Math Questions
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If the change to a right-hand side is within the allowable range, the value of the shadow price remains valid.
Which special LP condition exists in the following model?Z = 2X1 + 3X2STX1 <=5
Whenever proportional changes are made to all the unit profits in a problem, the optimal solution will remain the same.
A shadow price indicates how much the optimal value of the objective function will increase per unit increase in the right-hand side of a constraint.
What is the maximum number of decision variables that can be solved for using the graphical LP method?
What is the allowable range for the objective function coefficient for Activity 3?
If the coefficient for Activity 3 in the objective function changes to $30, then the objective function value:
Every change in the value of an objective function coefficient will lead to a changed optimal solution.
If the change to a right-hand side is within the allowable range, the solution will remain the same.
Which type of problems involve only whole number solutions for the decision variables?
Activity 1 has an objective function coefficient allowable increase of 30. Activity 2 has an objective function coefficient allowable increase of 60. If both activities objective function coefficient increases by 20, what will happen to the final values in the optimal solution?
If the right-hand side of Resource C changes to 130, then:
If the coefficient for Activity 1 in the objective function changes to $40, then the objective function value:
The following linear programming problem has an unbounded feasible region:
What is the allowable range for the objective coefficient for Activity 2?
If the right-hand side of Resource B is increased by 30, and the right-hand side of Resource C is decreased by 10, then:
If the coefficient for Activity 2 in the objective function changes to $400, then the objective function value:
Which one of the following type of constraints is associated with surplus in an LP model?
If the sum of the percentage changes of the right-hand sides does not exceed 100%, then the solution will definitely remain optimal.
What are the variable values for a allocation problem involving which projects are to be funded?