In linear programming, what-if analysis is associated with determining the effect ofchanging:1. objective function coefficients.2. right-hand side values of constraints.3. decision variable values.A) I and II only.B) II and III only.C) I, II and III.D) II and III only.E) None of the choices is correct
Question
In linear programming, what-if analysis is associated with determining the effect ofchanging:1. objective function coefficients.2. right-hand side values of constraints.3. decision variable values.A) I and II only.B) II and III only.C) I, II and III.D) II and III only.E) None of the choices is correct
Solution
In linear programming, what-if analysis is associated with determining the effect of changing:
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Objective function coefficients: This involves changing the coefficients of the variables in the objective function and observing the effect on the optimal solution.
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Right-hand side values of constraints: This involves changing the values on the right-hand side of the constraints and observing the effect on the feasible region and the optimal solution.
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Decision variable values: This is not typically part of what-if analysis in linear programming. The decision variable values are the result of the model given the objective function and constraints. They are not parameters that you would typically change in a what-if analysis.
So, the correct answer is A) I and II only.
Similar Questions
What-if analysis:A) may involve changes in the objective function coefficients.B) requires that only one parameter change while the rest are held fixed.C) may involve changes in the right-hand side values.D) All of the choices are correct.E) None of the choices is correct.
Which of the following are benefits of what-if analysis?A) It pinpoints the sensitive parameters of the model.B) It gives the new optimal solution if conditions change.C) It tells management what policy decisions to make.D) All of the choices are correct.E) None of the choices is correct
change in the value of the objective function value.change in the right hand side of a constraint.change in the value of the optimal solution value.change in the objective function coefficient
analysis that determines how changing one input will affect an outcome variable.
The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem Xi is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the modified model is that the same decision be applied to project 2 and project 5. If project 2 is selected then project 5 is selected. And if project 2 is not selected then project 5 is not selected. So, modify the constraint on decision variables x2 and x5 to represent this updated condition. Leave the other constraints (budget and personnel) the same. Then answer the following question.Which projects are selected?Group of answer choicesProject 1Project 2Project 3Project 4Project 5Project 6Project 7Project 8
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