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Hansen Controls Has Been Awarded a Contract for a Large

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Hansen Controls has been awarded a contract for a large number of control panels.To meet this demand,it will use its existing plants in San Diego and Houston,and consider new plants in Tulsa,St.Louis,and Portland.Finished control panels are to be shipped to Seattle,Denver,and Kansas City.Pertinent information is given in the table.  Shipping Cost to Destination:  Sources  Construction  Cost  Seattle  Denver  Kansas  City  Capacity  San Diego ⋯5782,500 Houston ⋯10862,500 Tulsa 350,00094310,000 St. Louis 200,000126210,000 Portland 480,0004101110,000 Demand 3,0008,0009,000\begin{array} { l | c | c c c | c } & &{ \text { Shipping Cost to Destination: } } & \\{ \text { Sources } } & \begin{array} { c } \text { Construction } \\\text { Cost }\end{array} & \text { Seattle } & \text { Denver } & \begin{array} { c } \text { Kansas } \\\text { City }\end{array} & \text { Capacity } \\\hline \text { San Diego } & \cdots & 5 & 7 & 8 & 2,500 \\\text { Houston } & \cdots & 10 & 8 & 6 & 2,500 \\\text { Tulsa } & 350,000 & 9 & 4 & 3 & 10,000 \\\text { St. Louis } & 200,000 & 12 & 6 & 2 & 10,000 \\\text { Portland } & 480,000 & 4 & 10 & 11 & 10,000 \\\hline & \text { Demand } & 3,000 & 8,000 & 9,000 &\end{array} Develop a model whose solution would reveal which plants to build and the optimal shipping schedule.

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