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2. Two suppliers of products are available to supply the needs of four supermarkets. Each supplier can provide 90 units per day. Each supermarket would like to receive 60 units per day. For each unit per day of unmet demand, there is a penalty. At supermarket A, the penalty is P1, 000; at supermarket B, the penalty is P1, 100; at supermarket C, the penalty is P1, 150, and at supermarket D, the penalty is P1, 020. The cost of transporting each unit from each reservoir to each city is shown in the table below. From Supplier 1 Supplier 2 Supermarket A P 350 P 450 Supermarket B P 400 P 350 To Supermarket C P 500 P 40 Supermarket D P 300 P 250

2. Two suppliers of products are available to supply the needs of four supermarkets. Each supplier can provide 90 units per day. Each supermarket would like to receive 60 units per day. For each unit per day of unmet demand, there is a penalty. At supermarket A, the penalty is P1, 000; at supermarket B, the penalty is P1, 100; at supermarket C, the penalty is P1, 150, and at supermarket D, the penalty is P1, 020. The cost of transporting each unit from each reservoir to each city is shown in the table below. From Supplier 1 Supplier 2 Supermarket A P 350 P 450 Supermarket B P 400 P 350 To Supermarket C P 500 P 40 Supermarket D P 300 P 250

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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2. Two suppliers of products are available to supply the needs of four supermarkets. Each supplier can provide 90 units per day. Each supermarket would like to receive 60 units per day. For each unit per day of unmet demand, there is a penalty. At supermarket A, the penalty is P1,000; at supermarket B, the penalty is P1, 100; at supermarket C, the penalty is P1, 150, and at supermarket D, the penalty is P1, 020. The cost of transporting each unit from each reservoir to each city is shown in the table below. From Supplier 1 Supplier 2 Supermarket A P 350 P 450 Supermarket B P 400 P 350 To Supermarket C Supermarket D P 500 P 300 P 40 P 250
Transcribed Image Text:2. Two suppliers of products are available to supply the needs of four supermarkets. Each supplier can provide 90 units per day. Each supermarket would like to receive 60 units per day. For each unit per day of unmet demand, there is a penalty. At supermarket A, the penalty is P1,000; at supermarket B, the penalty is P1, 100; at supermarket C, the penalty is P1, 150, and at supermarket D, the penalty is P1, 020. The cost of transporting each unit from each reservoir to each city is shown in the table below. From Supplier 1 Supplier 2 Supermarket A P 350 P 450 Supermarket B P 400 P 350 To Supermarket C Supermarket D P 500 P 300 P 40 P 250
a. Define the decision variables. b. Formulate a balanced transportation problem that can be used to minimize the sum of shortage and transport costs. c. Write a linear programming model for this problem but do not solve the LP model.
Transcribed Image Text:a. Define the decision variables. b. Formulate a balanced transportation problem that can be used to minimize the sum of shortage and transport costs. c. Write a linear programming model for this problem but do not solve the LP model.
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