Exam 18: Introduction to Optimization

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What in Excel Solver corresponds to the decision variables in the algebraic model?

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A feasible solution to an optimization problem is a particular combination of decision variables that satisfies some of the constraints.

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Large-scale optimization software can handle how many decision variables and constraints?

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The basic idea for optimization of problems is to find the values of __________ variables that ____________ (minimize)the objective function value,while staying within the _________ .

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Sensitivity reports show what will happen if certain problem parameters are changed from their current values.

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Which Excel tool provides solutions to Linear Programs?

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What are the steps involved in solving optimization problems?

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Sausage and Cheese Ltd.prepares three gift packages containing sausages and cheeses.The "Tasters," "Succulent," and "Gourmet" gift packages contain 3 sausages and 6 cheeses,5 sausages and 4 cheeses,and 6 sausages and 5 cheeses,respectively.There are 2500 sausages and 3000 cheeses available for packing,and demand is unlimited.Profits are $2.50,$3.50,and $4.00 for the "Tasters," "Succulent," and "Gourmet" gift packages,respectively.The goal is to maximize profits.Let T,S,and G represent the number of gift packages produced of type "Tasters," "Succulent," and "Gourmet," respectively.What is the constraint describing the sausage capacity?

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The algebraic formulation of an optimization problem must state what three things?

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A constraint in Excel Solver consists of what three pieces of information?

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When is a Linear Program unbounded?

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The ________________________ for a constraint is the amount the optimal objective value will change if the right-hand-side of the constraint is increased by one unit.

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George Dantzig developed the Simplex Method in 1947.

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When formulating optimization problems,which of the following represent the typical sequence?

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One step in solving optimization problems is to write a problem _______________ in words.

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The text-based formulation of an optimization problem should state what three things?

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A ____________________ contains explicit definitions of the decision variables,an algebraic expression of the objective function,and algebraic statements of the constraints.

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If all constraints are not fully consumed,the final result is not an optimal solution.

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George Dantzig developed the ___________________ in 1947 to solve Linear Programs.

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Explain what differentiates a Linear Program from a Nonlinear Program.

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