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2. Consider the following tableau. There are 5 facilities that ship to 4 locatio

ID: 449518 • Letter: 2

Question

2. Consider the following tableau. There are 5 facilities that ship to 4 locations. The supply from the facilities and the demands for the locations are specified. Use the transportation method to determine the optimal shipping scheme such that the total transportation cost is minimized? Note you can use this website:

https://www.easycalculation.com/operations-research/minimum-transportation-least-cost-method.php

Facility      Loc A         Loc B         Loc C         Loc D        Supply

1                $12             $23             $15             $13             400

2                 $17             $11             $4               $6               400

3                 $13             $19             $14             $6               300

4                 $10             $6               $8               $8               200

5                 $21             $5               $22             $21             200

Demand 500 350 250 400 1500

Explanation / Answer

Iteration 1

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 2

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 3

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 4

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 5

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 6

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 7

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

Iteration 8

12

23

15

13

17

11

4

6

13

19

14

6

10

6

8

8

21

5

22

21

D1 D2 D3 D4 Supply S1

12

23

15

13

400 S2

17

11

4

250

6

150 S3

13

19

14

6

300 S4

10

6

8

8

200 S5

21

5

22

21

200 Demand 500 350 250 400