Exam 13: Introduction to Optimization Modeling

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A 12-month rolling planning horizon is a single model where the decision in the first period is implemented.

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All optimization problems include decision variables,one objective function,and two constraints.

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Conditions that must be satisfied in an optimization model are

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There are two primary ways to formulate a linear programming problem: the traditional algebraic way and with spreadsheets.

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In determining the optimal solution to a linear programming problem graphically,if the goal is to maximize the objective,we pull the objective function line down until it contacts the feasible region.

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When formulating a linear programming spreadsheet model,we specify the constraints in a Solver dialog box,since Excel does not show the constraints directly.

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In some cases,a linear programming problem can be formulated such that the objective can become infinitely large (for a maximization problem)or infinitely small (for a minimization problem).This type of problem is said to be

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There are generally two steps in solving an optimization problem: model development and optimization.

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The optimal solution to any linear programming model is the

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A rolling planning horizon is a multiperiod model where only the decision in the first period is implemented,and then a new multiperiod model is solved in succeeding periods.

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Suppose the allowable increase and decrease for an objective coefficient of a decision variable that has a current value of $50 are $25 (increase)and $10 (decrease).If the coefficient were to change from $50 to $60,the optimal value of the objective function would not change.

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Linear programming models have three important properties

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A Solver's sensitivity report shows sensitivity to objective coefficients and right sides of the constraints.

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When formulating a linear programming spreadsheet model,there is a set of designated cells that play the role of the decision variables.These are called the objective cells.

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In most cases,when solving linear programming problems,we want the decision variables to be

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When the proportionality property of LP models is violated,we generally must use non-linear optimization.

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In an optimization model,there can only be one

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The additivity property of linear programming implies that the contribution of any decision variable to the objective is of/on the levels of the other decision variables.

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A linear programming problem with _____decision variable(s)can be solved by a graphical solution method.

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

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