Exam 17: Spreadsheet Modeling: an Introduction

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In Linear Programming, users have control over quantities called parameters.

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What is the optimal solution to the following linear program? Max 2X + Y Subject to 2X + 2Y ? 40 X + Y ? 10 X ? 0 Y ? 0

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What are the three reports available when Solver has successfully found an optimal solution?

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Excel's Solver Add-In solves _____________ problems.

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Formulate the following as a linear program. Joe's Sports Shop is sponsoring a weekly boomerang-throwing contest as part of its spring promotions. Anyone may enter, but the boomerangs used must be purchased at the shop. Demand is unlimited. Two models can be made: the regular model (with a profit of $2 each)and the super model (which yields a $5 profit). However, production facilities are limited. A regular boomerang requires 1 hour of carving and 2 hours of finishing, while a super boomerang takes 3 hours to carve and 2 hours to finish. The skilled crafters employed by the shop have indicated they will spend no more than 75 hours carving and 100 hours finishing boomerangs per week. The owner wishes to allocate production in order to maximize profits.

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Capital Co. is considering which of five different projects to undertake in order to maximize its net present value (NPV). Define Xi as a binary (0-1)variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1,2,3,4,5. The NPV and required capital (in thousands)for each project are listed below. Capital Co. is considering which of five different projects to undertake in order to maximize its net present value (NPV). Define X<sub>i</sub> as a binary (0-1)variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1,2,3,4,5. The NPV and required capital (in thousands)for each project are listed below.   Which of the following represents the constraint stating that project 1 can be undertaken only if project 5 is undertaken? Which of the following represents the constraint stating that project 1 can be undertaken only if project 5 is undertaken?

(Multiple Choice)
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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 objective function for this linear program?

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In the "Solver Options" box of Excel Solver, what should be checked to ensure that all decision variables are ≥ 0?

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When was the Simplex Method developed?

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Consider the following three functions: f(x)= 6x2 G(x, y)=4x - 3y + 19 H(x, y)= 3xy Which of the following is true regarding the linearity of the functions?

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Formulate the following as a linear program. Dane's aircraft muffler manufacturers have 1000 linear feet of steel on hand to manufacture the three top selling muffler sets. Super mufflers (S)provide $35 profit and common (C)mufflers' profit margin is $31, while the deluxe (D)muffler set provides a $40 profit margin. It takes 31 hours to make the super muffler, 29 hours to manufacture the common muffler, and 40 hours to build the deluxe muffler. If Dane is limited to 200 hours a month what is the optimum combination of mufflers to manufacture to maximize his profits?

(Essay)
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Dane's aircraft muffler manufacturers have 1500 linear feet of steel on hand to manufacture the three top selling muffler sets. Super mufflers (S)provide $285 profit and common (C)mufflers' profit margin is $310, while the deluxe (D)muffler set provides a $400 profit margin. It costs Dane $310, $295, and $400 to build each muffler set, respectively. What is the objective function of Dane's aircraft muffler manufacturing?

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Slack values for non-binding constraints are equal to 0.

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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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Uhura Enterprises provides consulting services for customers. Consultants are brought in for two-hour shifts. A consultant will spend one full hour with a customer. The customers remain for that hour and then leave. Each consultant is paid $25 per hour. Let Xi represent the number of consultants starting their shift at hour i, (i = 1,2,3,4). The firm wishes to minimize salary costs while satisfying demand. Customer demand is as follows. 1:00-2:00 \quad 4 2:00-3:00 \quad 5 3:00-4:00 \quad 10 4:00-5:00 \quad 4 5:00-6:00 \quad 8 Suppose that two of the customers scheduled to arrive at 1:00 could be rescheduled to arrive at 2:00. Which of the following sets of constraints would allow for this rescheduling option? (In the options below, q and qi are binary (0-1)variables.)

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In Solver, the __________ is the cell that you want to maximize or minimize.

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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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The two primary Excel tools for diagnosing problems in models are ___________________.

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Which of the following is not one of the steps in setting up the Solver optimization problem?

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

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