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A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution.

A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution.

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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Exercise 17 Transportation and Assignment Problems A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution. 2. Use the Stepping-Stone Method to find the minimal shipping costs. Warehouse Factory XYZ Capacity A 22 3 4 216 6 C 134 8. Demand 2 5 11 3. A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W, X, Y, and Z). The distance in kilometers between the taxis and the customers are given in the table below. Use the Hungarian Method to assign the taxis to customers so that the distance needed to pick them up is a minimum. Customer Taxi W X Y Z A 10 8 4 6 B 6 4 12 8 C 14 10 8 2 D 4 14 10 8
Transcribed Image Text:Exercise 17 Transportation and Assignment Problems A company has factories A, B, and C which supply warehouses X, Y, and Z. Daily factory capacities are 4, 6, and 8 units, respectively. Daily warehouse demands are 2, 5, and 11 units, respectively. Unit shipping costs (in hundreds of pesos) are shown below. 1. Use the Northwest Corner Rule to find the initial solution. 2. Use the Stepping-Stone Method to find the minimal shipping costs. Warehouse Factory XYZ Capacity A 22 3 4 216 6 C 134 8. Demand 2 5 11 3. A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W, X, Y, and Z). The distance in kilometers between the taxis and the customers are given in the table below. Use the Hungarian Method to assign the taxis to customers so that the distance needed to pick them up is a minimum. Customer Taxi W X Y Z A 10 8 4 6 B 6 4 12 8 C 14 10 8 2 D 4 14 10 8
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