G and P Manufacturing Would Like to Minimize the Labor

question 41

Essay

G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer.Although two models of motors exist,the finished models are indistinguishable from one another;their cost difference is due to a different production sequence.The time in hours required for each model in each production area is tabled here,along with the labor cost.
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$$\begin{array} { c | c c } & \text { Model 1 } & \text { Model 2 } \\\hline \text { Area A } & 15 & 3 \\\text { Area B } & 4 & 10 \\\text { Area C } & 4 & 8 \\\hline \text { Cost } & 80 & 65\end{array}$$ Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C.If 2000 hours are available to be transferred from area B to Area A,3000 hours are available to be transferred from area C to either Areas A or B,develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.

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