Question
Question 1
Given an activity's optimistic, most likely, and pessimistic time estimates of 4, 12, and 18 days respectively, what is the PERT variance for this activity?
Question 1 options:
2.33
5.44
64.00
8.00
None of the above
Question 2
Given the following small project, the critical path is __________ days.
Question 2 options:
none of the above
14
10
20
16
Question 3
The expected time in PERT is:
Question 3 options:
the square root of the sum of the variances of the activities on the critical path.
none of the above.
a weighted average of the most optimistic time, most pessimistic time, and four times the most likely time.
the modal time of a beta distribution.
a simple average of the most optimistic, most likely, and most pessimistic times.
Question 4
The expected time in PERT is:
Question 4 options:
greater than the most likely time.
less than the most likely time.
equal to the most likely time.
any of the above.
none of the above.
Question 5
An automatic car wash is an example of a constant service time model.
Question 5 options:
True
False
Question 6
An airline company tracks the number of lost bags that occur each day. This is best monitored by which of the following control charts?
Question 6 options:
pchart
cchart
xbar chart
Rchart
None of the above
Question 7
The cchart is useful when we:
Question 7 options:
take a number of measurements and compute the average.
find the fraction of the production lot defective.
find the number of defective items in a production lot.
None of the above is correct.
take a number of measurements and compute the ranges.
Question 8
At a local fastfood joint, cars arrive randomly at a rate of 12 every 30 minutes. The fast food joint takes an average of 2 minutes to serve each arrival. What is the utilization factor for this system?
Question 8 options:
0.547
0.467
0.800
0.133
None of the above
Question 9
Both transportation and assignment problems are members of a category of LP techniques called __________.
Question 9 options:
Hungarian problems
sourcedestination problems
supply and demand problems
network flow problems
transshipment problems
Question 10
A certain firm has four different operations that must be assigned to four locations. The profit (in thousands of dollars) associated with each operation at each location is presented below. The firm's vice president would like to assign the various operations so that the total profit is maximized. Find the appropriate assignments.





Operation 
Location 


1 
2 
3 
4 
W 
9 
11 
7 
10 
X 
10 
12 
6 
12 
Y 
8 
10 
13 
9 
Z 
12 
8 
11 
10 
Using the data in the table, what is the optimal location for Operation X?
Question 10 options:
4
3
1
2
Previous PageNext Page
Question 11
If items being transported must go through an intermediate point before reaching a final destination, then this situation is known as a(n) __________.
Question 11 options:
transportation problem
transshipment problem
intermediate point problem
assignment problem
None of the above
Question 12
A technique that allows a researcher to determine the greatest amount of material that can move through a network is called __________.
Question 12 options:
maximalflow
shortestroute
maximaltree
maximalspanning
Question 13
In the maximalflow technique, a zero (0) means no flow or a oneway arc.
Question 13 options:
True
False
Question 14
Which of the following distributions is most often used to estimate the arrival pattern?
Question 14 options:
Erlang
Beta
Normal
Negative exponential
Poisson
Question 15
To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured. The overall average for the samples is 12 ounces. Each sample contains 10 cans. The average range is 0.4 ounces.
Using the data in the table above, what is the lower control chart limit for the sample averages?
Question 15 options:
12.1232
11.8768
12.308
13.2
None of the above
Question 16
Which of the following is not a property of linear programs?
Question 16 options:
Objective function and constraints are linear
One or more constraints
One objective function
At least two separate feasible regions
Alternative courses of action
Question 17
Assume that we are using a waiting line model to analyze the number of service technicians required to maintain machines in a factory. Our goal should be to:
Question 17 options:
minimize the percent of idle time of the technicians.
maximize productivity of the technicians.
minimize the total cost (cost of maintenance plus cost of downtime).
minimize the number of machines needing repair.
minimize the downtime for individual machines.
Question 18
What type of problems use LP to decide how much of each product to make, given a series of resource restrictions?
Question 18 options:
Product restriction
Product mix
Resource restriction
Resource allocation
Resource mix
Question 19
A feasible solution to a linear programming problem:
Question 19 options:
must satisfy all of the problem's constraints simultaneously.
must give the maximum possible profit.
need not satisfy all of the constraints, only the nonnegativity constraints.
must be a corner point of the feasible region.
must give the minimum possible cost.
Question 20
Given the table below, the final table for an assignment problem, who should be assigned to Job 2?


