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1) A local fitness center (gym) with a monopoly is serving a population of consumers who each have the following annual demand for exercise who

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1) A local fitness center (gym) with a monopoly is serving a population of consumers who each have the following annual demand for exercise who demand varies based on price and quantity, where q is measured in weeks (so p represents the price of a week at the gym). The marginal cost of providing a week of exercise (cost due to cleaning, maintenance, etc.) is constant and given by MC = 10. The gym seeks to maximize profit. a) Suppose that there are 100 consumers and the market demand curve for the gym can be written as 1 P=25EQ If the gym uses first degree price discrimination (perfect price discrimination), what will the highest and lowest prices charged for a week? How many total weeks will consumers go to the gym and how much will each consumer go? What will be the consumer surplus

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