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A Company Makes 2 Products a and B from 2

Question 35

Essay

A company makes 2 products A and B from 2 resources, labor and material. The products have the following resource requirements and produce the accompanying profits. The available quantity of resources is also shown in the table.
 Product  A  B  Avalable resources  Labor (hr/unit) 32150 Material (ounces/unit) 12200 Profit($/unit) 76\begin{array}{lccc}\text { Product } & \text { A } & \text { B } & \text { Avalable resources } \\\hline \text { Labor (hr/unit) } & 3 & 2 & 150 \\\text { Material (ounces/unit) } & 1 & 2 & 200 \\\text { Profit(\$/unit) } & 7 & 6 &\end{array}
Management has developed the following set of goals
Goal 1: Produce approximately 40 urits of product 1
Goal 2: Produce approxinately 70 urits of product 2
Goal 3: Achieve a profit aver \$400.
Goal 4: Consume less than 150 hours of labor Formulate a goal programming model of this problem.

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