A hospital needs to determine the number of nurses working in each of the 6-hour shifts. The first shift is from 12 a.m. to 6 a.m. and requires at least 10 nurses, the second shift is from 6 a.m. to 12 p.m. and requires at least 6 nurses, the third shift is from 12 p.m. to 6 p.m. and requires at least 7 nurses, the fourth shift is from 6 p.m. to 12 a.m. and requires at least 13 nurses. Each nurse is hired to work either 12 consecutive hours or 18 consecutive hours. A nurse is paid $15 per hour for each of the first 12 hours and $25 per hour for each of the next 6 hours they work in a day. Formulate a linear program to minimize the cost of meeting the hospital's daily nurse requirements. Clearly define the decision variables, the objective function, and the constraints. (You do not need to solve the problem.)
A hospital needs to determine the number of nurses working in each of the 6-hour shifts. The first shift is from 12 a.m. to 6 a.m. and requires at least 10 nurses, the second shift is from 6 a.m. to 12 p.m. and requires at least 6 nurses, the third shift is from 12 p.m. to 6 p.m. and requires at least 7 nurses, the fourth shift is from 6 p.m. to 12 a.m. and requires at least 13 nurses. Each nurse is hired to work either 12 consecutive hours or 18 consecutive hours. A nurse is paid $15 per hour for each of the first 12 hours and $25 per hour for each of the next 6 hours they work in a day. Formulate a linear program to minimize the cost of meeting the hospital's daily nurse requirements. Clearly define the decision variables, the objective function, and the constraints. (You do not need to solve the problem.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A hospital needs to determine the number of
nurses working in each of the 6-hour shifts.
The first shift is from 12 a.m. to 6 a.m. and
requires at least 10 nurses, the second shift
is from 6 a.m. to 12 p.m. and requires at least
6 nurses, the third shift is from 12 p.m. to 6
p.m. and requires at least 7 nurses, the fourth
shift is from 6 p.m. to 12 a.m. and requires at
least 13 nurses. Each nurse is hired to work
either 12 consecutive hours or 18
consecutive hours. A nurse is paid $15 per
hour for each of the first 12 hours and $25
per hour for each of the next 6 hours they
work in a day. Formulate a linear program to
minimize the cost of meeting the hospital's
daily nurse requirements. Clearly define the
decision variables, the objective function, and
the constraints. (You do not need to solve the
problem.)
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