Exam 5: What-If Analysis for Linear Programming

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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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If the change to a right-hand side is within the allowable range,the value of the shadow price remains valid.

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

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The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate.

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Solver Table can be used to investigate the changes in how many data cells at a time?

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If the sum of the percentage changes of the right-hand sides does not exceed 100%,then the solution will definitely remain optimal.

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Figure Figure   -What is entered as the row input cell in the Solver Table dialogue box? -What is entered as the row input cell in the Solver Table dialogue box?

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

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

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

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

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

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A shadow price tells how much a decision variable can be increased or decreased without changing the value of the solution.

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

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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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