A grocery store hires cashiers and baggers. Cashiers earn $8 an hour; baggers earn $4 an hour. The manager, who wants to maximize the number of customers served given a fixed payroll, expects the following productivity from cashiers and baggers:

$\begin{array}{ccc}
&\text { Total number of customer's served }\
\text { Number of employees } & \text { Cashiers } & \text { Baggers } \
\hline 1 & 240 & 136 \
2 & 440 & 264 \
3 & 600 & 384 \
4 & 712 & 496 \
5 & 776 & 560
\end{array}$
-What is the maximum possible number of customers that can be served with a payroll of $32?

Question

A grocery store hires cashiers and baggers. Cashiers earn $8 an hour; baggers earn $4 an hour. The manager, who wants to maximize the number of customers served given a fixed payroll, expects the following productivity from cashiers and baggers:

$\begin{array}{ccc}
&\text { Total number of customer's served }\
\text { Number of employees } & \text { Cashiers } & \text { Baggers } \
\hline 1 & 240 & 136 \
2 & 440 & 264 \
3 & 600 & 384 \
4 & 712 & 496 \
5 & 776 & 560
\end{array}$
-What is the maximum possible number of customers that can be served with a payroll of $32?

Quizplus · Accepted Answer

With $32, the store can hire 4 cashiers (4 x $8 = $32) serving 712 customers or 8 baggers (8 x $4 = $32) serving 560 customers. The optimal combination is 2 cashiers and 4 baggers (2 x $8 + 4 x $4 = $32), serving 440 + 496 = 936 customers.

A Grocery Store Hires Cashiers and Baggers -What Is the Maximum Possible Number of Customers That Can