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Fibrous Incorporated makes products from rough tree fibers. Its product line con

ID: 471850 • Letter: F

Question

Fibrous Incorporated makes products from rough tree fibers. Its product line consists of five items processed through one of five machines. The machines are not identical, and some products are better suited to some machines. Given the following production time in minutes per unit, determine an optimal assignment of product to machine:

Machine

Product

A

B

C

D

E

1

17

10

15

16

20

2

12

9

16

9

14

3

11

16

14

15

12

4

14

10

10

18

17

5

13

12

9

15

11

Machine

Product

A

B

C

D

E

1

17

10

15

16

20

2

12

9

16

9

14

3

11

16

14

15

12

4

14

10

10

18

17

5

13

12

9

15

11

Explanation / Answer

Solution :

The assignment is as follows :

Product 1 - Machine B

Product 2 - Machine D

Product 3 - Machine A

Product 4 - Machine C

Product 5 - Machine E

The calculation is as shown below :

Machine Product A B C D E 1 17 10 15 16 20 2 12 9 16 9 14 3 11 16 14 15 12 4 14 10 10 18 17 5 13 12 9 15 11 Machine Product A B C D E 1 7 0 5 6 10 2 3 0 7 0 5 3 0 5 3 4 1 4 4 0 0 8 7 5 4 3 0 6 2 Machine Product A B C D E 1 7 0(A) 5 6 10 2 3 0(X) 7 0(A) 5 3 0(A) 5 3 4 1 4 4 0(X) 0(A) 8 7 5 4 3 0(X) 6 2 Machine Product A B C D E 1 7 0(A) 5 6 10 2 3 0(X) 7 0(A) 5 3 0(A) 5 3 4 1 4 4 0(X) 0(A) 8 7 5 4 3 0(X) 6 2 D E 8 7 6 2 D E 1 0 4 0 Machine Product A B C D E 1 7 0(A) 5 6 10 2 3 0 7 0(A) 5 3 0(A) 5 3 4 1 4 4 0 0(A) 1 0 5 4 3 0 4 0(A)