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Mr. Gregory White
Mr. Gregory White, Master's Degree
Category: Math Homework
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Experience:  M.A., M.S. Education / Educational Administration
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1. What is the critical path of this network A) Start-A-E-End

Customer Question

What is the critical path of this network?

A) Start-A-E-End
B) Start-A-C-End
C) Start-B-D-End
D) Start-B-E-End

Customers enter the waiting line at a cafeteria on a first come, first served basis in two serving lines. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is two per minute and the average service rate of three customers per minute, what is the average time a customer spends in the queue?
A) 0.50
B) 0.75
C) 2.25
D) 2.50
E) none of the above

The EOQ model assumes,
A) a simple regression model would always be adequate.
B) a moving average model is uncertain.
C) demand is known and constant.
D) an exponential smoothing model would always be best.
E) none of the above

Which of the following is not an assumption in common queuing mathematical models?
A) Arrivals come from an infinite, or very large, population.
B) Arrivals are Poisson distributed.
C) Arrivals are treated on a firstin, firstout basis and do not balk or renege.
D) Service times follow the negative exponential distribution.
E) The average arrival rate is faster than the average service rate.

If events are not mutually exclusive, which of the following are true?
A) P(A or B) = P(A) + P(B) - P(A and B)
B) P(A or B) = P(A) * P(B)
C) P(A or B) = P(A) + P(B)
D) P(A or B) = P(A|B) * P(B)
E) none of the above

A tracking signal was calculated for a particular set of demand forecasts. This tracking signal was positive. This would indicate that:
A) demand is greater than the forecast.
B) demand is less than the forecast.
C) demand is equal to the forecast.
D) the MAD is negative.
E) none of the above

Which of the following would you use to optimize your investment when constraints apply?
A) linear programming
B) decision tree
C) forecasting
D) simulation
E) none of the above

Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

How many units of the raw materials would be used to produce this number of units?

A) 400
B) 200
C) 500
D) 120
E) none of the above

What is the expected value of the following:
X = 1, 2, 3, 4, & 5 and P(X) = 0.01, 0.02, 0.03, 0.04, 0.05, respectively.
A) 0.15
B) 0.00225
C) 0.55
D) none of the above

Sensitivity analysis in linear programming:
A) centers around applications of computer routines to solve LP problems.
B) concerns studies of the extra information associated with the dual LP.
C) concerns changes in the data used to build the LP model and the effects on the optimal solution.
D) all of the above

When using the shortestroute technique, the second step is to:
A) find the nextnearest node to the origin and put the distance in a box by the node.
B) trace the path from the warehouse to the plant.
C) determine the average distance traveled from source to end.
D) find the nearest node to the origin and put a distance box by the node.
E) none of the above

Z is which of the following:
A) used to convert the Poisson distribution to the standard normal distribution.
B) the number of standard deviations from X to the mean.
C) always positive.
D) all of the above

To evaluate quantity discounts, one uses the EOQ model, and modifies the model so that:
A) holding cost is considered as a percentage of unit cost rather than a separable dollar cost.
B) the EOQ is calculated to lie within one of the cost corridors.
C) holding cost is calculated on an "average basis" across the discounts.
D) any one of the above approaches could be used.

An optimal solution to a linear program:
A) will always lie at an extreme point of the feasible region.
B) could be any point in the feasible region of the problem.
C) will always be unique (only one optimal solution possible for any one problem).
D) will always include at least some of each product or variable. E. must always be in whole numbers (integers).

At a university with 1,000 business majors, there are 200 business students who are enrolled in an introductory statistics course. Of these 200, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students who are enrolled in accounting but are not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in accounting?
A) 0.20
B) 0.25
C) 0.30
D) 0.50
E) insufficient information

Expected monetary value (EMV) is:
A) the average or expected monetary outcome of a decision if it can be repeated a large number of times.
B) the average or expected value of the decision if you know what would happen ahead of time.
C) the average or expected value of information if it were completely accurate.
D) the amount you would lose by not picking the best alternative.
E) a decision criterion that places an equal weight on all states of nature.

The maximax decision criterion:
A) minimizes the maximum opportunity loss.
B) maximizes the minimum outcome.
C) yields the best of the worst possible outcomes when the probability is favorable.
D) produces the alternative with the highest possible return.
E) none of the above

The following forecasting model has been developed:

What is the demand for air conditioners when the temperature is 70°F?
A) 360
B) 403
C) 66.
D) 337

In constructing a utility curve,
A) a comparison is made with the different amounts of money at different times.
B) the certainty of a certain amount is compared with the willingness to gamble that amount on a larger amount.
C) one takes the risk out of gambling.
D) inflation plays a critical part in the evaluation.
E) none of the above

Payoff tables are more difficult to use than decision trees when:
A) perfect information is available.
B) formulating a conditional values table.
C) the opportunity loss table is available.
D) a sequence of decisions must be made.
E) all possible outcomes and alternatives are not known.

