Exam 5: What-If Analysis for linear programming

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Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered simultaneously

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If the right-hand side of Resource C is increased by 40,and the right-hand side of Resource B is decreased by 20,then:

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When maximizing profit in a linear programming problem,the allowable increase and allowable decrease columns in the sensitivity report make it possible to find the range over which the profitability does not change

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  -What is the allowable range for changes in the objective coefficient for Activity 2? -What is the allowable range for changes in the objective coefficient for Activity 2?

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When a change occurs in the right-hand side values of one of the constraints,a proportional change will occur in one of the coefficients of the objective function

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If the objective coefficients of Activity 2 and Activity 3 are both decreased by $100,then:

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Every change in the value of an objective function coefficient will lead to a changed optimal solution

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  -What is the allowable range for the objective function coefficient for Activity 3? -What is the allowable range for the objective function coefficient for Activity 3?

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In linear programming,what-if analysis is associated with determining the effect of changing:

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When a change in the value of an objective function coefficient remains within the allowable range,the optimal solution will also remain the same

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A shadow price reflects which of the following in a maximization problem?

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If the right-hand side of Resource A changes to 10,then the objective function value:

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The purpose of a linear programming study is to help guide management's final decision by providing insights

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According to the 100% rule for simultaneous changes in objective function coefficients,if the sum of the percentage changes exceeds 100%,the optimal solution definitely will change

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A parameter analysis report re-solves the problem for a whole range of values of a data cell

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  -What is the allowable range of the right-hand-side for Resource A? -What is the allowable range of the right-hand-side for Resource A?

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Which parameter is most sensitive to an increase in its value?

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If the coefficient for Activity 1 in the objective function changes to $50,then the objective function value:

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The allowable range gives ranges of values for the objective function coefficients within which the values of the decision variables are optimal

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Whenever proportional changes are made to all the unit profits in a problem,the optimal solution will remain the same

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