A company manufactures a product at its plants in A, B, and C, then ships the product to six customers in G, H, J, K, and L, The monthly capacity of plants A, B, and Care 7400, 7300, and 10000 units, respectively. The monthly demand from customers G, H, J, K, and Lare 3000, 500, 4600, 7500, and 8900 units, respectively. Use Excel Solver to find the optimal distribution plant that will give the lowest total monthly shipping cost if the shipping cost per unit (in dollars per unit) are as follows: - from A to G, H, J, K, and L are 4, 9, 20, 6, and 13 dollars per unit, respectively; from B to G, H, J, K, and L are 12, 7, 3, 10, and 6 dollars per unit, respectively; from C to G, H, J, K, and L are 7, 6, 12, 2, and 9 dollars per unit, respectively. - - The optimal total shipping costs is dollars per month.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Question
A company manufactures a product at its plants in A, B, and C,
then ships the product to six customers in G, H, J, K, and L,
The monthly capacity of plants A, B, and Care
7400, 7300, and 10000 units, respectively.
The monthly demand from customers G, H, J, K, and Lare
3000, 500, 4600, 7500, and 8900 units, respectively.
Use Excel Solver to find the optimal distribution plant that will give
the lowest total monthly shipping cost if the shipping cost per unit (in dollars
per unit)
are as follows:
- from A to G, H, J, K, and L are 4, 9, 20, 6, and 13 dollars per unit,
respectively;
from B to G, H, J, K, and L are 12, 7, 3, 10, and 6 dollars per unit,
respectively;
from C to G, H, J, K, and L are 7, 6, 12, 2, and 9 dollars per unit,
respectively.
-
The optimal total shipping costs is
dollars per month.
Transcribed Image Text:A company manufactures a product at its plants in A, B, and C, then ships the product to six customers in G, H, J, K, and L, The monthly capacity of plants A, B, and Care 7400, 7300, and 10000 units, respectively. The monthly demand from customers G, H, J, K, and Lare 3000, 500, 4600, 7500, and 8900 units, respectively. Use Excel Solver to find the optimal distribution plant that will give the lowest total monthly shipping cost if the shipping cost per unit (in dollars per unit) are as follows: - from A to G, H, J, K, and L are 4, 9, 20, 6, and 13 dollars per unit, respectively; from B to G, H, J, K, and L are 12, 7, 3, 10, and 6 dollars per unit, respectively; from C to G, H, J, K, and L are 7, 6, 12, 2, and 9 dollars per unit, respectively. - The optimal total shipping costs is dollars per month.
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