Exam 13: Introduction to Optimization Modeling

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Suppose an objective function has the equation: Suppose an objective function has the equation:   . Then the slope of the objective function line is 2. . Then the slope of the objective function line is 2.

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The term nonnegativity refers to the condition in which the

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There is often more than one objective in linear programming problems.

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An efficient algorithm for finding the optimal solution in a linear programming model is the _____ method.

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In general,the complete solution of a linear programming problem involves three stages: formulating the model,invoking Solver to find the optimal solution,and performing sensitivity analysis.

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Linear programming problems can always be formulated algebraically,but not always on a spreadsheet.

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All optimization problems have

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A decision support system is a user-friendly system where an end user can enter inputs to a model and see outputs,but need not be concerned with technical details.

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The proportionality property of LP models means that if the level of any activity is multiplied by a constant factor,then the contribution of this activity to the objective function,or to any of the constraints in which the activity is involved,is multiplied by the same factor.

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The value to be optimized in an optimization model (such as profit)is called the objective.

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If a solution to an LP problem satisfies all of the constraints,then it must be feasible.

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Unboundedness refers to the situation in which the LP model has been formulated in such a way that the objective function is unbounded - that is,it can be made as large (for maximization problems)or as small (for minimization problems)as we wish.

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All linear programming problems should have a unique solution,if they can be solved.

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The divisibility property of linear programming means that a solution can have both

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What is the equation of the line representing this constraint? What is the equation of the line representing this constraint?

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Consider the following linear programming problem: Minimize: Consider the following linear programming problem: Minimize:   Subject to:         The above linear programming problem Subject to: Consider the following linear programming problem: Minimize:   Subject to:         The above linear programming problem Consider the following linear programming problem: Minimize:   Subject to:         The above linear programming problem Consider the following linear programming problem: Minimize:   Subject to:         The above linear programming problem Consider the following linear programming problem: Minimize:   Subject to:         The above linear programming problem The above linear programming problem

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Suppose a firm must at least meet minimum expected demands of 60 for product x and 80 of product y.An algebraic formulation of these constraints is

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Reduced costs indicate how much the objective coefficient of a decision variable that is currently 0 or at its upper bound must change before that the value of that variable changes.

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A feasible solution is a solution that satisfies all of the constraints.

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A feasible solution does not have to satisfy any constraints as long as it is logical.

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