Question
Question 1
In a PERT network, the earliest (activity) start time is the:
Question options:
earliest time that an activity can be finished without delaying the entire project.
latest time that an activity can be started without delaying the entire project.
earliest time that an activity can start without violation of precedence requirements.
latest time that an activity can be finished without delaying the entire project.
none of the above.
Question 2
Slack time in a network is the:
Question options:
amount of time that you would expect it would take to complete the activity.
shortest amount of time that could be required to complete the activity.
amount of time that an activity would take assuming very unfavorable conditions.
amount of time that an activity can be delayed without delaying the entire project.
difference between the expected completion time of the project using pessimistic times and the expected completion time of the project using optimistic times.
Question 3
Given the following small project, the critical path is __________ days.
Question options:
none of the above
16
20
10
14
Subsection
Question 4
A finite population model differs from an infinite population model because there is a random relationship between the length of the queue and the arrival rate.
Question options:
True
False
Question 5
In a singlechannel, singlephase system, reducing the service time only reduces the total amount of time spent in the system, not the time spent in the queue.
Question options:
True
False
Question 6
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 options:
maximize productivity of the technicians.
minimize the downtime for individual machines.
minimize the percent of idle time of the technicians.
minimize the total cost (cost of maintenance plus cost of downtime).
minimize the number of machines needing repair.
Question 7
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 options:
2
4
1
3
Question 8
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 options:
Either worker A or worker C
Worker C
Worker D
Neither worker A nor worker C
Worker A
Question 9
Consider the following linear programming problem:
Maximize 4X + 10Y
Subject to: 3X + 4Y ≤ 480
4X + 2Y ≤ 360
all variables ≥ 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0) What is the maximum possible value for the objective function?
Question options:
None of the above
1,032
1,600
360
1,200
Question 10
The shortestroute technique might be logically used for:
Question options:
finding the most scenic route to allow travel to several places during a trip on spring break.
none of the above.
connecting all the points of a network together while minimizing the distance between them.
finding the shortest travel distance between two points.
finding the longest time to travel between two points.
Question 11
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.
Using the data in the table, what is the optimal location for Operation Z?





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 
Question options:
4
2
1
3
Question 12
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 options:
There are typically 12 decision variables and 3 constraints.
There are typically 12 decision variables and 7 constraints.
There are typically 7 decision variables and 7 constraints.
There are typically 12 decision variables and 12 constraints.
There are typically 4 decision variables and 3 constraints.
Question 13
Consider the following linear programming problem.
Maximize 5X_{1} + 3X_{2}
Subject to:
X_{1} + X_{2} ≤ 20
X_{1} ≥ 5
X_{2} ≤ 10
X_{1}, X_{2} ≥ 0
Using Excel QM, what are the optimal values of X1 and X2 respectively?
Question options:
0; 20
10; 5
5; 10
20; 0
Question 14
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 options:
12.308
12.1232
11.8768
13.2
None of the above
Question 15
A company must assign mechanics to each of four jobs.
The time involved varies according to individual abilities. The table shows how many minutes it takes each mechanic to perform each job. If the optimal assignments are made, how many total minutes would be required for completing the jobs?
Question options:
0
4
None of the above
17
16
Question 16
Practically speaking, multiple optimal solutions __________.
Question options:
are infeasible
provide management with greater flexibility in selecting and using resources
are unbalanced
are degenerate
are unbounded
Question 17
Which of the following is not a property of linear programs?
Question options:
Objective function and constraints are linear
At least two separate feasible regions
Alternative courses of action
One objective function
One or more constraints
Question 18
Variations that need not occur in production processes are referred to as __________.
Question options:
assignable variations
control variations
process variations
natural variations
none of the above
Question 19
The maximalflow technique finds the maximum flow of any quantity or substance through a network.
Question options:
True
False
Question 20
Transportation models can be used for which of the following decisions?
Question options:
Production mix
Media selection
Portfolio selection
Employee shift scheduling
Facility location
Question 21
When receiving a shipment from a supplier, inspection must be done to check the fraction of defective products. This is best monitored by which of the following control charts?
Question options:
pchart
Rchart
cchart
xbar chart
None of the above
Question 22
According to the table below, there are five activities in a PERT project.
Using the data in the table, if the normal distribution were used to find the probability of finishing this project in 24 weeks or fewer, what mean and variance respectively would be used?
Activity 
Immediate Predecessor 
Optimistic 
Most Likely 
Pessimistic 
Average 
Standard Deviation 
Variance 
A 
 
