Cars are shipped from three distribution centers to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Following table summarizes the mileage between the distribution centers and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. a. Formulate the associated transportation model. b. Determine the optimal shipping schedule. Dealer 1 2 3 4 S Supply Center 1 100 150 200 140 Center 2 Center 3 Demand ཏེ ཝཱ། 50 70 60 65 880 35 400 200 40 90 100 150 130 150 100 200 150 160 140
Cars are shipped from three distribution centers to five dealers. The shipping cost is based on the mileage between the sources and the destinations and is independent of whether the truck makes the trip with partial or full loads. Following table summarizes the mileage between the distribution centers and the dealers together with the monthly supply and demand figures given in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is $25. a. Formulate the associated transportation model. b. Determine the optimal shipping schedule. Dealer 1 2 3 4 S Supply Center 1 100 150 200 140 Center 2 Center 3 Demand ཏེ ཝཱ། 50 70 60 65 880 35 400 200 40 90 100 150 130 150 100 200 150 160 140
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Cars are shipped from three distribution centers to five dealers. The shipping cost is based on
the mileage between the sources and the destinations and is independent of whether the truck
makes the trip with partial or full loads. Following table summarizes the mileage between the
distribution centers and the dealers together with the monthly supply and demand figures given
in number of cars. A full truckload includes 18 cars. The transportation cost per truck mile is
$25.
a. Formulate the associated transportation model.
b. Determine the optimal shipping schedule.
Dealer
1
2
3
4
S
Supply
Center 1
100
150
200
140
Center 2
Center 3
Demand
ཏེ ཝཱ།
50
70
60
65
880
35
400
200
40
90
100
150
130
150
100
200
150
160
140
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