Exam 5: What-If Analysis for linear programming

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  -What is the optimal objective function value for this problem? -What is the optimal objective function value for this problem?

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E

If the optimal solution will remain the same over a wide range of values for a particular coefficient in the objective function,then management will want to take special care to narrow this estimate down

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What-if analysis:

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If the coefficients of Activity 1 and Activity 2 in the objective function are both increased by $10,then:

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When even a small change in the value of a coefficient in the objective function can change the optimal solution,the coefficient is called:

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If the right-hand side of Resource C changes to 140,then the objective function value:

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If the right-hand side of Resource B changes to 10,then:

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If a change is made in only one of the objective function coefficients:

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  -What is the optimal objective function value for this problem? -What is the optimal objective function value for this problem?

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Changing the objective function coefficients may or may not change the optimal solution,but it will always change the value of the objective function

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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:

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If the coefficient for Activity 1 in the objective function changes to $40,then the objective function value:

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If the right-hand side of Resource C changes to 130,then:

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A parameter analysis report can be used to easily investigate the changes in any number of data cells

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If the change to a right-hand side is within the allowable range,the solution will remain the same

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It is usually quite easy to find the needed data for a linear programming study

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If the right-hand side value of a constraint in a two variable linear programming problems is changed,then:

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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

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The term "allowable range for the right-hand-side" refers to coefficients of the objective function

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The term "allowable range for an objective function coefficient" refers to a constraint's right-hand side quantity

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