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

question 55

Essay

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.

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Definitions:

Long-Lived Asset

Assets that are expected to provide economic benefits to a company for a period longer than one year, such as buildings, machinery, and equipment.

Loss Account

A financial record that tracks the net losses of a company, often showcasing expenses that exceed revenues in a specific period.

Tangible Asset

A physical asset that can be touched and has intrinsic value, such as machinery, buildings, and land.

Copyright

A form of intellectual property law that grants the creator of an original work exclusive rights to its use and distribution, typically for a limited time.