Job (Time in Minutes) 



1 
2 
3 
4 
Worker 
A 
0 
0 
2 
1 

B 
1 
3 
1 
0 

C 
1 
0 
1 
1 

D 
0 
1 
0 
3 
Question 20 options:
Worker C
Worker A
Worker D
Either worker A or worker C
Neither worker A nor worker C
Question 21
The following table represents a project with four activities. All times are in weeks.
The following represents a project with four a activities. All times are in weeks 

Activity 
Immediate Predecessor 
Optimistic time 
Most likely time 
Pessimistic time 
A 
 
2 
8 
17 
B 
 
8 
8 
8 
C 
A 
6 
9 
18 
D 
B 
5 
11 
17 
Using the data in the table, what is the minimal expected completion tiime (in weeks) for the project?
Question 21 options:
None of the above
11
19
18
37
Question 22
Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.
What is the total daily service cost for the twoteller model?
Question 22 options:
$48
$192
$96
$144
Question 23
The Rchart is useful when we:
Question 23 options:
take a number of measurements and compute the ranges.
find the number of defective items in a production lot.
None of the above is correct.
find the fraction of the production lot defective.
take a number of measurements and compute the average.
Question 24
The average range of a process for packaging cereal is 1.1 ounces. Assume the sample size is 10.
Using the data in the table above, what is the lower control chart limit for the sample ranges?
Sample Size 
Mean Factor 
Upper Range 
Lower Range 
n 
A2 
D4 
D3 
2 
1.880 
3.638 
0 
3 
1.023 
2.574 
0 
4 
0.729 
2.282 
0 
5 
0.577 
2.114 
0 
6 
0.483 
2.004 
0 
7 
0.419 
1.924 
0.076 
8 
0.373 
1.864 
0.136 
9 
0.337 
1.816 
0.184 
10 
0.308 
1.777 
0.223 
12 
0.266 
1.716 
0.284 
Question 24 options:
0.223
1.777
0.245
1.955
None of the above
Question 25
Customers enter the waiting line to pay for food as they leave a cafeteria on a firstcome, firstserved basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, on average, how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?
Question 25 options:
1.33 minutes
0.33 minute
0.67 minute
0.75 minute
0.50 minute
Question 26
Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a twochannel system. Under this new scheme, the total time an average customer spends in the system will be
Question 26 options:
33.3 minutes.
24.6 minutes.
9.6 minutes.
2.1 minutes.
37 minutes.
Question 27
To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured. The overall average for the samples is 12 ounces. Each sample contains 10 cans. The average range is 0.4 ounces.
Using the data in the table above, what is the upper control chart limit for the sample averages?
Question 27 options:
None of the above
11.8768
12.1232
12.308
13.2
Question 28
Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.
What is the total daily service cost for the single teller model?
Question 28 options:
$144
$192
$96
$48
Question 29
The pchart is useful when we:
Question 29 options:
find the fraction of the production lot defective.
take a number of measurements and compute the average.
take a number of measurements and compute the ranges.
find the number of defective items in a production lot.
None of the above is correct.
Question 30
A constraint with zero slack or surplus is called a __________
Question 30 options:
linear constraint
binding constraint
nonlinear constraint
resource constraint
nonbinding constraint
Question 31
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.
Sample Size n 
Mean Factor A_{2} 
Upper Range D_{2} 
Lower Range D_{3} 
2 
1.880 
3.628 
0 
3 
1.023 
2.574 
0 
4 
0.729 
2.282 
0 
5 
0.577 
2.114 
0 
6 
0.483 
2.004 
0 
7 
0.419 
1.924 
0.076 
8 
0.373 
1.864 
0.136 
9 
0.337 
1.816 
0.184 
10 
0.308 
1.777 
0.223 
12 
0.266 
1.716 
0.284 
Using the data in the table above, what is the lower control chart limit for the sample averages?
Question 31 options:
36.4849
35.6270
35.5150
36.3730
Question 32
Lines connecting nodes on a network are called links.
Question 32 options:
True
False
Question 33
If the total supply from the sources does not equal the total demand from the destinations in the transportation problem:
Question 33 options:
the amount put in a dummy source or destination should make supply and demand equal.
and if supply is greater than demand, add a dummy source or factory.
and if demand is greater than supply, add a dummy destination or warehouse.
none of the above.
all of the above.
Question 34
Use table below to answer question 

The following represents a project with known activity times. All times are in weeks. 

