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

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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.  Fixed Cost to Set  Variable Cost  Machine  Up Production Run  Per Hose  Capacity 17501.25600025001.507500310001.00400043002.005000\begin{array}{cccc}& \text { Fixed Cost to Set } & \text { Variable Cost } & \\\text { Machine } & \text { Up Production Run } & \text { Per Hose } & \text { Capacity }\\\hline1 & 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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An environmental organization in the United States dedicated to protecting the planet's natural environments and promoting the responsible use of the Earth's ecosystems and resources.

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The welfare or well-being of the general public; often considered a guiding principle for governmental policy or law.

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Groups or issues that lack sufficient advocacy or recognition within political, legal, or social systems, often leading to limited or non-existent policy consideration.

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