Cumulative probabilities are analogous to the discrete ranges of random numbers used
in the Monte Carlo process.
A two-person game encompasses two players.
In a weighted moving average, weights must sum to 1.
Row operations are used to solve simultaneous equations where equations are
________ by constants and added to or subtracted from each other.
A) converted
B) restrained
C) divided
D) multiplied
It costs $6,000 to start a production process. Variable cost is $2 per unit and revenue is
$5 per unit. What is the break-even point?
A) 1000 units
B) 1111 units
C) 2000 units
D) 2500 units
A seed value is a(n):
A) steady state solution of a simulation experiment.
B) number used to start a stream of random numbers.
C) first run of a simulation model.
D) analytic solution of a simulation experiment.
An assignment problem is a special form of transportation problem where all supply
and demand values equal:
A) -1 or 1.
B) -1.
C) 0
D) 1
Figure 2
Line segment GH represents the objective function. Which constraint has surplus?
A) AB
B) CD
C) EF
D) none of the constraints has surplus
A custom molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per
unit contribution for the juice glasses (x1) is equal to 60 – 5x1, and the per unit
contribution for the cocktail glasses (x2) is 80 – 4x2. An expression for the total
contribution is:
A) 20 – 4x2 – 5x1.
B) 60x1 – 5x1
2 + 80x2 – 4x2
2.
C) 80x1 – 5x1
2 + 60x2 – 4x2
2.
D) 20 – (4x2)(5x1).
The transition matrix below shows the probabilities that customer switch between two
grocery stores, Don’s and Limmer’s, each week.
If there are 2000 customers who shop at either store, how many over the long run would
shop at Limmer’s?
A) 333
B) 400
C) 667
D) 1000
E) 1600
Jolt – Exp
The soda machine outside the lecture hall sees a steady stream of customers throughout
the day. While the machine takes 4 seconds to deliver a can of carbonated sugar water
once the button is pressed, the student customers introduce variation into the delivery
process by pondering their selection for a while. Thus, we can safely say that the
service time is governed by a negative exponential probability distribution that averages
10 seconds. Over the course of a twelve hour lecture day, students arrive at the rate of
240 per hour, Poisson distributed of course.
At the end of an average twelve hour day, how many cans of soda will the vending
machine have dispensed?
A) 4320
B) 3600
C) 3240
D) 2880
A business professor wishes to model the duration of his commute through the busy
streets of Bangalore. He decides to model it based on the number of auto-rickshaws that
he passes during the first ten minutes of the drive. The continuous probability
distribution 7x – 2 serves as a good model.
What is the integral from 0 to 4 for this distribution?
A) 48
B) 38
C) 26
D) 20
The local grocery store consists of two cashiers. The customers arrive at the checkout
according to the Poisson distribution and the service times are based on negative
exponential distribution. The average customer service time is 4 minutes and the
average time between the arrivals of successive customers is 3 minutes. Assume that
customers equally divide themselves between the two cashiers.On average, how much
time will the customer spend in line waiting to be served?
A) 8 minutes
B) 12 minutes
C) 16 minutes
D) 20 minutes
The manager of the Quick Stop Corner convenience store (which is open 360 days per
year) sells four cases of Stein soda each day (1440 cases per year). Order costs are
$8.00 per order. The lead time for an order is three days. Annual holding costs are equal
to $57.60 per case.What is the optimal order quantity for Stein soda?
A) 8 cases
B) 12 cases
C) 20 cases
D) 16 cases
A professor would like to assign grades such that 5% of students receive As. If the exam
average is 62 with a standard deviation of 13, what grade should be the cutoff for an A?
(Round your answer.)
A) 80
B) 83
C) 90
D) 93
Jolt – M
The soda machines outside the lecture hall sees a steady stream of customers
throughout the day. Between the student’s use of the machine and the mechanism, it
takes 15 seconds (exponentially distributed) to deliver a can of carbonated sugar water
to a thirsty customer. Over the course of a twelve hour lecture day, students arrive at the
rate of 450 per hour.
How many minutes out of each hour is the soda machine not serving a customer?
A) 1.8
B) 2.2
C) 2.6
D) 3.0
Given the nonlinear programming model:
Max Z = 5x1 – 2x2
2
Subject to: x1 + x2 = 6
What is the optimal value of the Lagrange multiplier?
A) λ = 1
B) λ = 2
C) λ = 3
D) λ = 4
E) λ = 5
Pseudorandom numbers exhibit a ________ in order to be considered truly random.
A) limited number of possible outcomes
B) uniform distribution
C) detectable pattern
D) detectable run of certain numbers
Madlantic Devices designs and manufactures high-end medical devices. The facilities
in Madison and Atlanta serve as design and component manufacturing facilities.
Components are then shipped to warehouses in Philadelphia or Knoxville, where they
are held until final assembly is completed at either Dayton, Bloomington, or Albany.
