The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below. Retail Outlet: Unit Shipping Cost 1 2 3 4 Plant           1 $500 $600 $400 $200  2   200   900   100   300  3   300   400   200   100  4   200   100   300   200 Plants 1, 2, 3, and 4 make exactly 10, 20, 20, and 10 shipments per month, respectively. Retail outlets 1, 2, 3, and 4 need to receive 20, 10, 10, and 20 shipments per month, respectively.   The distribution manager, Randy Smith, now wants to determine the best plan for how many shipments to send from each plant to the respective retail outlets each month. Randy’s objective is to minimize the total shipping cost.

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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The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below.

Retail Outlet: Unit Shipping Cost
1 2 3 4
Plant        
  1 $500 $600 $400 $200
 2   200   900   100   300
 3   300   400   200   100
 4   200   100   300   200

Plants 1, 2, 3, and 4 make exactly 10, 20, 20, and 10 shipments per month, respectively. Retail outlets 1, 2, 3, and 4 need to receive 20, 10, 10, and 20 shipments per month, respectively.

 

The distribution manager, Randy Smith, now wants to determine the best plan for how many shipments to send from each plant to the respective retail outlets each month. Randy’s objective is to minimize the total shipping cost.

There areQuestion Blank 1 of 3resource constraints,Question Blank 2 of 3benefit constraints, andQuestion Blank 3 of 3fixed- requirement constraints in this problem.
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