Exam 15: Introduction to Simulation Modeling

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Each different set of values obtained for the uncertain quantities in a simulation model can considered to be:

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Use @Risk simulation add-in to analyze the sweatshirt sales.Do this for normal distributions,where we assume that the regular demand is normally distributed with mean 10,000 and standard deviation 1500,and that the demand at the reduced price is normally distributed with mean 5,000 and standard deviation 1500.

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Single simulation replication Single simulation replication    Single simulation replication

We sometimes use discrete distributions in place of continuous distributions:

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If we want to model the time it takes to serve a customer at a bank,we will probably choose

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It is common in computer simulations to estimate the mean of some distribution by the average of the simulated observations.The usual practice is then to accompany this estimate with a confidence interval,which indicates the accuracy of the estimate.

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Data tables in spreadsheet simulations are useful for taking a "prototype" simulation and replicating its key results a desired number of times.

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(A)Use a simulation model to help the institute decide how many violins they must reserve with the instrument company.Consider five different possible reservation quantities: 400,500,600,700,800.Which of these quantities yields the highest total revenue,net of instrument costs? (B)Which simulation yields the largest median total revenue? (C)Which simulation has the most risk as measured by spread or dispersion in the data? Please state clearly what statistic you used to answer this question. (D)Are there any simulations in which there is at least a 1 in 20 (i.e.,5%)chance of getting a negative total revenue? Briefly explain in one sentence. (E)For each simulation what is the probability of exceeding $175,000 in total revenue (approximate these numbers as closely as possible from the data given in the above table).Please put your answer in the following table: (A)Use a simulation model to help the institute decide how many violins they must reserve with the instrument company.Consider five different possible reservation quantities: 400,500,600,700,800.Which of these quantities yields the highest total revenue,net of instrument costs? (B)Which simulation yields the largest median total revenue? (C)Which simulation has the most risk as measured by spread or dispersion in the data? Please state clearly what statistic you used to answer this question. (D)Are there any simulations in which there is at least a 1 in 20 (i.e.,5%)chance of getting a negative total revenue? Briefly explain in one sentence. (E)For each simulation what is the probability of exceeding $175,000 in total revenue (approximate these numbers as closely as possible from the data given in the above table).Please put your answer in the following table:    (F)Considering your answers for (A)through (E),please state how many instruments you think should be reserved in advance and explain why. (G)Suppose the institute is able to negotiate with the instrument company to reduce the cost for a violin from $500 to $350.Re-run the simulation model using the same reservation quantities (but with $350 for the unused instrument cost).Has the reservation quantity that yields the highest average revenue changed? If so,please explain why this has occurred. (F)Considering your answers for (A)through (E),please state how many instruments you think should be reserved in advance and explain why. (G)Suppose the institute is able to negotiate with the instrument company to reduce the cost for a violin from $500 to $350.Re-run the simulation model using the same reservation quantities (but with $350 for the unused instrument cost).Has the reservation quantity that yields the highest average revenue changed? If so,please explain why this has occurred.

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In order to generate random numbers in Excel from a discrete distribution with a finite number of possible values and corresponding probabilities,we can use

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Which of the following statements is true regarding a simulation model?

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Which of the following statements are true?

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Assume that x is a random number between 0 and 1,and that the number of units expected to be sold is uniformly distributed between 300 and 500.Then,sales are given by the expression

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Use simulation to analyze the supplier's problem.Determine how many sweatshirts he should produce to maximize the expected profit.

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Company experts believe the development time will be from 5 to 9 months,but they have absolutely no idea which of these will result.

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The uniform distribution is bounded by a minimum and a maximum,and all values between these two extremes are equally likely.

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Company experts believe the development time will from 5 to 9 months.They believe the probabilities of the extremes (5 and 9 months)are both 10%,and the probabilities will vary linearly from those endpoints to a most likely value at 7 months.

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Spreadsheet simulation modeling is quite similar to the other modeling applications in that it begins with input variables and then relates these with appropriate Excel formulas to produce output variables of interest.

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One of the primary advantages of simulation models that they enable managers to answer what-if questions about changes in systems without actually changing the systems themselves.

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It is simple to generate a uniformly distributed random number with a minimum and maximum other than 0 and 1.For example,the formula =150+100 It is simple to generate a uniformly distributed random number with a minimum and maximum other than 0 and 1.For example,the formula =150+100   RAND()generates a number uniformly distributed between RAND()generates a number uniformly distributed between

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When we maximize or minimize the value of a decision variable by running several simulations simultaneously,we have found an optimal solution to the problem and attitude toward risk becomes irrelevant.

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The normal distribution is often used in simulation models because it is the most common distribution in statistics and it does not allow negative values.

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