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

Short Answer

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 a constraint to ensure that if machine 4 is used and machine 1 will not be used.