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A large book publisher has 5 manuscripts that must be edited as soon as possible

ID: 403471 • Letter: A

Question

A large book publisher has 5 manuscripts that must be edited as soon as possible. 5 editors are available for doing the work, however their working times on the various manuscripts will differ based on thier backgrounds and interest. The publisher wants to use an assignment method to determine who does what manuscript. Estimates of editing times are below.

Fromulate the assignment model, show all decision variables and contstraints.

What is the total minimum editing time? What editors will be assigned to each manuscript?

Manuscript

A

B

C

D

E

1

12

8

10

16

13

2

9

10

14

13

9

3

17

14

9

18

12

4

15

7

11

9

18

5

12

18

22

11

27

Manuscript

A

B

C

D

E

1

12

8

10

16

13

2

9

10

14

13

9

3

17

14

9

18

12

4

15

7

11

9

18

5

12

18

22

11

27

Explanation / Answer

A1 B1 C1 D1 E1 A2 B2 C2 D2 E2 A3 B3 C3 D3 E3 A4 B4 C4 D4 E4 A5 B5 C5 D5 E5 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 12 8 10 16 13 9 10 14 13 9 17 14 9 18 12 15 7 11 9 18 12 18 22 11 27 47 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

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