Question 1) Fixed costs of a competitive firm is cER* and the short-run supply function of the firm is given by: P-6 q, P € R*; a,b eR 2a a). Derive the total cost function of this firm. b) marginal cost, average costs and, average variable cost curves of the firm for q € (2, 12). Suppose that a = 2, 6 = 10 and, c = 162. Derive and plot Suppose that a = 2, b = 10, c = 162 and, the market price of the good is $50. What is the profit-maximizing level of production, q*? Calculate and plot the profit of the firm when it maximizes the profit.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question 1)
short-run supply function of the firm is given by:
Fixed costs of a competitive firm is ce Rt and the
P- b
q, PE R*; a,b€ R
2a
a).
Derive the total cost function of this firm.
b)
Suppose that a = 2, b = 10 and, c = 162. Derive and plot
marginal cost, average costs and, average variable cost curves of the firm
for q € (2, 12).
Suppose that a = 2, b = 10, c = 162 and, the market price of
the good is $50. What is the profit-maximizing level of production, q*?
Calculate and plot the profit of the firm when it maximizes the profit.
d)
Suppose that a = 2, 6= 10, c 162 and, the market price of
the good is $20. What is the profit-maximizing level of production, q*?
Comment on the following:
• Should the firm produce in the short-run?
Should the firm produce in the long-run?|
Transcribed Image Text:Question 1) short-run supply function of the firm is given by: Fixed costs of a competitive firm is ce Rt and the P- b q, PE R*; a,b€ R 2a a). Derive the total cost function of this firm. b) Suppose that a = 2, b = 10 and, c = 162. Derive and plot marginal cost, average costs and, average variable cost curves of the firm for q € (2, 12). Suppose that a = 2, b = 10, c = 162 and, the market price of the good is $50. What is the profit-maximizing level of production, q*? Calculate and plot the profit of the firm when it maximizes the profit. d) Suppose that a = 2, 6= 10, c 162 and, the market price of the good is $20. What is the profit-maximizing level of production, q*? Comment on the following: • Should the firm produce in the short-run? Should the firm produce in the long-run?|
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