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A Company Makes 2 Products a and B from 2

Question 44

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A company makes 2 products A and B from 2 resources. The products have the following resource requirements and produce the accompanying profits. The available quantity of resources is also shown in the table.
 Product 12 Available resaurces  Labor (hr/unit) 32150 Material (aunces/unit) 12200 Profit( /unit) 76\begin{array} { l l l c } \text { Product } & 1 & 2 & \text { Available resaurces } \\\hline \text { Labor (hr/unit) } & 3 & 2 & 150 \\\text { Material (aunces/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
Goal 5:Consume lesse than 200 \text ounces of material
Based on the following GP formulation of the problem, and the associated optimal solution, what formulas should go in cells D6:F6, B9:F9, and B16 of the following Excel spreadsheet? NOTE: Formulas are not required in all of these cells.
 A company makes 2 products A and B from 2 resources. The products have the following resource requirements and produce the accompanying profits. The available quantity of resources is also shown in the table.   \begin{array} { l l l c }  \text { Product } & 1 & 2 & \text { Available resaurces } \\ \hline \text { Labor (hr/unit) } & 3 & 2 & 150 \\ \text { Material (aunces/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 Goal 5:Consume lesse than 200 \text ounces of material   Based on the following GP formulation of the problem, and the associated optimal solution, what formulas should go in cells D6:F6, B9:F9, and B16 of the following Excel spreadsheet? NOTE: Formulas are not required in all of these cells.     \begin{array}{|c|l|c|c|c|c|c|}  \hline & {\text { A }} & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\ \hline 1 & \text { Problem Data } & \mathrm{A} & \mathrm{B} & & & \\ \hline 2 & \text { Labor } & 3 & 2 & & & \\ \hline 3 & \text { Material } & 1 & 2 & & & \\ \hline 4 & \text { Profit } & 7 & 6 & & & \\ \hline 5 & \text { Goal Constraints } & \mathrm{A} & \mathrm{B} & \text { Labor } & \text { Material } & \text { Profit } \\ \hline 6 & \text { Actual Amount } & 4 & 69 & 150 & 142 & 442 \\ \hline 7 & + \text { Under } & 36 & 1 & 0 & 58 & 0 \\ \hline 8 & - \text { Over } & 0 & 0 & 0 & 0 & 42 \\ \hline 9 & =\text { Goal } & 40 & 70 & 150 & 200 & 400 \\ \hline 10 & \text { Target Value } & 40 & 70 & 150 & 200 & 400 \\ \hline 11 & & & & & & \\ \hline 12 & \text { Weights } & & & & & \\ \hline 13 & \text { Under } & 1 & 1 & 0 & 0 & 1 \\ \hline 14 & \text { Over } & 1 & 1 & 1 & 1 & 0 \\ \hline 15 & & & & & & \\ \hline 16 & \text { Objective } & 37 & & & & \\ \hline \end{array}    A  B  C  D  E  F 1 Problem Data AB2 Labor 323 Material 124 Profit 765 Goal Constraints AB Labor  Material  Profit 6 Actual Amount 4691501424427+ Under 36105808 Over 0000429= Goal 407015020040010 Target Value 40701502004001112 Weights 13 Under 1100114 Over 111101516 Objective 37\begin{array}{|c|l|c|c|c|c|c|} \hline & {\text { A }} & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline 1 & \text { Problem Data } & \mathrm{A} & \mathrm{B} & & & \\\hline 2 & \text { Labor } & 3 & 2 & & & \\\hline 3 & \text { Material } & 1 & 2 & & & \\\hline 4 & \text { Profit } & 7 & 6 & & & \\\hline 5 & \text { Goal Constraints } & \mathrm{A} & \mathrm{B} & \text { Labor } & \text { Material } & \text { Profit } \\\hline 6 & \text { Actual Amount } & 4 & 69 & 150 & 142 & 442 \\\hline 7 & + \text { Under } & 36 & 1 & 0 & 58 & 0 \\\hline 8 & - \text { Over } & 0 & 0 & 0 & 0 & 42 \\\hline 9 & =\text { Goal } & 40 & 70 & 150 & 200 & 400 \\\hline 10 & \text { Target Value } & 40 & 70 & 150 & 200 & 400 \\\hline 11 & & & & & & \\\hline 12 & \text { Weights } & & & & & \\\hline 13 & \text { Under } & 1 & 1 & 0 & 0 & 1 \\\hline 14 & \text { Over } & 1 & 1 & 1 & 1 & 0 \\\hline 15 & & & & & & \\\hline 16 & \text { Objective } & 37 & & & & \\\hline\end{array}

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