Exam 1: Introduction to Management Science Models

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Erlang's pioneering work in queuing theory emerged shortly after the start of the twentieth century.The next truly significant work in the field (by Little, et al) came roughly fifty years later.Why the long delay?

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Variable constraints may not include:

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Harold Shein, the accordion teacher, charges $A per hour lesson for a novice and $B (greater than $A) for an advanced student.P percent of novice students become advanced, and R percent of advanced students cease taking lessons.Shein has H hours available each week and prefers that at least half his students are advanced.Create a mathematical model shell (objective function and constraints) of his business.

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If "necessity is the mother of invention," management science's mother was probably:

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Constrained mathematical models contain variable constraints as well as functional constraints.

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Once a mathematical model is complete, you cannot change the problem definition.

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In management science problems, algorithms are:

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The management science team should make certain that management is sure of its objective before developing and solving a model.

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Computer programs exist for all standard management science solution procedures.

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Management science applications do not include:

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Which Excel function finds the value X such that 55% of the probability lies below X from a normal distribution with mean μ\mu = 20 and standard deviation σ\sigma = 3?

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Mathematical modeling is a process that translates observed or desired phenomena into mathematical expression.

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The worst mistake a management science analyst can make in addressing the organization's problem is probably:

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Management science replaces common sense with scientific analysis.

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Which step is not part of the mathematical modeling process?

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Globe Spanners, a local travel agency, is facing a financial "crunch." In September, 1997, most airlines reduced the commissions they pay travel agencies to book airline tickets from ten percent to eight percent.Having initially capped commissions at $25 for a one way ticket and $50 for a round trip in February of 1995, the combination of both changes had reduced Globe Spanners' compensation to less than six percent, below their operating costs for booking air travel.Is this a problem amenable to management science analysis?

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The developer of the simplex method in linear programming is generally regarded to be:

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"Let X = the number of 750 ml bottles of Federini Chablis to be produced and shipped next calendar month." Critically evaluate this as the definition of a decision variable in a management science problem.

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Constrained mathematical models may be characterized as:

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What is the difference between "deterministic" and "stochastic"?

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