A machine tool company conducts a job-training programme at a ratio of one for every ten trainees. The training programme lasts for one month. From past experience it has been found that out of 10 trainees hired, only seven complete the programme successfully. (The unsuccessful trainees are released). Trained machinists are also needed for machining. The company's requirement for the next three months is as follows: January: 100 machinists, February: 150 machinists and March: 200 machinists. In addition, the company requires 250 trained machinists by April. There are 130 trained machinists available at the beginning of the year. Pay roll cost per month is: Each trainee Rs. 400/- per month. Each trained machinist (machining or teaching): Rs. 700/- p.m. Each trained machinist who is idle: Rs.500/- p.m. (Labour union forbids ousting trained machinists). Build a l.p.p. for produce the minimum cost hiring and training schedule and meet the company’s requirement.

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A machine tool company conducts a job-training programme at a ratio of one for every
ten trainees. The training programme lasts for one month. From past experience it has been found that
out of 10 trainees hired, only seven complete the programme successfully. (The unsuccessful trainees
are released). Trained machinists are also needed for machining. The company's requirement for the
next three months is as follows:
January: 100 machinists, February: 150 machinists and March: 200 machinists.
In addition, the company requires 250 trained machinists by April. There are 130 trained machinists
available at the beginning of the year. Pay roll cost per month is:
Each trainee Rs. 400/- per month.
Each trained machinist (machining or teaching): Rs. 700/- p.m.
Each trained machinist who is idle: Rs.500/- p.m.
(Labour union forbids ousting trained machinists). Build a l.p.p. for produce the minimum cost
hiring and training schedule and meet the company’s requirement.

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