CCTV-Cam is a security service company. It employs skilled technicians to conduct maintenance activities. A demand forecast study reveals the number of hours of skilled maintenance time that CCTV-Cam requires during the next five months. They are given as follows: Month 1 (March): 5,000 hours Month 2 (April): 6,000 hours Month 3 (May): 7,000 hours Month 4 (June): 8,500 hours Month 5 (July): 10,000 hours At the beginning of March, 50 skilled technicians work for CCTV-Cam. Each skilled technician can work up to 150 hours per month. To meet future demands, new technicians must be trained. It takes one month to train a new technician, in order to become a skilled technician. During the month of training, a trainee must be supervised for 50 hours by a skilled technician. Each skilled technician is paid $2,000 a month (even if he or she does not work the full 150 hours). During the month of training, a trainee is paid $1,000 a month. At the end of each month, 5% of CCTV-Cam's skilled technicians quit to join Aster Computers. CCTV-Cam must determine the number of technicians who should be trained during each month t (t = 1, 2, 3, 4, 5) to satisfy demand at minimum cost. Formulate a Linear Program for this problem. Hint: This is a multiperiod problem with balance equations (similar the inventory case). Also, you may assume that the number of technicians satisfies the divisibility assumption.