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Gerald Glynn manages the Michaels Distribution Center. After careful examination

ID: 374891 • Letter: G

Question

Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database information, he has determined the daily requirements for part-time loading dock personnel. The distribution center operates 7 days a week, and the daily part-time staffing requirements are

Day

M

T

W

Th

F

S

SU

Requirements

5

3

4

3

7

2

5

Find the minimum number of workers Glynn must hire. Prepare a workforce schedule for these individuals so that each will have 2 consecutive days off per week and all staffing requirements will be satisfied. Give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week.)

The minimum number of workers is ___ workers

Specify the workforce schedule for each employee by indicating the day offs (other days are considered to be work days.) Make sure to give preference to the S-Su pair in case of a tie. (Note: If there is a tie that cannot be broken by following the preference to the S-Su pair, choose the pair closest to the beginning of the considered week, with Monday being considered as the first day of the week.)

Please note that all workers only get 2 days off

Employee

2 days off

1

?

2

?

3

?

4

?

5

?

6

?

7

?

*** PLEASE FILL IN THIS CHART!

Day

M

T

W

Th

F

S

SU

Requirements

5

3

4

3

7

2

5

Explanation / Answer

Out of many possibilities, one is shown -

Day M T W Th F S SU Requirements 5 3 4 3 7 2 5 Staff 1 4 2 3 2 6 OFF OFF Staff 2 3 OFF OFF 1 5 1 4 Staff 3 2 1 OFF OFF 4 0 3 Staff 4 1 0 2 0 3 OFF OFF Staff 5 OFF OFF 1 0 2 0 2 Staff 6 0 0 OFF OFF 1 0 1 Staff 7 OFF OFF 0 0 0 0 0
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