4 
5 
6 
5 
0.333 
0.111 
B 
 
2 
5 
8 
2 
1.000 
1.000 
C 
A 
2 
8 
14 
8 
2.000 
4.000 
D 
A 
5 
5 
5 
5 
0.000 
0.000 
E 
B,C 
6 
7 
8 
7 
0.333 
0.111 
Question options:
20; 4.222
30; 4.222
30; 5.222
20; 5.222
Question 23
The wait time for a singlechannel system is more than twice that for a twochannel system using two servers working at the same rate as the single server.
Question options:
True
False
Question 24
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, what proportion of the time is the server busy?
Question options:
0.33
0.25
0.43
0.57
0.75
Question 25
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 options:
1.777
0.245
0.223
1.955
None of the above
Question 26
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.
Using the data in the table, what is the optimal location for Operation Y?
Question options:
3
2
1
4
Question 27
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 options:
xbar chart
cchart
None of the above
Rchart
pchart
Question 28
A hospital ward with only 30 beds could be modeled using a finite population model.
Question options:
True
False
Question 29
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 options:
13.2
12.308
11.8768
12.1232
None of the above
Question 30
The points on the network are referred to as nodes.
Question options:
True
False
Question 31
Lines connecting nodes on a network are called links.
Question options:
True
False
Question 32
According to the table below, there are five activities in a PERT project.
Using the data in the table, what is the variance of the critical path?
Activity 
Immediate predecessor 
Optimistic 
Most likely 
Pessimistic 
Standard Division 
Variance 
A 
 
4 
5 
6 
0.333 
0.111 
B 
 
12 
16 
18 
1.000 
1.000 
C 
A 
2 
8 
14 
2.000 
4.000 
D 
A 
5 
5 
5 
0.000 
0.000 
E 
B,C 
6 
7 
8 
0.333 
0.111 
Question options:
0
1.222
1.111
4.222
5.222
Question 33
Which of the following questions can be answered by PERT?
Question options:
What are the noncritical activities?
When will the entire project be completed?
What is the probability that the project will be completed by a specific date?
What are the critical activities?
All of the above
Question 34
A transportation problem:
Question options:
may give an initial feasible solution rather than the optimal solution.
requires the same assumptions that are required for linear programming problems.
is a special case of the linear programming problem.
can be solved by linear programming, but is solved more efficiently by a specialpurpose algorithm.
All of the above are correct.
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 total daily service cost for the twoteller model?
Question options:
$48
$192
$96
$144
Total service cost = (2 x $12) x 8 hours/day = $192
Question 36
A suburban specialty restaurant has developed a single drivethru window. Customers order, pay, and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what is the average number of customers waiting in line behind the person being served?
Question options:
None of the above
0.75
0.50
3.00
2.25
Question 37
Which of the following is not a popular definition of quality?
Question options:
Quality is the degree to which a product conforms to design or specification.
Quality is the totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs.
Quality is fitness for use.
Quality is defined as a competitively priced product that surpasses customer needs.
Even though quality cannot be defined, you know what it is.
Question 38
The following table represents a project with known activity times. All times are in weeks.
The following represents a project with known activity times. All times are in weeks 

Activity 
Immediate Predecessor 
Optimistic time 
A 
 
4 
B 
 
3 
C 
A 
2 
D 
B 
7 
E 
C, D 
4 
F 
B 
5 
Using the data in the table, what is the minimum possible time (in weeks) required for completing the project?
Question options:
25
14
10
8
None of the above
Question 39
The cchart is useful when we:
Question options:
find the number of defective items in a production lot.
take a number of measurements and compute the ranges.
find the fraction of the production lot defective.
None of the above is correct.
take a number of measurements and compute the average.
Question 40
In PERT, we assume that:
Question options:
the total cost of a project is independent of the time to complete the project.
all activities are carried out by staff from our own organization.
the total time to complete all activities on the critical path is described by a normal distribution.
the times to complete individual activities are known with certainty.
none of the above.
Question 41
A suburban specialty restaurant has developed a single drivethru window. Customers order, pay, and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what proportion of the time is the server busy?
Question options:
2.25
0.25
0.75
0.50
3.00
Question 42
The Rchart is useful when we:
Question options:
find the number of defective items in a production lot.
find the fraction of the production lot defective.
take a number of measurements and compute the ranges.
None of the above is correct.
take a number of measurements and compute the average.
Question 43
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 options:
18
11
19
37
None of the above
Question 44
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 options:
.333
.725
.833
.667
Question 45
Which of the following distributions is most often used to estimate the arrival pattern?
Question options:
Beta
Normal
Negative exponential
Erlang
Poisson
Question 46
What type of problems use LP to decide how much of each product to make, given a series of resource restrictions?
Question options:
Resource restriction
Product restriction
Resource allocation
Resource mix
Product mix
Question 47
Consider the following linear programming problem:
Maximize 12X + 10Y
Subject to:
4X + 3Y ≤ 480
2X + 3Y ≤ 360
all variables ≥ 0
The maximum possible value for the objective function is __________.
Question options:
1,520
360
1,560
480
none of the above
Question 48
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 options:
$133.32
$4.17
$11.20
$266.56
Total waiting cost = [(5 x 0.35 hours) (8)] x 8 hours/day = $11.20
Question 49
The critical path of a network is:
Question options:
the path with zero slack.
none of the above.
the path with the largest variance.
the path with the least variance.
the path with the most activities.
Question 50
Consider the following linear programming model:
Minimize 2X_{1} + 3X_{2}
Subject to:
X_{1} + 2X_{2} ≤ 1
X_{2} ≤ 1
X_{1} ≥ 0, X_{2} ≤ 0
This problem violates which of the following assumptions?
Question options:
Additivity
Proportionality
Linearity
Divisibility
Nonnegativity
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