Question: Given: Objective Function Min Z = 6A + 9B ($ cost) s.t. A + 2B < 8 (Available Resources 1) 10A + 7.5B 30 (Available

Given: Objective Function Min Z = 6A + 9B ($ cost) s.t. A + 2B < 8 (Available Resources 1) 10A + 7.5B 30 (Available Resources 2) B 2 (Available Resources 3) A, B 0 student submitted image, transcription available below

SENSITIVITY ANALYSIS (40PTS) Given: Objective Function Min Z=6A + 9B ($ cost) s.t. A+2B < 8 (Available Resources 1) 10A + 7.5B > 30 (Available Resources 2) B> 2 (Available Resources 3) A, B > 0 1. What is the optimal solution including the optimal value of the objective function? (5pts) 2. Suppose the unit cost of A is decreased to $4. Is the current solution still optimal? What is the value of the objective function when this unit cost is decreased to $4? 3. How much can the unit cost of B be decreased without concern for the optimal solution changing? 4. If simultaneously the cost of x was raised to $7.5 and the cost of x2 was reduced to $6, would the current solution remain optimal? What will be the optimal cost? 5. If the right-hand side of constraint 3 is increased by 1, what will be the effect on the optimal solution? 6. What is the maximum amount the company should pay for 20 extra units of resources 2? 7. Compute for the Shadow Prices 8. Compute for the Ranges of the RHS of the Binding Constraints. (4pts)

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