The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain.Westfall 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.

$$\begin{array} { c c c c }
\text { Machine } & \begin{array} { c }
\text { Fixed Cost to Set } \
\text { Up Production Run }
\end{array} & \begin{array} { c }
\text { Variable Cost } \
\text { Per Hose }
\end{array} & \text { Capacity } \
\hline 1 & 750 & 1.25 & 6000 \
2 & 500 & 1.50 & 7500 \
3 & 1000 & 1.00 & 4000 \
4 & 300 & 2.00 & 5000
\end{array}$$
a.This problem requires two different kinds of decision variables.Clearly define each kind.
b.The company wants to minimize total cost.Give the objective function.
c.Give the constraints for the problem.
d.Write a constraint to ensure that if machine 4 is used,machine 1 cannot be.

Question

The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain.Westfall 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.
​
 $$\begin{array} { c c c c } 
\text { Machine } & \begin{array} { c } 
\text { Fixed Cost to Set } \
\text { Up Production Run }
\end{array} & \begin{array} { c } 
\text { Variable Cost } \
\text { Per Hose }
\end{array} & \text { Capacity } \
\hline 1 & 750 & 1.25 & 6000 \
2 & 500 & 1.50 & 7500 \
3 & 1000 & 1.00 & 4000 \
4 & 300 & 2.00 & 5000
\end{array}$$ 
a.This problem requires two different kinds of decision variables.Clearly define each kind.
b.The company wants to minimize total cost.Give the objective function.
c.Give the constraints for the problem.
d.Write a constraint to ensure that if machine 4 is used,machine 1 cannot be.

Quizplus · Accepted Answer

The Answer of The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain.Westfall 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.
​
 $$\begin{array} { c c c c } 
\text { Machine } & \begin{array} { c } 
\text { Fixed Cost to Set } \
\text { Up Production Run }
\end{array} & \begin{array} { c } 
\text { Variable Cost } \
\text { Per Hose }
\end{array} & \text { Capacity } \
\hline 1 & 750 & 1.25 & 6000 \
2 & 500 & 1.50 & 7500 \
3 & 1000 & 1.00 & 4000 \
4 & 300 & 2.00 & 5000
\end{array}$$ 
a.This problem requires two different kinds of decision variables.Clearly define each kind.
b.The company wants to minimize total cost.Give the objective function.
c.Give the constraints for the problem.
d.Write a constraint to ensure that if machine 4 is used,machine 1 cannot be.

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