Exam 13: Introduction to Optimization Modeling

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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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The most important solution method for linear programming problems is known as the:

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The solution of a linear programming problem using Microsoft Excel typically involves the following three stages:

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

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What are the decision variables in this problem?

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Nonbinding constraints will always have slack,which is the difference between the two sides of the inequality in the constraint equation.

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If a constraint has the equation If a constraint has the equation   ,then the slope of the constraint line is function line is -2: ,then the slope of the constraint line is function line is -2:

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Every linear programming problem involves optimizing a:

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(A)Determine how the company can meet its goal.Assume that Adam will not produce any units in either month that it cannot sell in that month. (B)Referring to (A),suppose Adam wants to see what will happen if customer demands for each product in each month simultaneously change by a factor 1 + k.Revise the model so that you can use the SolverTable add-in to investigate the effect of this change on total revenue as k varies from -0.3 to 0.3 in increments of 0.1.Does revenue change in a linear manner over this range? Can you explain intuitively why it changes in the way it does?

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

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

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