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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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 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?
Transcribed Image Text: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 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?
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at point b) - The formula written down when MC is equated with MR is d(P x Q) / dQ. Then in the next step, dQ is cut down and only P is left. Shouldn't dP be left here? 

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