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A firm has demand function of P=100-Q ($) and total cost function of TC=500+ 4Q+Q 2 ($). a. Is this firm a perfect competitive firm?

A firm has demand function of P=100-Q ($) and total cost function of TC=500+ 4Q+Q2 ($).

a. Is this firm a perfect competitive firm? Why?

b. What is price and quantity to maximize total revenue ? What is that maximum total revenue ? c. What is price and optimal quantity to maximize profit? What is that maximum total profit ?

d. Asume government imposes a tax of 8 $ per unit of good sold, what is price and optimal quantity that gives the firm maximum profit? What is this maximum profit?

e. Asume government imposes a fixed tax of 100 $, what is price and optimal quantity that gives the firm maximum profit?

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