An IT company conducts a job-training program for programmers. Expert programmers are used as teachers in the program at a ratio of one for every ten trainees. The training program lasts for one month (Assumption: No. of trainees multiple of 10). From past experience it has been found that out of ten trainees hired, only seven complete the program successfully (the unsuccessful trainees are released). Expert programmers are also needed for ongoing projects and the companys requirements for the next three months are as follows: January 100, February 150 and March 200. In addition, the company requires 250 expert programmers by April. There are 130 expert programmers available at the beginning of the year. Payroll costs per month are as follows: Each trainee $ 400 Each expert programmer (programming or teaching) $ 700 Each idle expert programmer $500 Set up the linear programming problem that will produce the minimum cost hiring and training schedule and meet the companys requirements