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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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.4: Aggregate Planning Models
Problem 18P
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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
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.
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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