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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:  Construction  Kansas  Sources  Cost  Seattle Denver  City  Capacity  San Diego 5782,500 Houston 10862,500 Tulsa 350,00094310,000 St. Louis 200,000126210,000 Portl and 480,0004101110,000 Demand 3,0008,0009,000\begin{array}{l|c|rcc|c}&&&(\text { Shipping Cost to Destination: }&\\&\text { Construction }&&&\text { Kansas }\\\text { Sources } & \text { Cost } & \text { Seattle } & \text {Denver } & \text { City } & \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 { Portl and } & 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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