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The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. Distributor 1 Distributor 2 Distributor 3 | Supply Plant 1 8 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: *11 = X12 = X13 = X21 = X22 = x23 = X31 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units 000 I| ||

The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. Distributor 1 Distributor 2 Distributor 3 | Supply Plant 1 8 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: *11 = X12 = X13 = X21 = X22 = x23 = X31 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units 000 I| ||

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. Distributor 1 Distributor 2 Distributor 3 Supply Plant 1 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: X11 = *12 = X13 = X21 = X22 = x23 = 231 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units
Transcribed Image Text:The following table is a transportation matrix showing the cost ($) per unit of shipping from Plant i to Distributor j. The objective is to minimize shipping costs while meeting the demand placed by each Distributor. There is no shipment between Plant 2 and Distributor 3. Distributor 1 Distributor 2 Distributor 3 Supply Plant 1 25 27 490 Plant 2 18 13 360 --- Plant 3 21 14 16 110 Demand 450 390 80 Let xij = number units shipped from Plant i to Distributor j Solve the transportation problem and use the result to fill the boxes below. All answers are equally weighted. a) At optimal solution: X11 = *12 = X13 = X21 = X22 = x23 = 231 = X32 = X33 = Minimum Cost = $ b) At optimal solution, how much unused capacity is available at each Plant? Slack at Plant 1 = units Slack at Plant 2 = units Slack at Plant 3 = units
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