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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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