In: Economics
The market for candy is perfectly competitive, and the current market price of candy is $10. A particular firm has a short-run marginal cost of production of MC = 0.2q, where q is the number of bicycles produced by the firm.
a. If it is optimal for the firm to produce a positive amount of output in the short run, how much should it produce?
b. Suppose that the firm has fixed costs of $30, and its average variable cost when producing q candies is given by AVC = 0.1q (so, e.g., when q = 10 the firm has AVC = 1). Should the firm produce the amount that you found in part (a) or shut down (produce q = 0)?
c. Suppose instead that the firm has fixed costs of $50, and its variable cost when producing the number of candies found in part (a) is $200. What is the firm’s profit if it produces this amount of output? If this is a constant-cost industry and the demand curve does not change over time, will firms enter or exit this market in the long run?
SOLUTION:-
a) For perfectly firm at equilibrium P (price) = MC occur. So,
10 = 0.2q
q = 10 / 0.2 = 50
Therefore, here the firm should produce 50 units of output.
b) The firm's short run shutdown price is that price is that price which is equal to AVC.
Firm's AVC = 0.1q = 0.1* 50 = $5.
Here the price level is $10.
As here the market price level is higher than the firm's AVC hence the firm should produce 50 units of output level.
c) At 50 units of output level
Total cost = Fixed cost + Variable cost = 50 + 200 = $250.
Total revenue = price Quantity = 10 50 = $500.
Profit = Total revenue - Total cost = 500 - 250 = $250.
So,if the firm produce 50 units of output level then the firm's profit is $250.
If this insudtry has constant cost level and demand curve does not change then in long-run new firms will enter into the market. Because here in short-run the firm earns economic profit.
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