Consider the following network diagram showing Company RML's distribution network along with capacity at each point
Consider the following network diagram showing Company RML's distribution network along with capacity at each point
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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
Transcribed Image Text:Consider the following network diagram showing Company RML's distribution network along
with capacity at each point:
Plant 1
Plant 2
P1
1200
130
160
Plant 1
Plant 2
P2
900
Maximum amount sent from each plant to warehouse
Warehouse 1 Warehouse 2 Warehouse 3
150
140
170
180
Plants
Transporation cost from plants to warehouse
Warehouse 1 Warehouse 2 Warehouse 3
$20
5.80
$25
550
$30
$95
WI
200
(A) $63,250
(B) $64,580
(C) $65,350
(D) None of the above
W2
350
W3
250
Warehouses
Warehouse
Warehouse 2
Warehouse
The transportation costs and maximum weekly amount of shipment are given below:
Maximum amount sent from each warehouse to retailer
Retailer Retailer 2 Retailer 3 Retailer 4 Retailer 5
120
110
70
50
140
180
90
190
160
R1
$65
Warehouse 1
Warehouse 2 $85
Warehouse 3 $90
R2 120
R3
$50
510
585
180
R5
R4 100
140
Retailers
Transporation cost from warehouse to retailers
$60
585
$25
160
Retailer 1 Retailer 2 Retailer 3 Retailer 4 Retailer 5
20
140
20
150
120
100
$75
575
$35
$25
$90
$95
Due to contract regulations, the company needs to send at least 10 units from each warehouse to
each of the retailer. What would be the optimal cost of shipment for the company?
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