A restaurant hires cooks and waiters. Cooks earn $10 an hour; waiters earn $5 an hour. The manager, who wants to maximize the number of meals served given a fixed payroll of $45 per hour, expects the following from cooks and waiters:

$$\begin{array} { c c c }
\text { Meaber of emplayees } & \begin{array} { c }
\text { Total raznber of medis served } \
\text { Cooks }
\end{array} & \begin{array} { c }
\text { Waiters }
\end{array} \
\hline 1 & 200 & 120 \
2 & 380 & 230 \
3 & 540 & 310 \
4 & 660 & 360 \
5 & 740 & 390
\end{array}$$
-Given the fixed payroll, the maximum number of meals that can be served is

Question

A restaurant hires cooks and waiters. Cooks earn $10 an hour; waiters earn $5 an hour. The manager, who wants to maximize the number of meals served given a fixed payroll of $45 per hour,  expects the following from cooks and  waiters:

$$\begin{array} { c c c } 
\text { Meaber of emplayees } & \begin{array} { c } 
\text { Total raznber of medis served } \
\text { Cooks }
\end{array} & \begin{array} { c } 
\text { Waiters }
\end{array} \
\hline 1 & 200 & 120 \
2 & 380 & 230 \
3 & 540 & 310 \
4 & 660 & 360 \
5 & 740 & 390
\end{array}$$
-Given the fixed payroll, the maximum number of meals that can be served is

Quizplus · Accepted Answer

With a $45 per hour budget, the restaurant can hire 3 cooks (3 x $10 = $30) and 3 waiters (3 x $5 = $15), serving a total of 540 (cooks) + 310 (waiters) = 850 meals.

A Restaurant Hires Cooks and Waiters -Given the Fixed Payroll, the Maximum Number of Meals That