Wheat is harvested at farms F1 and F2 before being shipped to the two grain elevators G1, G2 and G3; the amount of wheat harvested at each farm is 350 tons. The wheat is then shipped to the mills M1 and M2. The demand of M1 and M2 are 250 and 350 tons, respectively. The shipping costs from the farms to the grain elevators and onwards to the mills are as follows :   Grain Elevator Farm G1 G2 G3 F1 $15 $14 $11 F2 14 13 16     Mills Grain Elevator M1 M2 G1 $6 $10 G2 9 11 G3 4 12 a. Develop a distribution plan that minimizes the total shipping cost. Develop a spreadsheet model for the problem and solve using Excel Solver.  b. What is the optimum shipping cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
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Wheat is harvested at farms F1 and F2 before being shipped to the two grain elevators G1, G2 and G3; the amount of wheat harvested at each farm is 350 tons. The wheat is then shipped to the mills M1 and M2. The demand of M1 and M2 are 250 and 350 tons, respectively.

The shipping costs from the farms to the grain elevators and onwards to the mills are as follows :

 

Grain Elevator

Farm

G1

G2

G3

F1

$15

$14

$11

F2

14

13

16

 

  Mills
Grain Elevator M1 M2
G1 $6 $10
G2 9 11
G3 4 12


a. Develop a distribution plan that minimizes the total shipping cost. Develop a spreadsheet model for the problem and solve using Excel Solver. 

b. What is the optimum shipping cost?

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