A two - product firm faces the following demand and cost functions: Q1 = 40 - 2P1 - P2 Q2 = 35 - P1 - P2 C = Q 2/1 + 2Q 2/2 + 10 (a) find the output levels that satisfy the first order condition for maximum profit. (use fractions) (b) check the second - order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum? (c) What is the maximal profit?
A two - product firm faces the following demand and cost functions: Q1 = 40 - 2P1 - P2 Q2 = 35 - P1 - P2 C = Q 2/1 + 2Q 2/2 + 10 (a) find the output levels that satisfy the first order condition for maximum profit. (use fractions) (b) check the second - order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum? (c) What is the maximal 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
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 2.1CE
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A two - product firm faces the following demand and cost functions:
Q1 = 40 - 2P1 - P2
Q2 = 35 - P1 - P2
C = Q 2/1 + 2Q 2/2 + 10
(a) find the output levels that satisfy the first order condition for maximum profit. (use fractions)
(b) check the second - order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum?
(c) What is the maximal profit?
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