The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.
$$\begin{array} { c c c c }
\text { Machine } & \begin{array} { c }
\text { Fixed Cost to Setup } \
\text { Production Run }
\end{array} & \begin{array} { c }
\text { Variable } \
\text { Cost per Hose }
\end{array} & \text { Capacity } \
\hline 1 & 750 & 1.25 & 6000 \
2 & 500 & 1.50 & 7500 \
3 & 1000 & 1.00 & 4000 \
4 & 300 & 2.00 & 5000 \
\hline
\end{array}$$
-Write the constraint for machine 4.
A) Y4 = 23
B) Y4 ? 300
C) X4 ? 5000
D) X4 -300Y1 ? 0

Question

The Wiethoff Company has a contract to produce 10,000 garden hoses for a customer. Wiethoff has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.
 $$\begin{array} { c c c c } 
\text { Machine } & \begin{array} { c } 
\text { Fixed Cost to Setup } \
\text { Production Run }
\end{array} & \begin{array} { c } 
\text { Variable } \
\text { Cost per Hose }
\end{array} & \text { Capacity } \
\hline 1 & 750 & 1.25 & 6000 \
2 & 500 & 1.50 & 7500 \
3 & 1000 & 1.00 & 4000 \
4 & 300 & 2.00 & 5000 \
\hline
\end{array}$$
-Write the constraint for machine 4.
A) Y4 = 23
B) Y4 ? 300
C) X4 ? 5000
D) X4 -300Y1 ? 0

Quizplus · Accepted Answer

The constraint for machine 4 relates to its capacity, which is 5000 hoses. This means machine 4 cannot produce more than 5000 hoses, hence the constraint is $X_4 \leq 5000$, where $X_4$ represents the number of hoses produced by machine 4.

The Wiethoff Company Has a Contract to Produce 10,000 Garden