12. Refer to Problem 11. Suppose that shipments between the two warehouses are permitted at $2 per unit and that direct shipments can be made from Plant 3 to Customer 4 at a cost of $7 per unit. a. Develop a network representation of this problem. b. Formulate a linear programming model of this problem. C. Solve the linear program to determine the optimal shipping plan.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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Problem #12: Please resolve this problem using solver in Excel (part c). Step by step screen shoots would be very helpful. Thank you.

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b. Determine the optimal assignment of
11. The distribution system for the Herman Company consists of three plants, two warehouses,
and four customers. Plant capacities and shipping costs per unit (in $) from each plant to
each warehouse are as follows:
Plant
1
Warehouse
1
2
Demand
2
3
1
4
8
5
Warehouse
1
6
3
300
2
5
6
Customer demand and shipping costs per unit (in $) from each warehouse to each customer
are as follows:
2
Customer
Capacity
450
600
380
4
6
300
387
300
a. Develop a network representation of this problem.
b. Formulate a linear programming model of the problem.
c. Solve the linear program to determine the optimal shipping plan.
446
7
400
12. Refer to Problem 11. Suppose that shipments between the two warehouses are permitted at
per unit and that direct shipments can be made from Plant 3 to Customer 4 at a cost of
$7 per unit.
$2
a. Develop a network representation of this problem.
b. Formulate a linear programming model of this problem.
C. Solve the linear program to determine the optimal shipping plan.
Transcribed Image Text:b. Determine the optimal assignment of 11. The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Plant 1 Warehouse 1 2 Demand 2 3 1 4 8 5 Warehouse 1 6 3 300 2 5 6 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows: 2 Customer Capacity 450 600 380 4 6 300 387 300 a. Develop a network representation of this problem. b. Formulate a linear programming model of the problem. c. Solve the linear program to determine the optimal shipping plan. 446 7 400 12. Refer to Problem 11. Suppose that shipments between the two warehouses are permitted at per unit and that direct shipments can be made from Plant 3 to Customer 4 at a cost of $7 per unit. $2 a. Develop a network representation of this problem. b. Formulate a linear programming model of this problem. C. Solve the linear program to determine the optimal shipping plan.
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