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Homework answers / question archive / Consider a firm with the following costs of production: Cost of production Units of output produced 0 1 2 3 4 5 Total Cost $0 $12 $24 $36 $48 $60 $72 $84 $96 $108 $120 $132 $144 6 7 8 9 10 11 12 Part 1: If the firm is a profit-maximizing firm in a competitive market, the firm can break even if the market price equals $ per unit

Consider a firm with the following costs of production: Cost of production Units of output produced 0 1 2 3 4 5 Total Cost $0 $12 $24 $36 $48 $60 $72 $84 $96 $108 $120 $132 $144 6 7 8 9 10 11 12 Part 1: If the firm is a profit-maximizing firm in a competitive market, the firm can break even if the market price equals $ per unit

Economics

Consider a firm with the following costs of production: Cost of production Units of output produced 0 1 2 3 4 5 Total Cost $0 $12 $24 $36 $48 $60 $72 $84 $96 $108 $120 $132 $144 6 7 8 9 10 11 12 Part 1: If the firm is a profit-maximizing firm in a competitive market, the firm can break even if the market price equals $ per unit. Hint: "the firm can break even" means that the firm's total revenue equals the firm's total cost, or QxP=QxAC(where Q is the quantity, P is the price, and AC is the average cost). Part 2: Suppose that the market price equals $11 per unit. The firm should: A. produce some output. The firm will cover the variable cost and some of the fixed cost, so it will lose money (it will earn less than zero profits). B. produce some output. The firm will cover the variable cost exactly, but none of the fixed cost, so it will lose money (it will earn less than zero profits). C. not produce any output. The firm will experience a loss (it will earn less than zero profits). D. not produce any output. The firm will not experience a loss (it will earn exactly zero profits). Please fill your answer in the blank area below.

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Part 1:

Answer: 12

The firm should breakeven at a price that is equal to the minimum of AC.

AC = TC/Units

This is a constant cost industry, since AC at any unit is equal. Suppose for 5 units, AC = 60/5 = 12; at 11 units, AC = 132/11 = 12; at 8 units, AC = 96/8 = 12.

Therefore, the minimum AC is $12. The market price would be $12 per unit.

 

Part 2:

Answer: C

The firm should not produce any output, since $11 price is smaller than $12 AC, indicating the fact that there is a loss and the situation cannot be improved in the long-run either.

There is no fixed cost, because at 0 units of production the TC is also 0. Hence, all the TCs are variable cost that needs to be covered by the price in the short-run. This is not happening here. Therefore, the firm should shutdown.