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1. (3 questions) A firm in a perfectly competitive industry has the following total cost
function:
TC = 8,000 + 300Q − 25Q2 + Q3
The market demand and supply functions are respectively given by
QD = −600P + 460,000
QS = 700P −60,000
a. Determine the market equilibrium price and quantity.
b. Determine the profit-maximizing output level for the firm.
c. Suppose there was a decrease in demand and the demand function became
QD = −600P + 120,000
Should the firm produce at the new equilibrium price in the short run? Or shut
down? Why?
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