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Below is the computer solution to a linear programming problem linear programming X1 X2 RHS Shadow Price Maximize 40 30 Constraint 1 0.4 0.5
Below is the computer solution to a linear programming problem linear programming
X1 | X2 | RHS | Shadow Price | ||
Maximize | 40 | 30 | |||
Constraint 1 | 0.4 | 0.5 | <= | 20 | 33.3333 |
Constraint 2 | 0.0 | 0.2 | <= | 5 | 0 |
Constraint 3 | 0.6 | 0.3 | <= | 21 | 44.4444 |
Solution | 25 | 20 |
Sensitivity Analysis
Variable | Value | Reduced cost | Original value | Lower bound | Upper bound |
X1 | 25 | 0 | 40 | 24 | 60 |
X2 | 20 | 0 | 30 | 20 | 60 |
Constraint | Shadow Price | Slack/surplus | Original value | Lower bound | Upper bound |
Constraint 1 | 33.3333 | 0 | 20 | 14.00 | 21.50 |
Constraint 2 | 0 | 1 | 5 | 4.00 | Infinity |
Constraint 3 | 44.4444 | 0 | 21 | 18.75 | 30.00 |
Note: The Reduced Cost is often referred to as the Coefficient Sensitivity.
For the above information, answer the following questions. Provide your answers based on the above information and explain your answers in terms of this information.
a) Write the objective function in equation form and write the constraints as equalities or inequalities.
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