Question

1) Describe "Sensitivity Analysis" within the Linear Programming context. Why is sensitivity analysis important?

2) Discuss the impact of the changes in the following to your optimal solution: objective function coefficient resources or right-hand-side values.

**I need at least 200 words**

Answer #1

1. Sensitivity analysis determine the amount by which we can change the input data for the output in lenear programming model. It helps to find out the sensitivity of supplied data in the problem. A small changes in input sometimes generate a big changes in the optimal solution for some model and some other time changes in input for some other model doesn't affect its optimal solution.

Sensitivity analysis important because it help to decision making and it helps in-depth study of all the variables. It study independent and dependent variable in a detailed manner.

2. The following linear programming problem has
been solved by The Management Scientist. Use the output to answer
the questions.
LINEAR PROGRAMMING PROBLEM
MAX 25X1+30X2+15X3
S.T. 1) 4X1+5X2+8X3<1200
2) 9X1+15X2+3X3<1500
OPTIMAL SOLUTION
Objective Function Value = 4700.000
Variable Variable Reduced Cost
X1 140.000 0.000
X2 0.000 10.000
X3 80.000 0.000
Constraint Slack/Surplus Dual Price
1 0.000 1.000
2 0.000 2.333
OBJECTIVE COEFFICIENT RANGES
Variable Lower Limit Current Value Upper Limit
X1 19.286 25.000 45.000
X2 No Lower Limit 30.000 40.000...

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