RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also, there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. Given the costs below, draw a network representation for this problem. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 550 500 S1 250 300 500 Auction 2 600 450 S2 350 650 450 Formulate this problem as a linear programming model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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  1. RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with.  When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots.  There are various costs associated with the average purchase and transportation prices from each auction to each repair shop.  Also, there are transportation costs from the repair shops to the used car lots.  RVW is concerned with minimizing its total cost given the costs in the table below.

 

  1. Given the costs below, draw a network representation for this problem.

 

 

Repair Shops

 

 

Used Car Lots

 

S1

S2

 

 

L1

L2

L3

Auction 1

550

500

 

S1

250

300

500

Auction 2

600

450

 

S2

350

650

450

 

  1. Formulate this problem as a linear programming model.

         (Note: You do not need to solve the model.)

 

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