Consider a firm that produces two products Q₁ and Q2 at two different prices P₁ and P₂. The cost function is given by C(Q) = 4Q1 + 2Q1Q2 + 4Q ²2. • Find the profit function • What are the optimal quantities of Q₁ and Q2 that will maximize profit? • Verify that the optimal quantities will indeed yield a maximum profit.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider a firm that produces two products Q₁ and Q₂ at two different prices P₁ and P₂. The cost
function is given by C(Q) = 4Q³ + 2Q1Q2 + 4Q ²/2.
● Find the profit function
• What are the optimal quantities of Q₁ and Q₂ that will maximize profit?
• Verify that the optimal quantities will indeed yield a maximum profit.
Transcribed Image Text:1 Consider a firm that produces two products Q₁ and Q₂ at two different prices P₁ and P₂. The cost function is given by C(Q) = 4Q³ + 2Q1Q2 + 4Q ²/2. ● Find the profit function • What are the optimal quantities of Q₁ and Q₂ that will maximize profit? • Verify that the optimal quantities will indeed yield a maximum profit.
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