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In: Statistics and Probability

1. As a part of a quality improvement initiative , ABC co. employees complete a three...

1. As a part of a quality improvement initiative , ABC co. employees complete a three day training program on teaming and a two day training program on problem solving .The manager of quality improvement has requested that at least 8 training programs on teaming and at least 10 training programs on problem solving be offered during the next six months. In addition , senior-level management has specified that at least 25 total training program must be offered during this period. The consultant that teaches these training program has 84 available days of training program. Each training program on teaming costs $10,000 and each training program on problem solving costs $8,000.

a. Formulate a LP model that can be used to determine the number of training programs on teaming and the number of training programs on problem solving that should be offered in order to minimize total cost. Be sure to define decision variables clearly.

b. Using the graphical method, identify and highlight the feasible region clearly.

c. Use the corner point method (table) to determine the optimal solution. Show all your feasible corner points clearly. 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 total cost .Solve for the minimal cost solution using the graphical method , and determine the associated costs

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orchestra answered 2 years ago
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