Exam 17: Spreadsheet Modeling: an Introduction

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To retain model flexibility while using Solver you must:

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What are the allowable constraint relationship types in optimization problems?

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What in Excel Solver corresponds to the objective function in the algebraic model?

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

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Formulate the following as a linear programming problem. Jan lives in the country and is having a garage sale tomorrow. She has decided to sell some fresh baked goods in conjunction with the sale. She has excellent recipes for apple pie and for apple turnovers. She has 20.83 pounds of apples. Each pie will require 1.6 pounds of apples and each turnover will require 0.22 pounds of apples. She has discovered that she is short of both flour and sugar and does not want to make another trip to the store tonight. She has 5.7 pounds of flour and 200 grams of sugar. Each pie will require 0.6 pounds of flour and 11 grams of sugar. Each turnover will require .02 pounds of flour and 3 grams of sugar. She will sell pies for $6 each and turnovers for $0.75 each. She has decided to make 8 pies at most, because she is concerned about how well they will sell.

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

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Which of the following statements is correct?

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In Linear Programming models, over what quantities do you have control?

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How can the following Linear Program be characterized? Min X + Y Subject to X ? 20 Y ? 5 X + Y ? 40 X, Y ? 0

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What are the steps involved in solving optimization problems?

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The management at Highly Technical Services (HTS)wants to develop a model that will help allocate technicians' time between service calls to government contract customers, private industry contract customers, and new customers. A maximum of 80 hours of technician time is available over the 2-week planning period. To satisfy cash-flow requirements, at least $1000 in revenue (per technician)must be generated during the 2-week period. Technician time for government customers generates $40 per hour, while time for private industry customers generates $30 per hour, and technician time for new customers only generates an average of $5 per hour because in many cases a new customer contact does not provide billable services. To ensure that the new customer contacts are being maintained, the number of new customer contacts must be at least 45% of the government and private industry contract contacts. For the revenue and policy requirements stated, HTS would like to determine how to allocate technician time between regular customers and new customers in order to maximize the total number of customers contacted during the 2-week period. Technicians require an average of 45 minutes for each contract contact and 1 hour for each new customer contact. Develop a linear programming model that will enable HTS to optimally allocate technician time between regular customers and new customers.

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An optimal solution to an optimization problem is always feasible.

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If the solution to an optimization problem violates two constraints but satisfies three, it is a(an)________.

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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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In Linear Programming models, what do you want to do with the objective?

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The Answer Report Target Cell, Adjustable Cell, and Constraint sections all include:

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In the Excel Solver "Add Constraint" box, what two additional choices are available under the relationship operator list besides ≤, ≥, and =?

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Not-equals-to constraints (≠)are allowable in optimization problems.

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Consider the following constraints from a two-variable Linear Program. (1)X ? 0 (2)Y ? 0 (3)X + Y ? 20 (4)2X + 5Y ? 70 If constraints (3)and (4)are binding, what is the optimal solution (X, Y)?

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

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