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1) Table 10-4
Table 10-4 represents a solution to a goal programming problem. There are three goals
(each represented by a constraint). Goal number 3 represents a resource usage goal.
How much of this resource would be used by this solution?
A) 50 units
B) 70 units
C) 2500 units
D) 240 units
E) None of the above
2) Table 14-1
The following data consists of a matrix of transition probabilities (P) of three competing
companies, and the initial market share (0). Assume that each state represents a
company (Company 1, Company 2, Company 3, respectively) and the transition
probabilities represent changes from one month to the next.
Using the data in Table 14-1, determine Company 1's estimated market share in the next
period.
A) 0.10
B) 0.20
C) 0.42
D) 0.47
E) None of the above
3) Table M7-1
According to Table M7-1, all of the resources are being used. If the amount of resource
A were changed from 64 to 65, then the maximum possible total profit would be
A) 416.
B) 417.
C) 416.5.
D) 415.5.
E) None of the above
4) Historical data indicates that only 20% of cable customers are willing to switch
companies. If a binomial process is assumed, then in a sample of 20 cable customers,
what is the probability that between 2 and 5 (inclusive) customers are willing to switch
companies?
A) 0.1369
B) 0.1746
C) 0.0377
D) 0.7350
E) 0.500
5) Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15,
12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for the next day
using a three-day weighted moving average where the weights are 3, 1, and 1 (the
highest weight is for the most recent number).
A) 12.8
B) 13.0
C) 70.0
D) 14.0
E) None of the above
6) The Hurwicz criterion is also called the criterion of
A) regret.
B) equality.
C) optimism.
D) realism.
E) pessimism.
7) Given an activity's optimistic, most likely, and pessimistic time estimates of 3, 7, and
11 days respectively, compute the expected time for this activity.
A) 5
B) 6
C) 7
D) 12
E) None of the above
8) The school of business has 3 fax machines. The toner in each machine needs to be
changed after about 5 hours of use. There is one unit secretary who is responsible for
the fax machine maintenance. It takes him 15 minutes to replace the toner cartridge.
What is the average number of fax machines in the queue?
A) 1.1658 fax machines
B) 2.9904 fax machines
C) .1563 fax machine
D) .0142 fax machine
E) None of the above
9) In an integer programming problem, if it is desired to have variable X be exactly
twice the value of variable Y, the constraint would be written
A) 2X + Y = 0.
B) X + 2Y = 0.
C) 2X - Y = 0.
D) X - 2Y = 0.
E) None of the above
10) When formulating transportation LP problems, the objective function usually deals
with the
A) number of items to be transported.
B) choice of transportation mode (e.g., truck, airplane, railroad, etc.).
C) shipping cost or distances associated with transporting goods.
D) number of origins and destinations.
E) capacities of origins and requirements of destinations.
11) To determine the EOL with the normal distribution,
A) one must compute D.
B) one must compute Z.
C) one must use the standard normal table.
D) All of the above
E) None of the above
12) An integer programming (maximization) problem was first solved as a linear
programming problem, and the objective function value (profit) was $253.67. The two
decision variables (X, Y) in the problem had values of X = 12.45 and Y = 32.75. Which
of the following must be true for the optimal integer solution to this problem?
A) X = 12 Y = 32
B) X = 12 Y = 33
C) X = 12
D) Y = 32
E) None of the above
13) Table 10-6
The profit function for a set of two electronics products can be expressed by the
following expression: X1
2 -2X1 -3X2 + 2X2
2 where X1 = the number of product 1 units
produced and X2 = the number of product 2 units produced. At least 10 units of X1 must
be produced and at least 20 units of X2 must be produced. No more than 50 units total
can be produced.
What type of mathematical programming model is required for the problem described
in Table 10-6?
A) An integer programming model
B) A goal programming model
C) A nonlinear programming model
D) A zero-one integer programming model
E) A mixed-integer programming model
14) The value of the determinant is
A) not able to be determined.
B) 0.
C) 80.
D) -80.
E) None of the above
15) Technically, to achieve Six Sigma quality, there would have to be fewer than
________ defects per million opportunities.
A) 6
B) 166,667
C) 667
D) 67
E) 3.4
16) The U.S. government award for quality achievement is the
A) Deming Prize.
B) Shewhart Symbol of Excellence.
C) Malcolm Baldrige National Quality Award.
D) Bush Award for Quality Management.
E) Six Sigma Certification.
17) Table M2-3
The above information describes a shortest-route problem with the distance in miles.
How many stages will this dynamic programming problem have?
A) 8
B) 4
C) 3
D) 2
E) 1
18) In the transportation problem, using the stepping-stone method,
A) you may not skip over an empty cell.
B) you may not skip over a used cell.
C) your path may not cross over itself.
D) if you have an optimal solution and get an improvement index of zero, there is
another optimal solution.
E) None of the above
19) A professor decides to hold a three hour window open for student advising. The
professor has 15 advisees. He's unsure if each advisee will show up, and its possible
that a single advisee could show up multiple times during the 3 hour window. On
average, the professor will spend 12 minutes with each student. He usually expects each
student to arrive once during the 3 hour window.
(a) What proportion of the time can the professor expect to be busy during the window?
(b) What is the expected number of students in queue during the window?
(c) What is the expected wait time in queue during the window?
20) Table M8-3
The following improvements are proved for Table M8-3:
In Table M8-3, suppose shipping cost from source C to point 2 was 8, which below
would be true?
A) There would be multiple optimal solutions.
B) The minimum possible total cost would decrease.
C) The minimum possible total cost would increase.
D) Another dummy column would be needed.
E) None of the above