Demand for iPODs has increased steadily over the past 5 months. Using exponential smoothing with the smoothing constant = 0.3, calculate the forecast for month 6.

What is the forecast for month 6?
A) 68.8
B) 76
C) 67.2
D) none of the above.

Bayesian analysis involves:
A) additional information
B) posterior probability
C) statistical dependency
D) all of the above
E) none of the above

Moving average timeseries forecasting doesn't require which of the following as a prerequisite?
A) forecast for time period in question.
B) actual demand in previous time periods.
C) n as number of periods to average.
D) requires all of the above.

The annual demand for a product is 1,000 units. The company orders 200 units each time an order is placed. The lead time is 6 days, and the company has determined that 20 units should be held as a safety stock. There are 250 working days per year. What is the reorder point?
A) 20
B) 24
C) 44
D) 120
E) none of the above

In order for a linear programming problem to have a unique solution, the solution must exist:
A) at the intersection of the nonnegativity constraints.
B) at the intersection of a nonnegativity constraint and a resource constraint.
C) at the intersection of the objective function and a constraint.
D) at the intersection of two or more constraints.
E) none of the above

The presence of one or more constraints that do not affect the feasible solution region is:
A) redundancy.
B) inequality.
C) unboundedness.
D) a constraint.
E) none of the above

Bus and subway ridership is believed to be related to the number of tourists. These are the data for the past 12 years:

The regression model that reflects the relationship of the tourists to ridership is:
A) .0+17.5X
B) .2+2.1X

D) none of the above

For the problem in 24 above, what is the expected ridership if 10 million tourists visit the city?

A) 5.06 million
B) 2.1 million
C) 23 million
D) 20.99 million

The minimalspanning technique would best be used:
A) by an architect to lay out corridors between offices in a new office building.
B) by a telephone company attempting to lay out wires in a new housing development.
C) by an airline laying out flight routes.
D) none of the above
E) all of the above

Find the shortest route from Node 1 to Node 5 using the shortestroute technique.

A) 350
B) 400
C) 450
D) 600
E) none of the above

In a PERT network, the earliest (activity) start time is the:
A) earliest time that an activity can be finished without delaying the entire project.
B) latest time that an activity can be started without delaying the entire project.
C) earliest time that an activity can start without violation of precedence requirements.
D) latest time that an activity can be finished without delaying the entire project.
E) none of the above

Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probability that the project is finished in 70 weeks or less (round to two decimals)?
A) 0.98
B) 0.48
C) 0.50
D) 0.02
E) none of the above

A) an activity may start before its immediate predecessors have finished.
B) no more than two activities may be performed simultaneously.
C) the total cost of completing an activity in the crash time is higher than the normal cost.
D) when we crash an activity, we complete the activity in the minimum possible time.
E) none of the above

In queuing problems, the size of the calling population is important because:
A) we have models only for problems with infinite calling populations.
B) we have models only for problems with finite calling populations.
C) the size of the calling population determines whether or not the arrival of one customer influences the probability of arrival of the next customer.
D) we will have to consider the amount of space available for the queue.
E) none of the above

Which of the following is not always a step in Monte Carlo simulation:
A) establishing probability distributions
B) building a cumulative probability distribution for each variable
C) setting random number intervals
D) starting an exponential generator
E) all of the above are steps in the simulation.

Using simulation for a queuing problem:
A) would be rare in a realistic situation.
B) is an unreasonable alternative if the arrival rate is not Poisson distributed but can be plotted on a curve.
C) would be appropriate if the service time was not exponential or constant.
D) all of the above

What is the minimax regret decision with the following payoffs depending on the market?

A) Single unit.
B) Duplex.
C) Triplex.
D) Quadraplex.

What is the best decision based on the following table?

A) Single unit.
B) Duplex.
C) Triplex.
D) Quadraplex.

A probability distribution has been developed, and the probability of 2 arrivals in the next hour is 0.20. A random number interval is to be assigned to this. Which of the following would NOT be an appropriate interval?
A) 01-20
B) 21-40
C) 00-19
D) 00-20

Which of the following statements are true:
A) quantitative analysis involves developing a model.
B) defining the problem is the most important step of quantitative analysis.
C) quantitative analysis also considers qualitative factors.
D) all of the above.
E) none of the above.
Submitted: 7 years ago.
Category: Math Homework
Expert:  ExcelSpecialist replied 7 years ago.



Can you post your question in another format (maybe upload it as a word document), because now it's difficult to read and some information is missing (eg. the network mentioned in question 1).


Best regards,