As part of a quality improvement initiative, Enterprise Technology 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 eight training programs on teaming and at least ten training programs on problem-solving be offered during the next six months. In addition, senior-level management has specified that at least twenty-five training programs must be offered during this period. Enterprise Technology hires a consultant to teach the training programs. During the next quarter, the consultant has eighty-four days of training time available. Each training program on teaming costs ten-thousand dollars and each training program on problem-solving costs eight thousand dollars.  a. First step is to formulate a linear programming 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. b. Second step is to: Graph the feasible region. c. Third step is to determine the coordinates of each extreme point. d. Last step is to: Solve for the minimum cost solution (Please solve a-d)

Practical Management Science
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Author:WINSTON, Wayne L.
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As part of a quality improvement initiative, Enterprise Technology 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 eight training programs on teaming and at least ten training programs on problem-solving be offered during the next six months. In addition, senior-level management
has specified that at least twenty-five training programs must be offered during this period.
Enterprise Technology hires a consultant to teach the training programs. During
the next quarter, the consultant has eighty-four days of training time available. Each training
program on teaming costs ten-thousand dollars and each training program on problem-solving
costs eight thousand dollars. 

a. First step is to formulate a linear programming 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.

b. Second step is to: Graph the feasible region.

c. Third step is to determine the coordinates of each extreme point.

d. Last step is to: Solve for the minimum cost solution

(Please solve a-d) 

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