Exam 9: Optimization and Simulation Modeling

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What is a translator function?

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A transportation problem has a nonnegativity constraint; what two other constraints does it have?

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A computer simulation is generally appropriate for process analysis if the objective is to observe the system over a period of time.

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Only minimization problems can be solved graphically.

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A process has two constraints.Constraint A is 2X + 2Y £ 14.Constraint B is 4X + 10Y £ 40.All variables are nonnegative.What are the corner points of the feasible region?

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Random chance makes it difficult to predict outcomes in complex,real-world operating environments.

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If the maximization objective function is evaluated at three corner points of a graphically solved LP problem,and Point A yields a profit of $20,000,Point B yields a profit of $55,000,and point C yields a profit of $41,000,what point produces the optimum solution?

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Constraints place limits or restrictions on a given optimization problem.

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Sam's Sawmill makes two products.One product is a wood bench (B)and the other product is a wood stool (S).Sam has a sawmill,so having the right material on hand is never a problem.However,production is limited.Sam's brother Chris is the carpenter,and he cannot work more than 240 hours a month.It takes Chris 4 hours to make a bench and 3 hours to make a stool.Sam had a limited budget,so he installed a small paint booth for staining the products.Sam does the painting,but he only has 100 hours a month available.It takes Sam 2 hours to paint a bench and 1 hour to paint a stool.Sam makes $7 for every bench and $5 profit for every stool. What is the objective function for Sam's product mix problem?

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A product-mix problem often involves maximizing profits by producing the optimal combination of items produced.

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The optimal solution of a linear programming problem will always be outside of the feasible regions.

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Extremely complex linear programs can be solved with which mathematical tool?

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Identify three conditions when computer simulation is an appropriate tool for process analysis.

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The shadow price of constraint will be provided on what Microsoft Excel output?

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Consider the following constraint: X3 ³ 33.This implies that at most 33 units of product X3 can be produced.

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The optimal solution of a linear programming problem will always occur on a corner of the feasible region.

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One component of a linear programming problem assumes that all mathematical equations or inequalities are represented as straight lines.

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Modeling the check-in process at a hotel is an example of a discrete-event simulation.

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For the following sensitivity report,how much would your objective function increase if you acquired more of constraint A? How much would your objective function increase if you acquired more of constraint B? For the following sensitivity report,how much would your objective function increase if you acquired more of constraint A? How much would your objective function increase if you acquired more of constraint B?    A.The shadow price is 5 for constraint B,so the objective function will increase $15 for every additional unit of constraint A.The shadow price is 5 for constraint B,so the objective function will increase $15 for every additional unit of constraint

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What is an advantage of using spreadsheet-based simulation models?

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