Activity 
Immediate Predecessor 
Time 
A 
 
4 
B 
 
3 
C 

2 
D 
A 
7 
E 
B 
4 
F 
C, D 
5 
G 
B 
4 
The following table represents a project with known activity times. All times are in weeks.
Using the data in the table, what is the slack time (in weeks) for activity D?
Question 34 options:
0
5
3
6
None of the above
Question 35
Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.
What is the proportion of time that the staffers are busy?
Question 35 options:
.833
.333
.667
.725
Question 36
When using a general LP model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true?
Question 36 options:
There are typically 12 decision variables and 7 constraints.
There are typically 12 decision variables and 3 constraints.
There are typically 12 decision variables and 12 constraints.
There are typically 4 decision variables and 3 constraints.
There are typically 7 decision variables and 7 constraints.
Question 37
Which of the following questions can be answered by PERT?
Question 37 options:
What is the probability that the project will be completed by a specific date?
What are the critical activities?
When will the entire project be completed?
What are the noncritical activities?
All of the above
Question 38
A widely used mathematical programming technique designed to help managers and decision making relative to resource allocation is called __________.
Question 38 options:
computer programming
constraint programming
linear programming
goal programming
None of the above
Question 39
Which of the following is a basic assumption of linear programming?
Question 39 options:
Divisibility does not exist, allowing only integer solutions.
Solutions or variables may take values from  to +.
Proportionality exists in the objective function and constraints.
Independence exists for the activities.
The condition of uncertainty exists.
Question 40
Bank Boston has a branch at Bryant College. The branch is busiest at the beginning of the college year when freshmen and transfer students open accounts. This year, freshmen arrived at the office at a rate of 40 per day (assume 8hour days). On average, it takes the Bank Boston staff person about ten minutes to process each account application. The bank is considering having one or two tellers. Each teller is paid $12 per hour and the cost of waiting in line is assumed to be $8 per hour.
What is the total daily waiting cost for the twoteller model?
Question 40 options:
$133.32
$4.17
$11.20
$266.56
Question 41
Management resources that need control include machinery usage, labor volume, money spent, time used, warehouse space used, and material usage.
Question 41 options:
True
False
Question 42
The inspection of cans of juice involves sampling some cans and weighing them. The overall average for the samples is 39 ounces. Each sample contains 36 cans. The standard deviation is estimated to be 2 ounces. The 99.7% lower control chart limit for the average would be __________.
Question 42 options:
40.00
37.67
39.33
38.00
none
Question 43
The maximalflow technique might be used by the U.S. Army Corps of Engineers to study water runoff in an attempt to minimize the danger from floods.
Question 43 options:
True
False
Question 44
The maximalflow model assumes that there is a net flow from "source" to "sink."
Question 44 options:
True
False
Question 45
A company can decide how many additional labor hours to acquire for a given week. Subcontractor workers will only work a maximum of 20 hours a week. The company must produce at least 200 units of product A, 300 units of product B, and 400 units of product C. In 1 hour of work, worker 1 can produce 15 units of product A, 10 units of product B, and 30 units of product C. Worker 2 can produce 5 units of product A, 20 units of product B, and 35 units of product C. Worker 3 can produce 20 units of product A, 15 units of product B, and 25 units of product C. Worker 1 demands a salary of $50/hr, worker 2 demands a salary of $40/hr, and worker 3 demands a salary of $45/hr.The company must choose how many hours they should contract with each worker to meet their production requirements and minimize labor cost.
Assuming this is a linear programming problem, which of the following is the objective function?
Question 45 options:
Maximize 40X1 + 45X2 + 50X3
Minimize 40X1 + 45X2 + 50X3
Maximize 50X1 + 40X2 + 45X3
Minimize 50X1 + 40X2 + 45X3
Question 46
The difference between the lefthand side and righthand side of a greaterthanorequalto constraint is referred to as __________.
Question 46 options:
constraint
slack
surplus
shadow price
none of the above
Question 47
The average range of a process for packaging cereal is 1.1 ounces. Assume the sample size is 10.
Using the data in the table above, what is the upper control chart limit for the sample ranges?
Sample Size 
Mean Factor 
Upper Range 
Lower Range 
n 
A2 
D4 
D3 
2 
1.880 
3.638 
0 
3 
1.023 
2.574 
0 
4 
0.729 
2.282 
0 
5 
0.577 
2.114 
0 
6 
0.483 
2.004 
0 
7 
0.419 
1.924 
0.076 
8 
0.373 
1.864 
0.136 
9 
0.337 
1.816 
0.184 
10 
0.308 
1.777 
0.223 
12 
0.266 
1.716 
0.284 
Question 47 options:
0.245
1.955
0.223
1.777
None of the above
Question 48
Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be __________ ounces.
Question 48 options:
18.0
10.2
10.8
7.2
9.4
Question 49
One difficulty in waiting line analysis is that it is sometimes difficult to place a value on customer waiting time.
Question 49 options:
True
False
Question 50
Practically speaking, multiple optimal solutions __________.
Question 50 options:
are unbalanced
are infeasible
are degenerate
provide management with greater flexibility in selecting and using resources
are unbounded
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