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

question 36

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.
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$$\begin{array} { c c c c } \text { Machine } & \begin{array} { c } \text { Fixed Cost to Set } \\\text { Up Production Run }\end{array} & \begin{array} { c } \text { Variable Cost } \\\text { Per Hose }\end{array} & \text { Capacity } \\\hline 1 & 750 & 1.25 & 6000 \\2 & 500 & 1.50 & 7500 \\3 & 1000 & 1.00 & 4000 \\4 & 300 & 2.00 & 5000\end{array}$$
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:

Stretch Reflex

A muscle contraction in response to stretching within the muscle, a mechanism that helps maintain muscle tone and posture.

Golgi Tendon Reflex

A protective reflex mechanism that prevents muscle damage during excessive force by causing muscle relaxation.

Reciprocal Innervation

The coordination of muscle groups achieved through the activation of one muscle and the simultaneous inhibition of its antagonist.

Obturator Nerve

A nerve in the pelvic region that innervates the adductor muscles of the thigh.