Exam 17: Spreadsheet Modeling: an Introduction

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In the "Solver Parameters" box of Excel Solver, what is clicked to actually solve the problem?

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How can the following Linear Program be characterized? Min X + 2Y Subject to X ? 20 X, Y ? -40

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Consider the mathematical program below. Which of the following choices represents an upper bound to the problem? Max 10 - X2 Subject to X ? 3

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The constraints in an optimization model must all be of one type, for example, all ≤, all ≥, or all =.

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

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

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Solver's check for a model being linear is not perfect.

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The advantage of formal optimization modeling is that it can simultaneously consider the effects of alternate decisions to produce the best overall decision according to the objective.

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A portfolio manager in charge of a bank portfolio has $10 million to invest. The securities available for purchase, as well as their respective quality ratings, maturities, and yields, are shown in the table below: A portfolio manager in charge of a bank portfolio has $10 million to invest. The securities available for purchase, as well as their respective quality ratings, maturities, and yields, are shown in the table below:    The bank places the following policy limitations on the portfolio manager's actions: 1. Government and agency bonds must total at least $4 million. 2. The average quality of the portfolio cannot exceed 1.4 on the bank's quality scale. (Note that a low number on this scale means a high-quality bond.) 3. The average years to maturity of the portfolio must not exceed 5 years. Assuming that the objective of the portfolio manager is to maximize after-tax earnings and that the tax rate is 50%, formulate a linear program that can be used to determine how much money to invest in each type of bond. The bank places the following policy limitations on the portfolio manager's actions: 1. Government and agency bonds must total at least $4 million. 2. The average quality of the portfolio cannot exceed 1.4 on the bank's quality scale. (Note that a low number on this scale means a high-quality bond.) "3. The average years to maturity of the portfolio must not exceed 5 years. Assuming that the objective of the portfolio manager is to maximize after-tax earnings and that the tax rate is 50%, formulate a linear program that can be used to determine how much money to invest in each type of bond."

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The four steps to setting up an optimization problem with Excel Solver are easy if you have previously completed the algebraic formulation and spreadsheet model.

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The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and ground pork. The ground beef contains 80 percent meat and 20 percent fat, and costs the shop 80 cents per pound; the ground pork contains 68 percent meat and 32 percent fat, and costs 60 cents per pound. Formulate a linear program to determine the amount each kind of meat that the shop should use in each pound of meat loaf if it wants to minimize its cost and to keep the fat content of the meat loaf to no more than 25 percent.

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

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Human intelligence is not needed in which of the following steps of solving optimization problems?

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Strict inequalities (<, >)are not used in optimization problems.

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

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Formulate the following as a linear program. Frank's art class must provide instructions on painting (P), carving (C), and clay modeling (M). Frank has a limited material budget of $3,000. The costs per student usage for the supplies are $25, $18, and $14, respectively. Frank must provide instruction and practice opportunities for each method. What is the optimum combination of art supplies Frank should procure for the class?

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A leather goods factory manufactures five styles of handbags, whose variable contributions are $30, $40, $45, $25, and $60 per dozen, respectively. The products must pass through four work centers and the man-hours available in each are: clicking (700), paring (600), stitching (400), and finishing (900). Hourly requirements for each dozen handbags are: A leather goods factory manufactures five styles of handbags, whose variable contributions are $30, $40, $45, $25, and $60 per dozen, respectively. The products must pass through four work centers and the man-hours available in each are: clicking (700), paring (600), stitching (400), and finishing (900). Hourly requirements for each dozen handbags are:    To prevent adding to inventory levels already on hand, the production manager, after reviewing the weekly sales forecasts, has specified that no more than 100, 50, 90, 70, and 30 dozen of each style respectively may be produced. Each handbag is made from five materials as specified in the following table:    Formulate a linear program to determine the production policy that will maximize profits. To prevent adding to inventory levels already on hand, the production manager, after reviewing the weekly sales forecasts, has specified that no more than 100, 50, 90, 70, and 30 dozen of each style respectively may be produced. Each handbag is made from five materials as specified in the following table: A leather goods factory manufactures five styles of handbags, whose variable contributions are $30, $40, $45, $25, and $60 per dozen, respectively. The products must pass through four work centers and the man-hours available in each are: clicking (700), paring (600), stitching (400), and finishing (900). Hourly requirements for each dozen handbags are:    To prevent adding to inventory levels already on hand, the production manager, after reviewing the weekly sales forecasts, has specified that no more than 100, 50, 90, 70, and 30 dozen of each style respectively may be produced. Each handbag is made from five materials as specified in the following table:    Formulate a linear program to determine the production policy that will maximize profits. Formulate a linear program to determine the production policy that will maximize profits.

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Consider the Linear Program below. Which of the choices represents the best (tightest)lower bound? Max 2X + Y Subject to X + Y ? 10 X, Y ? 0

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Define feasible solution, infeasible solution, and optimal solution.

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With Excel Solver, the range for the Changing Cells box must be entered with absolute references ($ signs).

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