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A two-product firm faces the following demand and cost functions: Q1=40-2P1-P2 Q2=35-P1-P2 C=Q1^2+Q2^2+10 A. Find the output levels that satisfy the first-order condition for the
A two-product firm faces the following demand and cost functions:
Q1=40-2P1-P2
Q2=35-P1-P2
C=Q1^2+Q2^2+10
A. Find the output levels that satisfy the first-order condition for the 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 maximum profit?
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