How many total nurses are needed to be on staff for the optimal solution?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 81P
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A hospital emergency room requires different numbers of nurses on different days of the week. The number of full-time employees required to be working (i.e. not on call) each day is given in the table below.

Mon Tue Wed Thu Fri Sat Sun
18 15 12 13 20 28 22

Hospital rules require that nurses work four consecutive days, are on call for one day, and then receive two days off. The hospital wants to meet its daily requirements, while minimizing the number of nurses that must be on staff.

A. How many total nurses are needed to be on staff for the optimal solution?

B.Suppose the hospital is experiencing a budget crunch and needs to use the nurses' on call day to temporarily staff the emergency room.

How many nurses work on Thursday in the optimal solution?

C. Suppose the hospital has 40 nurses and is not allowed to hire or fire any employees, and cannot temporarily schedule nurses on their on call days. Determine a schedule that meets the daily requirements while maximizing the number of weekend days off received by the nurses.

How many nurses will work on Monday if this solution is implemented

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,