ind the a. decision variables b. objective function c. constraints

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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find the a. decision variables b. objective function c. constraints
The newly-established pediatric department of a local hospital is in need of full-time nurses who will work
in 8-hour shift per day and part-time nurses who will work in 4-hour shifts per day. Each day is divided into 6 four-hours
periods, which requires different number of nurses., as shown in the table below:
Time Period Index
Time Period Covered
7am - 11am.
11am-3pm
3pm - 7pm
7pm - 11pm
11pm-3am
3am - 7am
1
2
3
4
5
6
Required Number of
Nurses
7
9
12
5
4
3
The shifts of full-time nurses can begin at the start of any of the four-hour periods. Hospital policy requires that there
must be at least two full-time nurses at each time period. Also, the number of part-time nurses cannot exceed the number
of full-time nurses in any time period. Full-time nurses get paid at $160 per shift, while the part-time nurses get paid at
$50 per shift. Formulate a linear programming model that will determine the nursing schedule so as to minimize the total
cost.
Transcribed Image Text:The newly-established pediatric department of a local hospital is in need of full-time nurses who will work in 8-hour shift per day and part-time nurses who will work in 4-hour shifts per day. Each day is divided into 6 four-hours periods, which requires different number of nurses., as shown in the table below: Time Period Index Time Period Covered 7am - 11am. 11am-3pm 3pm - 7pm 7pm - 11pm 11pm-3am 3am - 7am 1 2 3 4 5 6 Required Number of Nurses 7 9 12 5 4 3 The shifts of full-time nurses can begin at the start of any of the four-hour periods. Hospital policy requires that there must be at least two full-time nurses at each time period. Also, the number of part-time nurses cannot exceed the number of full-time nurses in any time period. Full-time nurses get paid at $160 per shift, while the part-time nurses get paid at $50 per shift. Formulate a linear programming model that will determine the nursing schedule so as to minimize the total cost.
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