Exam 5: Advanced Linear Programming Applications

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In data envelopment analysis, the percentage of an individual operating unit's resources that are available to the composite operating unit is the

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If it is optimal for both players in a two-person, zero-sum game to select one strategy and stay with that strategy regardless of what the other player does, the game

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It is possible for DEA to show all operating units to be relatively inefficient.

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Portfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio provides an annual return of no less than 3%. Formulate the appropriate linear program. Portfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio provides an annual return of no less than 3%. Formulate the appropriate linear program.

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Revenue management methodology was originally developed for

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Portfolio manager Max Gaines needs to develop an investment portfolio for his conservative clients. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio provides the best return possible with a minimum risk. Formulate the maximin linear program. Portfolio manager Max Gaines needs to develop an investment portfolio for his conservative clients. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio provides the best return possible with a minimum risk. Formulate the maximin linear program.

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Consider the following two-person, zero-sum game. Payoffs are the winnings for Company X. Formulate the linear program that determines the optimal mixed strategy for Company X. Consider the following two-person, zero-sum game. Payoffs are the winnings for Company X. Formulate the linear program that determines the optimal mixed strategy for Company X.

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Revenue management methodology was originally developed for the banking industry.

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Consider a two-person, zero-sum game where the payoffs listed below are the winnings for Player A. Identify the pure strategy solution. What is the value of the game? Consider a two-person, zero-sum game where the payoffs listed below are the winnings for Player A. Identify the pure strategy solution. What is the value of the game?

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In portfolio models, risk is minimized by diversification.

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DEA is used to measure the relative efficiency of two (or more) units in different industries, such as a bank and a school.

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To develop a portfolio that provides the best return possible with a minimum risk, the linear programming model will have an objective function which

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The Eastern Washington County School Corporation is interested in comparing educational performance at four elementary schools and has hired you to prepare a DEA model to do so. After detailed conversations with the corporation administrative staff and the building principals, you have isolated the following input and output measurements: The Eastern Washington County School Corporation is interested in comparing educational performance at four elementary schools and has hired you to prepare a DEA model to do so. After detailed conversations with the corporation administrative staff and the building principals, you have isolated the following input and output measurements:    Data is collected for each school on each measure    Develop the DEA model that would evaluate the efficiency of Ralston Elementary School. Data is collected for each school on each measure The Eastern Washington County School Corporation is interested in comparing educational performance at four elementary schools and has hired you to prepare a DEA model to do so. After detailed conversations with the corporation administrative staff and the building principals, you have isolated the following input and output measurements:    Data is collected for each school on each measure    Develop the DEA model that would evaluate the efficiency of Ralston Elementary School. Develop the DEA model that would evaluate the efficiency of Ralston Elementary School.

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The overall goal of portfolio models is to create a portfolio that provides the best balance between

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If a pure strategy solution exists for a two-person, zero-sum game, it is the optimal solution to the game.

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A DEA linear programming model involving 4 input measures and 3 output measures will have

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DEA does not necessarily identify the operating units that are relatively efficient.

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The goal of portfolio models is to create a portfolio that provides the best balance between risk and return.

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DEA will show all but one operating unit to be relatively inefficient in the case where an operating unit producing the most of every output and also consumes the least of every input.

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Consider a two-person, zero-sum game where the payoffs listed below are the winnings for Company X. Identify the pure strategy solution. What is the value of the game? Consider a two-person, zero-sum game where the payoffs listed below are the winnings for Company X. Identify the pure strategy solution. What is the value of the game?

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