Using the “Transportation Matrix”, solve the transportation problem below using the Northwest Corner and Intuitive Lowest-Cost methods. Use the Northwest Corner method result as the starting point and solve for the optimal solution using the Stepping-Stone method. Show all steps and all calculations when doing the Stepping-Stone method. Plants Supply Destination Demand Kansas City 35 Chicago 30 Omaha 50 St louis 65 Des Moines 50 Cincinnati 40 Total 135 Tons Total 135 Tons transport cost form Plants to Destinations ($/Ton) Plants Chicago St louis Cincinnati Kansas city $ 4.00 $ 3.00 $ 3.00 Omaha $ 6.00 $ 7.00 $ 6.00 Des Moines $ 8.00 $ 2.00 $ 5.00 A. Northwest Corner method B. Intuitive Lowest-Cost method C. Stepping-Stone method
Using the “Transportation Matrix”, solve the transportation problem below using the Northwest Corner and Intuitive Lowest-Cost methods. Use the Northwest Corner method result as the starting point and solve for the optimal solution using the Stepping-Stone method.
Show all steps and all calculations when doing the Stepping-Stone method.
|
Plants |
Supply |
Destination |
Demand |
||
|
Kansas City |
35 |
Chicago |
30 |
||
|
Omaha |
50 |
St louis |
65 |
||
|
Des Moines |
50 |
Cincinnati |
40 |
||
|
Total |
135 |
Tons |
Total |
135 |
Tons |
|
transport cost form Plants to Destinations ($/Ton) |
||||
|
Plants |
Chicago |
St louis |
Cincinnati |
|
|
Kansas city |
$ 4.00 |
$ 3.00 |
$ 3.00 |
|
|
Omaha |
$ 6.00 |
$ 7.00 |
$ 6.00 |
|
|
Des Moines |
$ 8.00 |
$ 2.00 |
$ 5.00 |
A. Northwest Corner method
B. Intuitive Lowest-Cost method
C. Stepping-Stone method
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