3. The demand and total cost functions of a good are respectively 4P+Q-16 =0 and 3Q, Q' TC = 4 + 2Q - + 10 20 a) Find expressions for TR, (profit) a , MR, and MC in terms of Q. b) Solve the equation dQ and hence determine the value of Q which maximizes profit. c) Verify that, at the point of maximum profit, MR=MC.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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3. The demand and total cost functions of a good are
respectively 4P+Q-16 =0 and
3Q Q
TC = 4+ 2Q-
10
20
a) Find expressions for TR, (profit) T , MR, and MC in
terms of Q.
b) Solve the equation
= 0
dQ
and hence determine the value of Q which maximizes
profit.
c) Verify that, at the point of maximum profit, MR=MC.
Transcribed Image Text:3. The demand and total cost functions of a good are respectively 4P+Q-16 =0 and 3Q Q TC = 4+ 2Q- 10 20 a) Find expressions for TR, (profit) T , MR, and MC in terms of Q. b) Solve the equation = 0 dQ and hence determine the value of Q which maximizes profit. c) Verify that, at the point of maximum profit, MR=MC.
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