Exam 22: Linear Programming

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________ is an assumption that the decision variables must be either positive or zero.

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Nonnegativity

Only corner points should be considered for the optimal solution to a linear programming problem.

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________ are the limitations that restrict the permissible choices for the decision variables.

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Constraints

One assumption of linear programming is that a decision maker cannot use negative quantities of the decision variables.

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The ________ represents all permissible combinations of the decision variables in a linear programming model.

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Each coefficient or given constant is known by the decision maker with ________.

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A binding constraint has slack but does not have surplus.

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Which of the following statements regarding linear programming is NOT true?

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________ is the amount by which the left-hand side exceeds the right-hand side in a linear programming model.

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A(n)________ is a value that the decision maker cannot control and that does not change when the solution is implemented.

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Decision variables are represented in both the objective function and the constraints while formulating a linear program.

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Linear programming is useful for allocating scarce resources among competing demands.

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A modeler is limited to two or fewer decision variables when using the ________.

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Suppose that the optimal values of the decision variables to a two-variable linear programming problem remain the same as long as the slope of the objective function lies between the slopes of the following two constraints: 2X1 + 3X2 < 26 2X1 + 2X2 < 20 The current objective function is: 8X1 + 9X2 = Z Which of the following statements about the range of optimality on c1 is TRUE?

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A(n)________ forms the optimal corner and limits the ability to improve the objective function.

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A(n)________ is the marginal improvement in the objective function value caused by relaxing a constraint by one unit.

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For the line that has the equation 4X1 + 8X2 = 88,an axis intercept is

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For an = constraint,only points ________ are feasible solutions.

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The ________ problem is a one-period type of aggregate planning problem,the solution of which yields optimal output quantities of a group of products or services,subject to resource capacity and market demand conditions.

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Briefly describe the meaning of a shadow price.Provide an example of how a manager could use information about shadow prices to improve operations?

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