An agency is having problems with personal phone calls made during working hours. Each minute of a personal call costs the agency $0.50 in wasted wages. The agency decides to hire operators to monitor calls in order to attain the optimal number of personal calls (minimize total cost of personal calls).

$$\begin{array} { c c }
\text { Number of } & \text { Total minutes af } \
\text { Operatars } & \text { personal calls (per hour } \
\hline 0 & 60 0\
1 & 480 \
2 & 410 \
3 & 370 \
4 & 350
\end{array}$$
-If operators receive $25 an hour, how many operators should the agency hire?

Question

An agency is having problems with personal phone calls made during working hours. Each minute of a personal call costs the agency $0.50 in wasted wages. The agency decides to hire operators to monitor calls in order to attain the optimal number of personal calls (minimize total cost of personal calls).

$$\begin{array} { c c } 
\text { Number of } & \text { Total minutes af } \
\text { Operatars } & \text { personal calls (per hour } \
\hline 0 & 60 0\
1 & 480 \
2 & 410 \
3 & 370 \
4 & 350
\end{array}$$
-If operators receive $25 an hour, how many operators should the agency hire?

Quizplus · Accepted Answer

The total cost of personal calls is minimized when the number of operators is 2. This is because the cost of operators is $25 per hour, and the cost of personal calls is $0.50 per minute. With 2 operators, the total cost of personal calls is $410 per hour, which is less than the cost of personal calls with 0, 1, 3, or 4 operators.

An Agency Is Having Problems with Personal Phone Calls Made