3: Transportation VAM | Problem A A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs. The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are: PLANT CAPACITY (BOXES PER WEEK) DEMAND (BOXES PER WEEK) WAREHOUSE 1 2 3 25,000 45,000 30,000 The estimated ship cost per box for the various routes are: ABCD 10,000 20,000 40,000 20,000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
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3: Transportation VAM | Problem A
A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its
products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs.
The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are:
PLANT CAPACITY (BOXES PER WEEK)
1
2
3
25,000
45,000
30,000
WAREHOUSE
A
B
C
D
DEMAND (BOXES PER WEEK)
10,000
20,000
40,000
20,000
The estimated ship cost per box for the various routes are:
TO
FROM
A
B
C
D
I
1
2
4
5
2
2
3
3
2
3
4
1
2
1
Row/Column Opportunity Cost
Demand
Row/Column
Opportunity Cost
Supply
Cell
Cost of the above Test of unallocated Cells Amount
allocation
Total Cost
Transcribed Image Text:3: Transportation VAM | Problem A A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs. The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are: PLANT CAPACITY (BOXES PER WEEK) 1 2 3 25,000 45,000 30,000 WAREHOUSE A B C D DEMAND (BOXES PER WEEK) 10,000 20,000 40,000 20,000 The estimated ship cost per box for the various routes are: TO FROM A B C D I 1 2 4 5 2 2 3 3 2 3 4 1 2 1 Row/Column Opportunity Cost Demand Row/Column Opportunity Cost Supply Cell Cost of the above Test of unallocated Cells Amount allocation Total Cost
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