A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer.     Shipping Costs ($/unit) Factory/Capacity Customer 1 Customer 2 Customer 3 A/180 units   13     11     11   B/160 units   7     6     10   C/110 units   5     10     8     Requirement— 225 units Requirement— 75 units Requirement— 150 units     Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.)       What is the total cost of meeting customer requirements each day?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
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A firm is attempting to minimize its shipping costs. The firm has 3 factories and must supply the needs of its 3 customers without shortages. Since the firm has no storage facilities, each factory must make daily shipments to its customers. The table below shows the capacity of each factory, the amount required by each customer, and the cost of shipping from each factory to each customer.

 

  Shipping Costs ($/unit)
Factory/Capacity Customer 1 Customer 2 Customer 3
A/180 units   13     11     11  
B/160 units   7     6     10  
C/110 units   5     10     8  
  Requirement— 225 units Requirement— 75 units Requirement— 150 units
 

 

Complete the table below to show the quantity shipped from each factory to each customer. (Leave no cells blank - be certain to enter "0" wherever required.)

 

 

 

What is the total cost of meeting customer requirements each day?

 

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