A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each volunteer works three consecutive hours expect for those starting at 8.00 PM, who work for two hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8.00 A.M as 8,6,7,6,4,6,8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8.00 A.M. to 10.00 P.M.). However, because of the large number of charities competing for their services, the number needed must be kept as low as possible. Develop LP model for an optimal schedule for the start time of the volunteers

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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 A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each volunteer works three consecutive hours expect for those starting at 8.00 PM, who work for two hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8.00 A.M as 8,6,7,6,4,6,8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8.00 A.M. to 10.00 P.M.). However, because of the large number of charities competing for their services, the number needed must be kept as low as possible. Develop LP model for an optimal schedule for the start time of the volunteers.

2. A hospital employs volunteers to staff the reception desk between 8:00 AM and 10:00 PM. Each
volunteer works three consecutive hours except for those starting at 8:00 PM who work for
2 hours only. The minimum need for volunteers is approximated by a step function over 2-hour
intervals starting at 8:00 AM as 4, 6, 8, 6, 4, 6, and 8. Because most volunteers are retired
individuals, they are willing to offer their services at any hour of the day (8:00 AM to 10:00 PM).
However, because of the large number of charities competing for their service, the number
needed must be kept as low as possible. Formulate an LP to determine the optimal schedule for
volunteers.
Transcribed Image Text:2. A hospital employs volunteers to staff the reception desk between 8:00 AM and 10:00 PM. Each volunteer works three consecutive hours except for those starting at 8:00 PM who work for 2 hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8:00 AM as 4, 6, 8, 6, 4, 6, and 8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8:00 AM to 10:00 PM). However, because of the large number of charities competing for their service, the number needed must be kept as low as possible. Formulate an LP to determine the optimal schedule for volunteers.
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