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Shophite Company is faced with the problem of assigning five senior managers to six regions. From past experience, he knows that the efficiency of the sales and operating cost, depends on manager-region combination. The sales (in GHC) recorded under the different managers are given below: Manager Region 1 3 4 5 73 91 87 82 78 80 81 85 69 76 74 85 C 75 72 83 84 78 91 93 96 86 91 83 82 93 91 79 89 76 a) Formulate a linear programming model for solving the problem. The model above was solved using Solver software and part of the output is shown below. Use it to answer the questions that follow. Original Final Cell Name Value Value $C$4 A region1 $D$4 A region 2 SE$4 A region 3 $F$4 A region 4 SG$4 A region 5 0. 69 D.

Shophite Company is faced with the problem of assigning five senior managers to six regions. From past experience, he knows that the efficiency of the sales and operating cost, depends on manager-region combination. The sales (in GHC) recorded under the different managers are given below: Manager Region 1 3 4 5 73 91 87 82 78 80 81 85 69 76 74 85 C 75 72 83 84 78 91 93 96 86 91 83 82 93 91 79 89 76 a) Formulate a linear programming model for solving the problem. The model above was solved using Solver software and part of the output is shown below. Use it to answer the questions that follow. Original Final Cell Name Value Value $C$4 A region1 $D$4 A region 2 SE$4 A region 3 $F$4 A region 4 SG$4 A region 5 0. 69 D.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A. The Managing Director of Shoprite Company is faced with the problem of assigning five senior managers to six regions. From past experience, he knows that the efficiency of the sales and operating cost, depends on manager-region combination. The sales (in GHC) recorded under the different managers are given below: Manager Region 1 2 4 6 73 91 87 82 78 80 B 81 85 69 76 74 85 75 72 83 84 78 91 93 96 86 91 83 82 E 93 91 79 89 69 76 a) Formulate a linear programming model for solving the problem. The model above was solved using Solver software and part of the output is shown below. Use it to answer the questions that follow. Original Final Cell Name Value Value 0. SC$4 A region1 $D$4 A region 2 SES4 A region 3 $F$4 A region 4 SG$4 A region 5 1 1 0.
Transcribed Image Text:A. The Managing Director of Shoprite Company is faced with the problem of assigning five senior managers to six regions. From past experience, he knows that the efficiency of the sales and operating cost, depends on manager-region combination. The sales (in GHC) recorded under the different managers are given below: Manager Region 1 2 4 6 73 91 87 82 78 80 B 81 85 69 76 74 85 75 72 83 84 78 91 93 96 86 91 83 82 E 93 91 79 89 69 76 a) Formulate a linear programming model for solving the problem. The model above was solved using Solver software and part of the output is shown below. Use it to answer the questions that follow. Original Final Cell Name Value Value 0. SC$4 A region1 $D$4 A region 2 SES4 A region 3 $F$4 A region 4 SG$4 A region 5 1 1 0.
$H$4 A region 6 $C$5 B region 1 $D$5 B region 2 SE$5 B region 3 $F$5 B region 4 $G$5 B region 5 $H$5 B region 6 $C$6 C region 1 $D$6 C region 2 $E$6 C region 3 $F$6 C region 4 $6$6 C region 5 $H$6 C region 6 $C$7 D region 1 $D$7 D region 2 SE$7 D region 3 $F$7 D region 4 $G$7 D region 5 SH$7 D region 6 $C$8 E region 1 $D$8 E region 2 SE$8 E region 3 $F$8 E region 4 $G$8 E region 5 SH$8 E region 6 1 1 0. 1 1 1 b) Management have asked you to determine the optimal assignment rule. Write your answer in a form of a report to be submitted to the management. c) Advice the management about objective function value corresponding to your answer in. d) Explain to the management the reason why some of the regions cannot be assigned. OO o oO
Transcribed Image Text:$H$4 A region 6 $C$5 B region 1 $D$5 B region 2 SE$5 B region 3 $F$5 B region 4 $G$5 B region 5 $H$5 B region 6 $C$6 C region 1 $D$6 C region 2 $E$6 C region 3 $F$6 C region 4 $6$6 C region 5 $H$6 C region 6 $C$7 D region 1 $D$7 D region 2 SE$7 D region 3 $F$7 D region 4 $G$7 D region 5 SH$7 D region 6 $C$8 E region 1 $D$8 E region 2 SE$8 E region 3 $F$8 E region 4 $G$8 E region 5 SH$8 E region 6 1 1 0. 1 1 1 b) Management have asked you to determine the optimal assignment rule. Write your answer in a form of a report to be submitted to the management. c) Advice the management about objective function value corresponding to your answer in. d) Explain to the management the reason why some of the regions cannot be assigned. OO o oO
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