Question: 26. A machine tool company conducts a job-training program for machinists. Trained machinists are used as teachers in the program at a rate of one

26. A machine tool company conducts a
26. A machine tool company conducts a job-training program for machinists. Trained machinists are used as teachers in the program at a rate of one for every ten trainees. The training program lasts for one month. From past experience it has been found that out of ten trainees hired, only seven complete the program successfully (the unsuccessful trainees are released). Trained machinists are also needed for machining and the company's requirements for the next three months are as follows: January February March 100 150 200 In addition, the company requires 250 trained machinists by April. There are 130 trained machinists available at the beginning of the year. Payroll costs per month are: Each trainee P400 Each trained machinist (machining/teaching) 700 Each trained machinist idle (union contract forbids firing trained machinists) 500 Set up the linear programming model that will produce the minimum hiring and training schedule

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