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 the indicates they can purchase no more than three machines.
A) Y1 + Y2 + Y3+ Y4 ? 3
B) Y1 + Y2 + Y3+ Y4 = 3
C) Y1 + Y2 + Y3+ Y4 ?3
D) Y1 + Y2 + Y3 = 3 Y2 + Y3+ Y4 = 3

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 the indicates they can purchase no more than three machines.
A) Y1 + Y2 + Y3+ Y4 ? 3
B) Y1 + Y2 + Y3+ Y4 = 3
C) Y1 + Y2 + Y3+ Y4 ?3
D) Y1 + Y2 + Y3 = 3 Y2 + Y3+ Y4 = 3

Quizplus · Accepted Answer

The constraint that they can purchase no more than three machines is represented by the inequality $Y1 + Y2 + Y3 + Y4 \leq 3$. This means the sum of the machines purchased (represented by Y1, Y2, Y3, Y4 for each machine respectively) should be less than or equal to 3.

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