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:

Pressure Increases

A condition where the force exerted by a fluid per unit area within a physical system rises.

Monsoon

A seasonal reversing wind accompanied by corresponding changes in precipitation, influencing large regions in Asia and Africa's climate.

Decade-Long

a period spanning ten years.

Phases Of Water

The three primary states that water can exist in: solid (ice), liquid, and gas (vapor), each phase determined by temperature and pressure conditions.