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The production and cost function of a perfectly competitive firm that produces good x in a perfect competition market structure in the short-run are shown

The production and cost function of a perfectly competitive firm that produces good x in a perfect competition market structure in the short-run are shown below.

K L TP or Q TC ATC MC
7.75 7 321 225 75/107 -
7.75 8 329 235 5/7 1.25
7.75 9 332 245 245/332 10/3
7.75 10 333 255 255/331 10

PK=20, PL=10

a. What is the output profit-maximizing level of the firm in the short-run, if the market price of good x is 3.33? In no more than three sentences, explain why.

b. How much is the maximum (economic) profit that the firm can earn in the short-run?

c. In the long run, how much economic profit does the firm earn? Why?

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