Consider a monopolist which produces two different products, each having the following demand functions: 91 = 14-7P1₁ 92 = 24- -P2, where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p represent their prices. The monopolist's joint cost function is given as C (91, 92) = 9+59192 +93². (b) State the first-order conditions for profit maximization. Find the production levels, 9₁ and 92, and the monopoly prices, pi and p2, that satisfy the conditions.
Consider a monopolist which produces two different products, each having the following demand functions: 91 = 14-7P1₁ 92 = 24- -P2, where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p represent their prices. The monopolist's joint cost function is given as C (91, 92) = 9+59192 +93². (b) State the first-order conditions for profit maximization. Find the production levels, 9₁ and 92, and the monopoly prices, pi and p2, that satisfy the conditions.
Chapter8: Monopoly
Section: Chapter Questions
Problem 7SQP
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