1) One problem in using a quantitative model is that the necessary data may be
unavailable.
2) In regression, a binary variable is also called an indicator variable.
3) In determining the EOL with the normal distribution, as D increases, the unit normal
loss integral, N(D), also increases.
4) The shadow price is the value of one additional unit of a scarce resource.
5) The linear programming model of the production scheduling process is usually used
when we have to schedule the production of multiple products, each of which requires a
set of resources not required by the other products, over time.
6) Bayes’ theorem enables us to calculate the probability that one event takes place
knowing that a second event has or has not taken place.
7) A “balanced problem” exists in a transportation model when the optimal solution has
the same amount being shipped over all paths that have any positive shipment.
8) In a shortest-route problem, the nodes represent the destinations.
9) Drivers arrive at a toll booth at a rate of 3 per minute during peak traffic periods. The
time between consecutive driver arrivals follows an exponential distribution. What is
the probability that it will take less than 1/2 of a minute between consecutive drivers?
A) 0.167
B) 0.223
C) 0.777
D) 0.5
E) 1
10) Figure 11-1
Given the network shown in Figure 11-1, assume that completion of B is delayed by
two days. What happens to the project?
A) The critical path is extended by two days.
B) The start of activity F is delayed by two days.
C) The start of activity E is delayed by two days.
D) All of the above
E) None of the above
11) A plastic parts supplier produces two types of plastic parts used for electronics.
Type 1 requires 30 minutes of labor and 45 minutes of machine time. Type 2 requires 60
minutes of machine hours and 75 minutes of labor. There are 600 hours available per
week of labor and 800 machine hours available. The demand for custom molds and
plastic parts are identical. Type 1 has a profit margin of $25 a unit and Type 2 has a
profit margin of $45 a unit. The plastic parts supplier must choose the quantity of
Product A and Product B to produce which maximizes profit.
(a) Formulate this as a linear programming problem.
(b) Find the solution that gives the maximum profit using either QM for Windows or
Excel.
12) In a given office, the color printer breaks down with a probability of 20% in any
month. A binomial process is assumed for a period of 10 months.
(a) What is the probability that the printer breaks down exactly 2 times?
(b) What is the probability that the printer breaks down at most 1 time?
(c) What is the probability that the printer breaks down more than once?
13) Which of the following is considered a decision variable in the production mix
problem of maximizing profit?
A) the amount of raw material to purchase for production
B) the number of product types to offer
C) the selling price of each product
D) the amount of each product to produce
E) None of the above
14) If one’s utility curve is not a straight line (i.e., risk indifferent), then one’s utility
can, over a particular range of EMV,
A) increase at an increasing rate as the monetary value increases.
B) increase at an increasing rate as the monetary value decreases.
C) increase at a decreasing rate as the monetary value increases.
D) increase at a decreasing rate as the monetary value decreases.
E) Any of the above
15) Consider the following linear programming problem:
Which of the following points (X,Y) is feasible?
A) (50,40)
B) (30,50)
C) (60,30)
D) (90,20)
E) None of the above
16) Which of the following is a category of mathematical programming techniques that
doesn’t assume linearity in the objective function and/or constraints?
A) integer programs
B) goal programming problems
C) nonlinear programs
D) multiple objective programming problems
E) None of the above
17) Given an activity’s optimistic, most likely, and pessimistic time estimates of 4, 12,
and 18 days respectively, compute the PERT variance for this activity.
A) 2.33
B) 5.44
C) 8.00
D) 64.00
E) None of the above
18) Table M8-12
Given Table M8-12, the final table for an assignment problem, who should be assigned
to job 2?
A) worker A
B) worker C
C) either worker A or worker C
D) neither worker A nor worker C
E) worker D
19) The value of the determinant is
A) -8.
B) +8.
C) -40.
D) +40.
E) None of the above
20) The problem of a nonlinear relationship is detected in residual analysis by which of
the following?
A) a cone pattern
B) an arched pattern
C) a random pattern
D) an increasing pattern
E) a decreasing pattern
21) The weather is becoming important to you since you would like to go on a picnic
today. If it was sunny yesterday, there is a 70% chance it will be sunny today. If it was
raining yesterday, there is a 30% chance it will be sunny today. What is the probability
it will be rainy today, if it was sunny yesterday?
A) 0.1
B) 0.2
C) 0.7
D) 0.8
E) 0.3
22) What shows how many units are needed at every level of production?
A) production level tree
B) material requirements tree
C) decision tree
D) material structure tree
E) Christmas tree
23) Consider the following linear programming problem:
Which of the following points (X,Y) is in the feasible region?
A) (30,60)
B) (105,5)
C) (0,210)
D) (100,10)
E) None of the above
24) Figure 11-1
Given the network shown in Figure 11-1, assume that the completion of activity C is
delayed by four days. What changes will take place?
A) The critical path will change to: A-C-B-D-E-F-H.
B) Activity F will be delayed by four days.
C) Activity E will be delayed by four days.
D) Activity G will be delayed by four days.
E) None of the above
25) The logic in a simulation model is presented graphically through which of the
following?
A) scatterplot
B) flowchart
C) blueprint
D) decision tree
E) None of the above
26) State the advantage of goal programming over linear programming.
27) Explain what r2 is.
28) What is meant by a decision variable in a shortest-route problem?
29) Find the shortest route from Node 1 to each of the other nodes in the transportation
network represented below.
30) Write the dual of the following problem.
31) What size matrix is yielded when an n x m matrix is multiplied by an n x p matrix?
32) Describe the situation of the existence of an equilibrium condition in a Markov
analysis.