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The Rent-a-dent car rentalcompany allows its customers to pick up a rental car a

ID: 2938451 • Letter: T

Question

The Rent-a-dent car rentalcompany allows its customers to pick up a rental car at onelocation and return it to any of its locations. Currently 2locations(1,2) have 16 and 18 surplus cars and fourlocations(3,4,5,6) each need 10 cars. The cost of getting thesurplus cars from locations 1 and 2 to the other locations aresummarized in the following table.
             location3          location4       location5   location6
Location1       $54              $17            $23          $30
location2       $24              $18            $19         $31


Because 34 surplus cars are available at locations 1 and 2 and 40cars are needed at locations 3,4,5 and 6, some locations will notreceive as many cars as they need. However, management wants tomake sure that all the surplus cars are sent where they are needed,and each location needing cars receives at least 5.

a. Formulate an LPmodel for this problem
b. Create a spreadsheet model for this problem and solve itusing Solver
c. What is the optimal solution

Show all work and allconstraints must be posted as well.

Explanation / Answer

54

17

23

30

16

location2

24

18

19

31

18

dummy loc

                0

0

0

0

6

location3    location4 location5 location6 avail location1

54

17

23

30

16

location2

24

18

19

31

18

dummy loc

                0

0

0

0

6

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