A company wants to minimize the cost of shipping a product from 3 different factories to 6 different customers. Each factory has a capacity of upto 50000 units each.  Customers 1 to 6 need to be supplied 30000 units, 23000 units, 15000 units, 32000 units, 28000 units, and 16000 units, respectively. How should the company distribute the products? The shipping costs are given in the table below. Minimize the costs of shipping goods from factories to customers, while meeting the demand of each customer. Cost of shipping ($ per product)           Destinations             Customer 1 Customer 2 Customer 3 Customer 4 Customer 5 Customer 6 Factory 1 $1.75 $2.25 $1.50 $2.00 $1.65 $1.50 Factory 2 $1.90 $2.35 $2.00 $1.75 $1.80 $1.25 Factory 3 $2.00 $2.50 $2.50 $1.50 $1.95 $1.00 Refer to the Factory-to-Six-Customers problem and start with the original information. At the optimum solution, total shipping costs are close to: A. $190,685 B. $328,550 C. $242,700 D. $409,550

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 68P
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A company wants to minimize the cost of shipping a product from 3 different factories to 6 different customers. Each factory has a capacity of upto 50000 units each.  Customers 1 to 6 need to be supplied 30000 units, 23000 units, 15000 units, 32000 units, 28000 units, and 16000 units, respectively. How should the company distribute the products? The shipping costs are given in the table below. Minimize the costs of shipping goods from factories to customers, while meeting the demand of each customer.
Cost of shipping ($ per product)        
  Destinations          
  Customer 1 Customer 2 Customer 3 Customer 4 Customer 5 Customer 6
Factory 1 $1.75 $2.25 $1.50 $2.00 $1.65 $1.50
Factory 2 $1.90 $2.35 $2.00 $1.75 $1.80 $1.25
Factory 3 $2.00 $2.50 $2.50 $1.50 $1.95 $1.00

Refer to the Factory-to-Six-Customers problem and start with the original information. At the optimum solution, total shipping costs are close to: A. $190,685 B. $328,550 C. $242,700 D. $409,550

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