2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution centres. The supply (in truck loads), the demand (in truckloads), and the unit transportation costs per truckload on the different routes are summarized in table below. Distribution centres Warehouses Distribution Distribution Supply(in truck loads) Distribution Distribution centre 1 centre 2 centre 3 centre 4 Warehouse 1 $10 $2 $20 $11 15 Warchouse 2 $12 $7 $9 $20 25 Warchouse 3 $4 $14 $16 $18 10 Demand (in 5 15 15 15 truck loads) Now, Sunray Transport Company wants to ship all the truckloads at a minimum cost and wants to fulfill the demand of all the distribution centres. Based on the information given above, answer the following questions. Also, clearly write down each of the steps.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question

Using the Vogel Approximation Method (VAM), determine the optimal allocation of the
truckloads of the Sunray Transport Company between different warehouses and distribution
centres that will minimize the cost and fulfill the demand of all the distribution centres. (Use
manual process)

2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution
centres. The supply (in truck loads), the demand (in truckloads), and the unit transportation costs
per truckload on the different routes are summarized in table below.
Distribution centres
Warehouses
Distribution
Distribution
Distribution
Supply(in
truck loads)
Distribution
centre 1
centre 2
centre 3
centre 4
Warehouse 1
$10
$2
$20
$11
15
Warchouse 2
$12
$7
$9
$20
25
Warehouse 3
$4
$14
$16
$18
10
Demand (in
5
15
15
15
truck loads)
Now, Sunray Transport Company wants to ship all the truckloads at a minimum cost and wants
to fulfill the demand of all the distribution centres. Based on the information given above, answer
the following questions. Also, clearly write down each of the steps.
Transcribed Image Text:2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution centres. The supply (in truck loads), the demand (in truckloads), and the unit transportation costs per truckload on the different routes are summarized in table below. Distribution centres Warehouses Distribution Distribution Distribution Supply(in truck loads) Distribution centre 1 centre 2 centre 3 centre 4 Warehouse 1 $10 $2 $20 $11 15 Warchouse 2 $12 $7 $9 $20 25 Warehouse 3 $4 $14 $16 $18 10 Demand (in 5 15 15 15 truck loads) Now, Sunray Transport Company wants to ship all the truckloads at a minimum cost and wants to fulfill the demand of all the distribution centres. Based on the information given above, answer the following questions. Also, clearly write down each of the steps.
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