Consider the following network diagram showing Company RML's distribution network along with capacity at each point

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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?
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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