A company has three plants producing a certain product that is to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below in milers: þistribution Center 1 2 3 4 800 1,300 400 700 Plant 1,100 1,400 600 1,000 3 600 1,200 800 900
A company has three plants producing a certain product that is to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below in milers: þistribution Center 1 2 3 4 800 1,300 400 700 Plant 1,100 1,400 600 1,000 3 600 1,200 800 900
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 76P
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Question
TRANSPORTATION PROBLEM
The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping costs? Use Northwest Corner Cell Method, Least Cost Cell Method and VAM in solving for the optimal solution.
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