated to zero, and we solve for L as follows:

P' = 0.5L^-0.5 - 2 = 0

0.5L^-0.5 = 2

L^-0.5 = 2 / 0.5

L^-0.5 = 4

L^(-0.5/-0.5) = 4^(-1/0.5)

L = 0.0625 ----> profit-maximizing labor input

The profit (P) of the firm can now be calculated by substituting L = 0.0625 into the P function as follows:

P =  0.0625^0.5 - (2 * 0.0625) = 0.125 --------> Profit of the firm

Learn more about profit function here: brainly.com/question/16866047.

#SPJ1

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<h3>what is a personal loan?</h3>

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4 0
3 years ago
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Frank, the owner of a local furniture store that has been in business for 75 years, is retiring. He is selling his store to a ne
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Explanation:

Frank is in the furniture business for so long. Now he is retiring, and he wants his business to be persuaded successfully in the future as well. He is selling his store to people who have no roots in the community. He wants to share the secret of his success to the new owner.

So to make the new owner understand the secret of success, Frank should share the culture of the company by telling the new owner, stories, rites and rituals of the company which made his business successful.

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5 0
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An OSHA compliance inspector arrives at a meat processing unit and presents his credentials to the unit manager. The manager, ho
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Answer:

The compliance officers is to provide an inspection warrant before entering the work site.

Explanation:

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3 years ago
An investor that owns between ___ and ___ percent of the voting stock of an investee is assumed to have significant influence ov
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According to the number of shares it owns in the investee company, the investor records the investee's earnings in its accounts.

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4 0
2 years ago
During the period, Sanchez Company sold some excess equipment at a loss. The following information was collected from the compan
Mice21 [21]

Answer:

Part 1

Cost of Equipment Sold = $9300

Accumulated Depreciation of Equipment Sold = $ 1100

Cash received from Sale = $5300

Part 2

<em>Net Cash Flows from Operating Activities</em>

Add Back (Positive) to Operating Profit for the year : Loss on sale of equipment $ 2900

Part 3

<em>Net Cash flows from Investing Activities</em>

Add (Positive) Proceeds from Sale of Equipment $ 5300

Explanation:

Part 1

<em>Cost of Equipment Sold:</em>

The figure is obtained from Equipment At Cost Account.

Open the Account as follows:

Beginning Balance $ 20300 (debit), Ending Equipment $ 11000, Balancing figure $ 9300 (20300-11000) is the cost of equipment sold.

<em>Accumulated Depreciation of Equipment Sold</em>

The figure is obtained from Accumulated Depreciation.

Open the Account as follows:

Beginning Balance $ 1980 (credit), Profit and loss - Depreciation $ 870 (credit), Ending Balance $ 1750 (debit), Balancing figure $ 1100 (1980+870-1750) is the Accumulated Depreciation on Equipment Sold

<em>Cash Received on Sale</em>

This figure is figure is obtained from Equipment Disposal Account.

Open the Account as follows:

Cost of Equipment Sold $ 9300 (debit), Accumulated depreciation on equipment sold $1100(credit),Loss on Sale of Equipment $2900(credit),the Balancing figure $5300 (9300-1100-2900)

Part 2

Loss on sale of Equipment is the only Income Statement Item affecting the Operating Activity of the Cash Flow Statement.

Add back to Operating profit since this is a non-cash item and was initially deducted in the calculation of Operating Profit.

Part 3

Sale of Equipment results in Cash Inflow and affects the Cash Flows from Investing Activities Section of Cash Flow Statement.

Hence a positive amount should be added to reflect this inflow.

4 0
3 years ago
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