The number of hours he should spend with each type of client to maximize his income where Slim charges different hourly rates to different categories of individuals $ 5 , 000 per hour or private citizens, $ 50 , 000 per hour for corporate executives and $ 10 , 000 per hour for presidents of universities and he can spend no more than 40 hours per week in consultation and he feels it would be best if he devoted at least 10 hours of consultation each week to university presidents and no more half the consultation time is spent with university presidents and at least 2 more hours of time each week is spent with private citizens than to corporate executives and university presidents combined.

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Chapter 5.4, Problem 48E

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To calculate: The number of hours he should spend with each type of client to maximize his income where Slim charges different hourly rates to different categories of individuals $5,000 per hour or private citizens, $50,000 per hour for corporate executives and $10,000 per hour for presidents of universities and he can spend no more than 40 hours per week in consultation and he feels it would be best if he devoted at least 10 hours of consultation each week to university presidents and no more half the consultation time is spent with university presidents and at least 2 more hours of time each week is spent with private citizens than to corporate executives and university presidents combined.

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