1) For the questions which follow, there are six cities (City 1-City 6) serviced by a
particular airline. Limited routes are available, and the distances for each of these routes
are presented in the table below.
Which routes should be traveled?
A) 1-2, 2-3, 3-5, 5-6
B) 1-2, 2-3, 3-4, 4-6
C) 1-2, 2-5, 5-6
D) 1-4, 4-6
E) None of the above
2) Table 12-5
According to the information provided in Table 12-5, which presents a queuing problem
solution for a queuing problem with a constant service rate, on average, how many
customers arrive per time period?
A) 5
B) 7
C) 1.607
D) 0.893
E) None of the above
3) If items being transported must go through an intermediate point before reaching a
final destination, then this situation is known as a(n)
A) transshipment problem.
B) assignment problem.
C) transportation problem.
D) intermediate point problem.
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 no more than 3 customers would be willing to switch their
cable?
A) 0.85
B) 0.15
C) 0.20
D) 0.411
E) 0.589
5) Variables in the solution mix are called
A) standard.
B) surplus.
C) real.
D) revealed.
E) basic.
6) The Department of Motor Vehicles (DMV) can service customers at a rate of 20 per
hour (or 1/3 per minute) when it comes to license renewals. The service time follows an
exponential distribution. What is the probability that it will take between 2 and 3
minutes to be served?
A) 0.4831
B) 0
C) 1
D) 0.1419
E) 0.6284
7) Table 8-4
A small furniture manufacturer produces tables and chairs. Each product must go
through three stages of the manufacturing process: assembly, finishing, and inspection.
Each table requires 4 hours of assembly, 3 hours of finishing, and 1 hour of inspection.
Each chair requires 3 hours of assembly, 2 hours of finishing, and 2 hours of inspection.
The selling price per table is $140 while the selling price per chair is $90. Currently,
each week there are 220 hours of assembly time available, 160 hours of finishing time,
and 45 hours of inspection time. Assume that one hour of assembly time costs $5.00;
one hour of finishing time costs $6.00; one hour of inspection time costs $4.50; and that
whatever labor hours are not required for the table and chairs can be applied to another
product. Linear programming is to be used to develop a production schedule. Define the
variables as follows:
T = number of tables produced each week
C = number of chairs produced each week
Suppose that the problem described in Table 8-4 is modified to specify that one-third of
the tables produced must have 6 chairs, one-third must have 4 chairs, and one-third
must have 2 chairs. How would this constraint be written?
A) C = 4T
B) C = 2T
C) C = 3T
D) C = 6T
E) None of the above
8) Find the shortest route from Node 1 to Node 6.
A) 300
B) 450
C) 550
D) 650
E) None of the above
9) Wick’s Ski Shop is looking to forecast ski sales on a quarterly basis based on the
historical data listed in the table below:
Use the steps to develop a forecast using the decomposition method to answer the
following questions:
(a) Using the CMAs, calculate the seasonal indices for Q1, Q2, Q3, and Q4.
(b) Find the equation for the trend line using deseasonalized data.
(c) Find the year 5 quarterly forecasts.
10) The H.A.L. Computer Store sells a printer for $400. Demand for this is constant
during the year, and annual demand is forecasted to be 1350 units. The holding cost is
$20 per unit per year, while the cost of ordering is $90 per order. Currently, the
company is ordering 12 times per year (92 units each time). There are 270 working days
per year and the lead-time is 8 days. What should be the reorder point?
11) A plant manager considers the operational cost per hour of five machine
alternatives. The cost per hour is sensitive to three potential weather conditions: cold,
mild, and warm. The following table represents the operations cost per hour for each
alternative-state of nature combination:
Using the optimistic criterion, which alternative is best?
A) Machine 1
B) Machine 2
C) Machine 3
D) Machine 4
E) Machine 5
12) Table 14-4
Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium. This
state contains three cities: Chaos (C1), Frenzy (C2), and Tremor (C3). A transition
matrix, indicating the probability that a resident in one city will travel to another, is
given below. Cuthbert’s job is to schedule the required number of seats, one to each
person making the trip (transition), on a daily basis.
Using the data given in Table 14-4, find the equilibrium travel population for Frenzy
(rounded to the nearest whole person).
A) 126
B) 95
C) 79
D) 100
E) None of the above
13) The correct determinant value for the determinant would be
A) (8)(4)(3)(6).
B) (8)(4) + (3)(6).
C) (8)(4) – (3)(6).
D) (8)(3) – (6)(4).
E) (8)(6) – (3)(4).
14) At a university with 1,000 business majors, there are 200 business students enrolled
in an introductory statistics course. Of these 200 students, 50 are also enrolled in an
introductory accounting course. There are an additional 250 business students enrolled
in accounting but 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) None of the above
15) Table 15-1
Refer to Table 15-1. Bags of chocolate candy are sampled to ensure proper weight. The
overall average for the samples is 36 ounces. Each sample contains twelve bags. The
average range is 1.3 ounces. The upper control chart limit for the sample averages
would be
A) 36.3458.
B) 35.6542.
C) 38.3101.
D) 36.6279.
E) 37.1258.
16) An n x m matrix, when multiplied by an n x m matrix, yields
A) an n x m matrix.
B) an m x n matrix.
C) an n2 x m2 matrix.
D) an (n x m)2 matrix.
E) None of the above
17) Which of the following is not considered a possible problem in the quantitative
analysis approach?
A) validity of the data
B) lack of commitment
C) resistance to change
D) subjective solutions
E) hard-to-understand mathematics