Exercise A.9 You are an executive of Super Computer, INC. (SC), which rents supercomputers. SC receives a fixed rent for a period of time in exchange for the right to use unlimited computers equal to P cents per second. SC has two types of potential clients of equal numbers: 10 companies and 10 academic institutions. Each company has the demand function Q = 10 – P, where Q is expressed in millions of seconds per month; each academic institution has the demand Q = 8 – P. The marginal cost to SC of additional computer utilization is 2 cents per second, regardless of volume. a) Suppose you can distinguish companies from academic clients. What rental and usage fee would you charge each group? Calculate the profits you would get? b) Suppose that you cannot separate the two types of customers and that you did not charge a rental fee. What usage quota would maximize your profits? How many benefits would you get?
Exercise A.9
You are an executive of Super Computer, INC. (SC), which rents supercomputers. SC receives a fixed rent for a period of time in exchange for the right to use unlimited computers equal to P cents per second. SC has two types of potential clients of equal numbers: 10 companies and 10 academic institutions. Each company has the
a) Suppose you can distinguish companies from academic clients. What rental and usage fee would you charge each group? Calculate the profits you would get?
b) Suppose that you cannot separate the two types of customers and that you did not charge a rental fee. What usage quota would maximize your profits? How many benefits would you get?
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