6. A two-product firm face the following demand and cost functions Q₁ = 40 - 2P₁ P₂ ; Q₂ = 35 - P₁ - P₂; C= Q² +2Q² + 10 (a) Find the output levels that satisfy the first-order conditions for maximum profit (Hint: maintain fractions) (b) Is the second-order sufficient condition satisfied? (c) What is the maximum profit?

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Chapter1: Making Economics Decisions
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6. A two-product firm face the following demand and cost functions
Q₁ = 40 - 2P₁ P₂; Q₂ = 35 - P₁ - P₂; C= Q² +2Q² + 10
(a) Find the output levels that satisfy the first-order conditions for maximum profit (Hint:
maintain fractions)
(b) Is the second-order sufficient condition satisfied?
(c) What is the maximum profit?
Transcribed Image Text:6. A two-product firm face the following demand and cost functions Q₁ = 40 - 2P₁ P₂; Q₂ = 35 - P₁ - P₂; C= Q² +2Q² + 10 (a) Find the output levels that satisfy the first-order conditions for maximum profit (Hint: maintain fractions) (b) Is the second-order sufficient condition satisfied? (c) What is the maximum profit?
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