As part of a quality improvement initiative, employees of Walsh PLC must complete a two-day training program on teaming and a three-day training program on problem solving. The manager of quality improvement has requested that at least 6 training programs on teaming and at least 8 training programs on problem solving be offered during the current period. In addition, senior management has specified that at least 20 total training programs must be offered during this period. The consultant that teaches these training programs has 50 available days of training time during this period. The consultant’s fee is $600 for each training program on teaming and $400 for each training program on problem solving. Develop a linear programming model that can be used to find the number of each type of training program that should be offered in order to minimize Walsh PLC’s total cost. You do not need to solve the LP.
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