Problems Linear Programming Models
 Linear Programming Models - Sensitivity Analysis Interpretation

This problem considers the linear programming model shown below.

Solving this problem we obtain the solution:

Sensitivity analysis obtained from the computer program is shown below.

Dual Solution

 Row Constraint Value 1 E1 0 2 E2 0.75 3 E3 0 4 E4 1.25

Simple Ranging for Objective Function Coefficients

 Variable Objective Coefficient Lower Range Upper Range x1 2 5 --- x2 1 -4 4

Simple Ranging for Right Sides of Constraints

 Constraint Right Side Lower Range Upper Range E1 10 -4 --- E2 4 -10 20 E3 8 --- 16 E4 20 9.33 ---

Use this information to answer the following questions.

a. Explain what the entries in rows 1 and 2 indicate in the dual solution table.

b. Explain the upper and lower ranges given for the objective function coefficient of x2. What remains constant as the coefficient is changed within the range? Hold all other problem parameters constant.

c. Explain the lower and upper limit given for the range on the right side of constraint E2. What remains constant as the right side is changed within the range? Hold all other problem parameters constant.

Operations Research Models and Methods
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by Paul A. Jensen