86 CHAPTER 3 INTRODUCTION Two types of computer consultants can be hired: full-time a part-time. The full-time consultants work for 8 consecutive in any of the following shifts: morning (8 A.M. 4 P.M.), atten (noon-8 P.M.), and evening (4 P.M.-midnight). Full-time consu are paid $40 per hour. Part-time consultants can be hired to work any of the shifts listed in the above table. Part-time consultants are pas $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. I C (b) Solve this model by the simplex method. . 2 m uel for this problem. model by the simplex method. 3.4-10. 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: 11 usage of the cenu 8 A.M. Until mischedule the starter Center for Following number of us times of the days monite S Time of Day om Minimum Number of Consultants Required to Be on Duty 0 8 A.M.-noon 1 tu Noon-4 P.M. 2 45 4 PM-8 PM 3 8 P.M.-midnight V D 8 IODE 001 6 3.4-10. 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 Required to Be on Duty Time of Day od local bm 8 A.M.-noon Noon-4 P.M. 4 P.M.-8 P.M. 8 P.M.-midnight 10 6 lob 86 CHAPTER 3 INTRODUCTION TO Two types of computer consul part-time. The full-time consultants work for in any of the following shifts: morning (8 A. (noon-8 P.M.), and evening (4 P.M.-midnight). are paid $40 per hour. Part-time consultants can be hired shifts listed in the above table. Part-time $30 per hour. tants can be hired: full-time and ultants work for 8 consecutive hours ts: morning (8 A.M. -4 P.M.), afternoon (4 P.M.--midnight). Full-time consultants am yea (a) " sultants can be hired to work any of the four e above table. Part-time consultants are paid An additional requirement is that during every time pe 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. 24 11 sk The Madannin Camnany nraduccnrecision medical