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Problem 1: In another division of Generic Motors, decisions are being made to create the most efficient distribution model of shipping the luxury car from

Problem 1:

In another division of Generic Motors, decisions are being made to create the most efficient distribution model of shipping the luxury car from one of the major distribution centres to each dealer. Here is the weekly demand showing how many luxury cars dealers B G need for the week.

B

C

D

E

F

G

12

6

15

13

5

9

Here are the available routes and costs for the distribution centre (Site A) and 6 dealers (Site B-G).

To

Site

A

B

C

D

E

F

G

From

A

0

12

20

26

44

50

59

B

9

0

7

18

34

44

44

C

22

10

0

9

22

27

42

D

24

17

8

0

10

21

23

E

38

26

19

7

0

7

19

F

42

34

21

18

7

0

8

G

64

56

37

28

16

6

0

What is the shipping strategy that will minimize the cost? You may assume that there are enough cars at site A to meet the demand at all the dealers.

What are the decision variables for this problem?

What is the objective for Problem 1? What is the formula for this objective?

What are the supplied data for Problem 1?

What are the constraints for Problem 1?

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