Suppose that the market demand curve of food delivery service in city A is given by P = 100 − Q, where P is the price and Q is the quantity. Currently there is only one firm. The incumbent’s cost function is given by TC = 40q, where q is the quantity provided by the incumbent. Suppose that there’s a potential entrant with cost function TC = 40qe + 100, where qe is the quantity provided by the entrant. The 100 is the sunk cost for developing the delivery system that is paid upon entering the market. a. If the entrant observes the incumbent providing qi units of service and expects this level to be maintained, what output will the entrant produce? b. At what price will the incumbent sell this output to keep the entrant out of the market

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose that the market demand curve of food delivery service in city A is given by P = 100 − Q, where P is the price and Q is the quantity. Currently there is only one firm. The incumbent’s cost function is given by TC = 40q, where q is the quantity provided by the incumbent. Suppose that there’s a potential entrant with cost function TC = 40qe + 100, where qe is the quantity provided by the entrant. The 100 is the sunk cost for developing the delivery system that is paid upon entering the market. a. If the entrant observes the incumbent providing qi units of service and expects this level to be maintained, what output will the entrant produce? b. At what price will the incumbent sell this output to keep the entrant out of the market?

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