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A Monopolist Sells in Two Markets

question 27

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A monopolist sells in two markets.The demand curve for her product is given by p1 = 122 - 2x1 in the first market and p2 = 306 - 5x2 in the second market, where xi is the quantity sold in market i and pi is the price charged in market i.She has a constant marginal cost of production, c = 6, and no fixed costs.She can charge different prices in the two markets.What is the profit-maximizing combination of quantities for this monopolist?


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Algorithm

A step-by-step procedure or set of rules designed to solve a problem or perform a specific task.

Heuristic

A problem-solving approach that employs a practical method or various shortcuts to produce solutions that are not guaranteed to be optimal, but sufficient for the immediate goals.

Information Retrieval

The process of obtaining relevant information from a collection of resources in response to a specific query or need.

Hill-climbing

A mathematical optimization technique that involves iterative progress toward a solution or goal by incrementally improving from the current state.

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