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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?


Definitions:

Expansion Project

An initiative undertaken by a company to increase its production or service capacity, often requiring significant capital investment.

Operating Cash Flow

Cash generated from a company's normal business operations, indicating its ability to generate sufficient positive cash flow to maintain and grow operations.

Net Working Capital

The difference between a company's current assets and its current liabilities, indicating its short-term financial health and efficiency.

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