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A Government Agency Is Having Problems with Personal Telephone Calls

question 8

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A government agency is having problems with personal telephone calls made during working hours. Because each minute of a personal call costs the agency $0.50 in wasted wages, it has decided to hire operators to monitor calls. The agency wants to hire the number of operators that will minimize the total cost of personal calls.

 Number of  operators  Minutes of personal  calls(per week)  0390012300213003600410050\begin{array}{cc}\begin{array}{c}\text { Number of } \\\text { operators }\end{array} & \begin{array}{c}\text { Minutes of personal } \\\text { calls(per week) }\end{array} \\\hline 0 & 3900 \\1 & 2300 \\2 & 1300 \\3 & 600 \\4 & 100 \\5 & 0\end{array}
-If operators receive $400 a week, what is the lowest possible total cost of personal calls?


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