A company manufactures a product at its plants in C and D; then ships the product to its four distribution centers in K, L, M, and N. The transportation costs per unit (in dollars per unit) are as follows: from C to K, L, M, and N: 10, 5, 9, and 20. from D to K, L, M, and N: 2, 8, 30, and 10. The monthly demand from K, L. M, and N are: 3000, 1400, 4000, and 1200 units, respectively. On the other hand, the monthly capacity at plants C and D are: 4100 and 5800 units, respectively. Develop a linear programming model that can be used to determine the distribution plan that will minimize total monthly transportation cost. Use Excel Solver to find the optimal solution The optimal solution shows that the total monthly transportation cost is dollars.

Practical Management Science
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Author:WINSTON, Wayne L.
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A company manufactures a product at its plants in C and D; then ships the product to its four
distribution centers in
K, L, M, and N.
The transportation costs per unit (in dollars per unit) are as follows:
from C to K, L, M, and N: 10, 5, 9, and 20.
from D to K, L, M, and N: 2, 8, 30, and 10.
The monthly demand from K, L., M, and N are: 3000, 1400, 4000, and 1200 units, respectively.
On the other hand, the monthly capacity at plants C and D are: 4100 and 5800 units, respectively.
Develop a linear programming model that can be used to determine the distribution plan that
will minimize total monthly transportation cost. Use Excel Solver to find the optimal solution
The optimal solution shows that the total monthly transportation cost is
dollars.
Transcribed Image Text:A company manufactures a product at its plants in C and D; then ships the product to its four distribution centers in K, L, M, and N. The transportation costs per unit (in dollars per unit) are as follows: from C to K, L, M, and N: 10, 5, 9, and 20. from D to K, L, M, and N: 2, 8, 30, and 10. The monthly demand from K, L., M, and N are: 3000, 1400, 4000, and 1200 units, respectively. On the other hand, the monthly capacity at plants C and D are: 4100 and 5800 units, respectively. Develop a linear programming model that can be used to determine the distribution plan that will minimize total monthly transportation cost. Use Excel Solver to find the optimal solution The optimal solution shows that the total monthly transportation cost is dollars.
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