Suppose a firm faces a demand curve for its product P=a-bQ, and the firm's cost of production and marketing are c(Q)=cQ+d, where P is price, Q is quantity and a,b,c and d are positive constants. find the following; a) The formula for profit 9(pie) in terms of Q b)The first order condition for maximum profit c)the second order condition for maximum profit

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
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Suppose a firm faces a demand curve for its product P=a-bQ, and the firm's cost of production and marketing are c(Q)=cQ+d, where P is price, Q is quantity and a,b,c and d are positive constants.

find the following;

a) The formula for profit 9(pie) in terms of Q

b)The first order condition for maximum profit

c)the second order condition for maximum profit

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