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b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A В Supply 1 6 7 4 150 8 11 50 10 11 12 250 Demand 100 200 150 i) Find the initial solution using the Minimum Cost method and identify the special case if any. ii) Suppose the initial solution to the above problem takes the basic variables X11 = 100, x12 = 50, x23 = 50, x32 = 150 and x33 = 100. Find the optimal solution using Modified Distribution method. iii) Present the optimal solution obtained in ii) graphically.

b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A В Supply 1 6 7 4 150 8 11 50 10 11 12 250 Demand 100 200 150 i) Find the initial solution using the Minimum Cost method and identify the special case if any. ii) Suppose the initial solution to the above problem takes the basic variables X11 = 100, x12 = 50, x23 = 50, x32 = 150 and x33 = 100. Find the optimal solution using Modified Distribution method. iii) Present the optimal solution obtained in ii) graphically.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 2C
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b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A B C Supply 1 7 4 150 8 11 50 3 250 10 11 12 Demand 100 200 150 i) Find the initial solution using the Minimum Cost method and identify the special case if any. ii) Suppose the initial solution to the above problem takes the basic variables x11 = 100, x12 = 50, X23 = 50, x32 = 150 and x33 = 100. Find the optimal solution using Modified Distribution method. iii) Present the optimal solution obtained in ii) graphically.
Transcribed Image Text:b) Table 2 shows the transportation costs, demands and supplies of a transportation problem. Table 2: Transportation problem To From A B C Supply 1 7 4 150 8 11 50 3 250 10 11 12 Demand 100 200 150 i) Find the initial solution using the Minimum Cost method and identify the special case if any. ii) Suppose the initial solution to the above problem takes the basic variables x11 = 100, x12 = 50, X23 = 50, x32 = 150 and x33 = 100. Find the optimal solution using Modified Distribution method. iii) Present the optimal solution obtained in ii) graphically.
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