Dr. S. Morgan MGMT 315: Introduction to Mgmt. Science Problem Scenario: As part of a quality improvement initiative. Aggie Electronics 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 training programs must be offered during this period. Aggie Electronics uses a consultant to teach the training programs. During the next quarter, the consultant has 84 days of training time available. Each training program on tearning costs $10,000 and each training program on problem solving costs $8,000 Problem Solving Teaming Minimum teaming 1 Minimum problem solving Minimum total training programs 1 Days available 3 Cost $10,000 1 1 2 $8,000 Minimum Amt 8 10 25 84 1. Decision Variables: Decision Variable Parameter Definition 2. Objective function: 3. Constraints: Constraint Expression Explanation Minimum teaming Minimum problem solving Minimum total training programs Days available 4. Non-negativity: Minimization Problem 35 30 Min z = 10,000x; +8,000x2 s.t. 1x2 + 0x2 25 Ox, + 1x2 2 10 1x, + 1x2 2 25 3x2 + 2x2 5 84 X1, X220 25 20 15 10 5 0 0 5 10 15 20 25 30 X1 35 30 Minimization Problem Min 2 = 10,000x; +8,000x, s.t. 1x, + 0x2 2 25 Ox+ 1x, 2 10 1x, + 1x, 2 25 3x, + 2x, S 84 X1, X220 25 20 X2 15 10 5 0 10 15 20 30 5 25 X1 5. Solve by Substitution