A manager has 7 part-time workers and needs to assign different working days to them. The maximum number of days each worker is available in each month is shown in the below table. The worker's salary is different based on their skill level as shown in the table. The senior-level and junior-level workers should work at least 10 and 15 days during the time period from January to May, respectively. There are only 13 working days in each month with exactly one worker on duty during these days. The manager needs to determine the number of days each worker should work per each month so that the total cost will be minimized. Formulate the problem and recommend the best plan to the manager? Worker Jan Junior 1 8 Junior 2 3 Junior 3 3 Junior 4 0 Senior 1 3 Senior 2 0 Senior 3 5 Number of days available Mar Apr 0 3 4 5 0 6 5 Feb 0 5 5 5 1 3 3 3 2 0 5 3 5 2 May 5 6 4 2 4 0 0 Pay rate per day $100 $110 $120 $90 $150 $130 $140

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A manager has 7 part-time workers and needs to assign different working days to them. The maximum number of days each worker is available in each month is shown in the below table. The worker's salary is different based on their skill level as shown in the table. The senior-level and junior-level workers should work at least 10 and 15 days during the time period from January to May, respectively. There are only 13 working days in each month with exactly one worker on duty during these days. The manager needs to determine the number of days each worker should work per each month so that the total cost wil be minimized. rormulate the problem and recommend the best plan to the manager?
Question 2:
A manager has 7 part-time workers and needs to assign different working days to them. The maximum
number of days each worker is available in each month is shown in the below table. The worker's
salary is different based on their skill level as shown in the table. The senior-level and junior-level
workers should work at least 10 and 15 days during the time period from January to May, respectively.
There are only 13 working days in each month with exactly one worker on duty during these days. The
manager needs to determine the number of days each worker should work per each month so that
the total cost will be minimized. Formulate the problem and recommend the best plan to the
manager?
Worker Jan
Junior 1
8
Junior 2
3
Junior 3
3
Junior 4
0
Senior 1
3
Senior 2
0
Senior 3 5
Number of days available
Mar
Apr
0
3
4
5
0
6
5
Feb
0
5
5
5
1
3
3
3
2
0
5
3
5
2
May
5
6
4
2400
Pay rate
per day
$100
$110
$120
$90
$150
$130
$140
Transcribed Image Text:Question 2: A manager has 7 part-time workers and needs to assign different working days to them. The maximum number of days each worker is available in each month is shown in the below table. The worker's salary is different based on their skill level as shown in the table. The senior-level and junior-level workers should work at least 10 and 15 days during the time period from January to May, respectively. There are only 13 working days in each month with exactly one worker on duty during these days. The manager needs to determine the number of days each worker should work per each month so that the total cost will be minimized. Formulate the problem and recommend the best plan to the manager? Worker Jan Junior 1 8 Junior 2 3 Junior 3 3 Junior 4 0 Senior 1 3 Senior 2 0 Senior 3 5 Number of days available Mar Apr 0 3 4 5 0 6 5 Feb 0 5 5 5 1 3 3 3 2 0 5 3 5 2 May 5 6 4 2400 Pay rate per day $100 $110 $120 $90 $150 $130 $140
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