Fred Block Company has orders for 90 tons of concrete blocks at three suburban locations as follows: Northwood -- 25 tons, Westwood -- 45 tons, and Eastwood -- 20 tons. Fred has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is shown as follows                                      Delivery Cost Per Ton                     Northwood                 Westwood               Eastwood  Plant1                 20                             30                            40                   Plant 2                30                             40                            45 a. Develop a network representation of this distribution problem. b. Develop a linear program model that can be used to determine the plan that will minimize total distribution costs. c. Solve the problem to describe the distribution plan and show total distribution cost.(Submit Excel files).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Fred Block Company has orders for 90 tons of concrete blocks at three suburban locations as follows: Northwood -- 25 tons, Westwood -- 45 tons, and Eastwood -- 20 tons. Fred has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is shown as follows

                                     Delivery Cost Per Ton

                    Northwood                 Westwood               Eastwood

 Plant1                 20                             30                            40                   Plant 2                30                             40                            45

a. Develop a network representation of this distribution problem.

b. Develop a linear program model that can be used to determine the plan that will minimize total distribution costs.

c. Solve the problem to describe the distribution plan and show total distribution cost.(Submit Excel files).

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