Suppose the firm faces a demand curve for its product P=32-2Q, and the firm's costs of production and marketing are C(Q)=2Q^2. Find the following; a. The formula for profit piein terms of Q b. The first order condition(FOC) and the second order condition(SOC) for maximum total revenue c. The price and quantity that maximizes total revenue, and the corresponding value of the total revenue. d.The FOC and SOC for maximum profit

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter23: Profit Maximization
Section: Chapter Questions
Problem 11E
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Suppose the firm faces a demand curve for its product P=32-2Q, and the firm's costs of production and marketing are C(Q)=2Q^2. Find the following;

a. The formula for profit piein terms of Q

b. The first order condition(FOC) and the second order condition(SOC) for maximum total revenue

c. The price and quantity that maximizes total revenue, and the corresponding value of the total revenue.

d.The FOC and SOC for maximum profit

e.  The price and quantity that maximize profit and the corresponding value of profit.

f. What would the competitive price and quantity be, assuming C(Q)=2Q^2 represented the industry cost function

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