3.4-11. Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the cen- ter. It is open from 8 A.M. until midnight. Larry has monitored the usage of the center at various times of the day, and determined that the following number of computer consultants are required: Minimum Number of Consultants Time of Day Required to Be on Duty 8 A.M.-noon Noon 4 P.M. 4 P.M.-8 P.M. 8 10 6 8 P.M.-midnight
3.4-11. Larry Edison is the director of the Computer Center for Buckly College. He now needs to schedule the staffing of the cen- ter. It is open from 8 A.M. until midnight. Larry has monitored the usage of the center at various times of the day, and determined that the following number of computer consultants are required: Minimum Number of Consultants Time of Day Required to Be on Duty 8 A.M.-noon Noon 4 P.M. 4 P.M.-8 P.M. 8 10 6 8 P.M.-midnight
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
Related questions
Question
![3.4-11. Larry Edison is the director of the Computer Center for
Buckly College. He now needs to schedule the staffing of the cen-
ter. It is open from 8 A.M. until midnight. Larry has monitored the
usage of the center at various times of the day, and determined that
the following number of computer consultants are required:
Minimum Number of Consultants
Time of Day
Required to Be on Duty
8 A.M.-noon
Noon 4 P.M.
4 р.М.-8 Р.м.
4
8
10
8 P.M.-midnight
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bd756e4-6575-4a07-8688-843946bcc7d3%2F80b6ec79-e15b-43ca-84a0-d5af36540485%2F1yw32cj_processed.png&w=3840&q=75)
Transcribed Image Text:3.4-11. Larry Edison is the director of the Computer Center for
Buckly College. He now needs to schedule the staffing of the cen-
ter. It is open from 8 A.M. until midnight. Larry has monitored the
usage of the center at various times of the day, and determined that
the following number of computer consultants are required:
Minimum Number of Consultants
Time of Day
Required to Be on Duty
8 A.M.-noon
Noon 4 P.M.
4 р.М.-8 Р.м.
4
8
10
8 P.M.-midnight
6
![Two types of computer consultants can be hired: full-time and
part-time. The full-time consultants work for 8 consecutive hours
in any of the following shifts: morning (8 A.M.-4 P.M.), afternoon
(noon-8 P.M.), and evening (4 P.M.–midnight). Full-time consultants
are paid $40 per hour.
Part-time consultants can be hired to work any of the four
shifts listed in the above table. Part-time consultants are paid
$30 per hour.
An additional requirement is that during every time period,
there must be at least 2 full-time consultants on duty for every part-
time consultant on duty.
Larry would like to determine how many full-time and how
many part-time workers should work each shift to meet the above
requirements at the minimum possible cost.
(a) Formulate a linear programming model for this problem.
c (b) Solve this model by the simplex method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5bd756e4-6575-4a07-8688-843946bcc7d3%2F80b6ec79-e15b-43ca-84a0-d5af36540485%2F2xfiml_processed.png&w=3840&q=75)
Transcribed Image Text:Two types of computer consultants can be hired: full-time and
part-time. The full-time consultants work for 8 consecutive hours
in any of the following shifts: morning (8 A.M.-4 P.M.), afternoon
(noon-8 P.M.), and evening (4 P.M.–midnight). Full-time consultants
are paid $40 per hour.
Part-time consultants can be hired to work any of the four
shifts listed in the above table. Part-time consultants are paid
$30 per hour.
An additional requirement is that during every time period,
there must be at least 2 full-time consultants on duty for every part-
time consultant on duty.
Larry would like to determine how many full-time and how
many part-time workers should work each shift to meet the above
requirements at the minimum possible cost.
(a) Formulate a linear programming model for this problem.
c (b) Solve this model by the simplex method.
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