In: Economics
The market for apple is perfectly competitive, with the short-run market supply curve given by Q = 100 + 2P and the short-run market demand curve given by Q = 400 – 4P. A certain firm in this industry has a short-run marginal cost of production of MC = 5q, where q is the number of units of wheat produced by the firm.
a. (5 points) Plot the short-run market-level demand and supply curves and firm-level demand and supply curve. Q q
b. (5 points) If it is optimal for the firm to produce a positive amount of output in the short run, how much should it produce?
c. (5 points) Suppose that the firm has $120 in fixed costs, and its variable cost when producing q units of apple is given by VC = 40q. What is the firm’s profit if it produces the amount of output you found in part (a)? In the short run, should the firm produce this amount or shut down (produce q = 0)?
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Market Supply Function = 100 + 2P
Market Demand Function = 400 - 4P
short-run MC of firm = 5q
a) Plot Market Supply and Demand Curve
Plot firm Demand and Supply Curve
In equilibrium
Market Demand = Market Supply
400 - 4P = 100 + 2p
400 - 100 = 2P + 4P
300 = 6P
P = 300/6 = 50
Quantity = 100 + 2P = 100 + 2(50) = 200
in equlibrium
Price = 50
Quantity = 200
in case of a firm equilibrium where Price equal to Marginal cost
price = 50
Marginal cost = 5q
5q = 50
q = 50/5 = 10
Profit Maximization
profit = total revenue - total cost
total revenue = Price* quantity = 50*10 = 500
total cost = total fixed cost + total variable cost = 120 + 40q = 120 + 40(10) = 120 + 400 = 520
profit = 500 - 520 = -20
there is loss of -20
firm should continue because its cover variable cost it is not shut down