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Exercise 5: Costs of perfectly competitive firms (5 points) A profit-maximizing

ID: 1138761 • Letter: E

Question

Exercise 5: Costs of perfectly competitive firms (5 points) A profit-maximizing kale producer in a competitive market is currently producing 7,000 tons of kale. The firm faces a market price of S130/ton, average total cost of S100, and fixed costs of S15,000. 1. What is the firm's profit? 2. What is its average variable cost? 3. What is its marginal cost? 4. Is the efficient scale of the firm more than, less than, or exactly 7,000 tons? 1The lowest point where the plant (or firm) can produce such that its long run average costs are minimized

Explanation / Answer

Quantity produced= 7000 tons

Price=$130/ton

Average total cost = $100

Fixed cost = $15000

1) Profit = Total revenue- Total cost-

Total revenue= PxQ = 130 x7000 = 910000

Total cost = Average total cost x Quantity

=100 x 7000

=$700,000

Profit = 910,000-700,000

Profit = $210,000

B) Total Variable cost= Total cost- Fixed cost

= $700,000- $15,000

= $ 685000

Average variable cost = Total variable cost/ quantity

$685000/7000 = $97.8

C) Marginal cost = Cost at Q=7000 - Cost at Q=6999

= 100*7000-100*6999

=100

D) At price = average total cost

Firms earn zero profit. So the quantity should always be mora than tha quantity at this point.

Since at 7000 units level firm is earning some profit. The efficient level of production is below 7000.

D)