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grigory [225]
3 years ago
12

Consider the following production function: q = 7LK + 5L^2 - (1/3) L^3. Given the following expressions for the marginal product

ivity of each input: MP_L = 7K + 10L - L^2 and MP_K = 7L Assuming capital is plotted on the vertical axis and labor is plotted on the horizontal axis, determine the value of the marginal rate of technical substitution when K = 30 and L = 15. (Round your answer up to two decimal places and include the proper sign.)
Business
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

The  value of the marginal rate of technical substitution when K = 30 and L = 15 is 1.285

Explanation:

MRTS_KL = MP_L/MP_K

                 = (7K + 10L - L^2)/7L

                 = (7*30 + 10*15 - (15)^2)/7*15

                 = 1.285

Therefore, The  value of the marginal rate of technical substitution when K = 30 and L = 15 is 1.285

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Answer:

$0.1  

Explanation:

The per unit cost of a production is the sum of variable cost and fixed cost divided by the total number of units produced. The per unit cost is given by the formula:

Per unit cost = (Variable cost + Fixed cost) / Number of units produced

Variable cost = Cost of raw material = Units of raw material × Cost of each unit of raw material = 5 units × $4/unit = $20

Fixed cost = Cost of labor + Capital =(Units of capital × Cost of each unit of capital) + (Units of labor × Cost of each unit of labor)  = (8 units × $3/unit) + (2 units × $10/unit) = $24 + $20 = $44

Variable cost + Fixed cost = $20 + $44 = $64

Per-unit cost of production = (Variable cost + Fixed cost) / Total output = $64 / 640 = $0.1  

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The Journal entries are as follows:

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3 years ago
f a business has fixed costs of $1k a month, variable costs of $1k a month and has product sales of $2k a month, what statement
PSYCHO15rus [73]

Answer:

The correct option is b. The business is realizing $0 profit and the business is at break-even point.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

If a business has fixed costs of $1k a month, variable costs of $1k a month and has product sales of $2k a month, what statement is a correct analysis of the situation?

a. The business is realizing $2k profit and the business is at break-even point

b. The business is realizing $0 profit and the business is at break-even point

c. The business is realizing $2k loss and the business is at break-even point

d. The business is realizing $2k profit

The explanation of the answer is now provided as follows:

Total cost = Fixed cost + Variable cost = $1K + $1K = $2k

Total revenue = Product sales = $2k

Profit = Total revenue - Total cost = $2k - $2k = $0

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Therefore, the correct option is b. The business is realizing $0 profit and the business is at break-even point.

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