CSL is a chain of computer service stores. The number of hours of skilled repair time thatCSL requires during the next five months is as follows:Month 1 (January): 6,000 hoursMonth 2 (February): 7,000 hoursMonth 3 (March): 8,000 hoursMonth 4 (April): 9,500 hoursMonth 5 (May): 11,000 hoursEXAMPLE 1 6 Multiperiod Work Scheduling110 CHAPTER 3 Introduction to Linear ProgrammingAt the beginning of January, 50 skilled technicians work for CSL. Each skilled techniciancan work up to 160 hours per month. To meet future demands, new technicians must betrained. It takes one month to train a new technician. During the month of training, atrainee must be supervised for 50 hours by an experienced technician. Each experiencedtechnician is paid $2,000 a month (even if he or she does not work the full 160 hours).During the month of training, a trainee is paid $1,000 a month. At the end of each month,5% of CSL’s experienced technicians quit to join Plum Computers. Formulate an LPwhose solution will enable CSL to minimize the labor cost incurred in meeting the service requirements for the next five months.
CSL is a chain of computer service stores. The number of hours of skilled repair time that
CSL requires during the next five months is as follows:
Month 1 (January): 6,000 hours
Month 2 (February): 7,000 hours
Month 3 (March): 8,000 hours
Month 4 (April): 9,500 hours
Month 5 (May): 11,000 hours
EXAMPLE 1 6 Multiperiod Work Scheduling
110 CHAPTER 3 Introduction to Linear Programming
At the beginning of January, 50 skilled technicians work for CSL. Each skilled technician
can work up to 160 hours per month. To meet future demands, new technicians must be
trained. It takes one month to train a new technician. During the month of training, a
trainee must be supervised for 50 hours by an experienced technician. Each experienced
technician is paid $2,000 a month (even if he or she does not work the full 160 hours).
During the month of training, a trainee is paid $1,000 a month. At the end of each month,
5% of CSL’s experienced technicians quit to join Plum Computers. Formulate an LP
whose solution will enable CSL to minimize the labor cost incurred in meeting the service requirements for the next five months.
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