Manufacturing capacity in Madison and Atlanta is 1000 units. Demand at Dayton,
Bloomington, and Albany is 450, 500, and 610, respectively.
The network representing the shipping routs is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that
shipping between two facilities is not permitted.
The constraint for Philadelphia is:
A) X13 + X23 – X35 – X36 – X37 = 0.
B) X13 + X23 – X35 – X36 – X37 ≥ 0.
C) X13 + X23 + X43 – X34 – X35 – X36 – X37 = 0.
D) X13 + X23 + X43 – X34 – X35 – X36 – X37 ≥ 0.
Jolt – M
The soda machines outside the lecture hall sees a steady stream of customers
throughout the day. Between the student’s use of the machine and the mechanism, it
takes 15 seconds (exponentially distributed) to deliver a can of carbonated sugar water
to a thirsty customer. Over the course of a twelve hour lecture day, students arrive at the
rate of 450 per hour.
About how many people are waiting in line for a soda?
A) 11.8
B) 13.6
C) 15.5
D) 17.2
Semester Prep
The department chair reviewed last year’s schedule, the degree requirements for the
ever popular Operations and Supply Chain major, and the emails that had drifted into
her mailbox over the last week. Naturally, every professor in the department had his
own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all
costs. In an effort to placate the senior faculty members of the department, the chair
sent an email asking them to supply the prep time for each of the classes they were
qualified to teach, promising to assign them the least taxing schedule possible. Each of
her department members had to teach at least two courses, but no more than three. The
elective courses, Project Management, Quality Management, Control and Planning,
Logistics, and Management Science each had to be offered once and the department
needed to offer at least six sections of the Introduction to Operations class. The prep
times each professor estimated for each course appear in the table below.
What is an appropriate objective function for this scenario?
A) Max Z = 3SI + 10SP + 12SQ + 16SC + 12SL + 7SM + 4GI + 19GP + 2GQ + 10GC
+ 8GL + 18GM +
5TI + 11TP + 4TQ + 14TC + 14TL + 3TM + 4DI + 11DP + 4DQ + 15DC + 17DL +
15DM
B) Min Z = 3SI + 10SP + 12SQ + 16SC + 12SL + 7SM + 4GI + 19GP + 2GQ + 10GC
+ 8GL + 18GM +
5TI + 11TP + 4TQ + 14TC + 14TL + 3TM + 4DI + 11DP + 4DQ + 15DC + 17DL +
15DM
C) Min Z = SI + SP + SQ + SC + SL + SM + GI + GP + GQ + GC + GL + GM +
TI + TP + TQ + TC + TL + TM + DI + DP + DQ + DC + DL + DM
D) Max Z = SI + SP + SQ + SC + SL + SM + GI + GP + GQ + GC + GL + GM +
TI + TP + TQ + TC + TL + TM + DI + DP + DQ + DC + DL + DM
The least complex method for solving nonlinear programming problems is referred to
as:
A) the substitution method.
B) Lagrange multipliers.
C) nonlinear programming.
D) none of the above
Semester Prep
The department chair reviewed last year’s schedule, the degree requirements for the
ever popular Operations and Supply Chain major, and the emails that had drifted into
her mailbox over the last week. Naturally, every professor in the department had his
own pet course and wanted to maintain control of it while avoiding 8 a.m. classes at all
costs. In an effort to placate the senior faculty members of the department, the chair
sent an email asking them to supply the prep time for each of the classes they were
qualified to teach, promising to assign them the least taxing schedule possible. Each of
her department members had to teach at least two courses, but no more than three. The
elective courses, Project Management, Quality Management, Control and Planning,
Logistics, and Management Science each had to be offered once and the department
needed to offer at least six sections of the Introduction to Operations class. The prep
times each professor estimated for each course appear in the table below.
Which constraint ensures that Introduction to Operations is offered according to the
scenario?
A) SI + GI + TI + DI ≥ 6
B) SI + GI + TI + DI ≤ 6
C) SI + SP + SQ + SC + SL + SM ≤ 6
D) SI + SP + SQ + SC + SL + SM ≥ 6
The ________ is computed by multiplying each decision outcome under each state of
nature by the probability of its occurrence.
A) expected value
B) expected value of perfect information
C) expected opportunity loss
D) none of the above
The Krewe of Orpheus
The Krewe of Orpheus maintains a supply of swizzle sticks for events throughout the
year. Demand for swizzle sticks is shockingly low, a quick check of krewe records from
last year reveals that they used only 585,000, but the krewe president believes that they
should be good stewards of what they have, so they seek to manage this inventory using
the EOQ policy, although they prefer to refer to it as an EOKrewe policy for obvious
reasons. Swizzle sticks are not expensive items, they cost a nickel apiece largely due to
the club logo printed on each one. This also serves to increase the lead time as they
can’t be obtained from a standard restaurant supply house. Instead, they must be ordered
with an eye towards the six day lead time. It costs $15 to place an order, most of this
cost is a result of explaining the meaning of “Laissez les bons temps rouler” and why it
should be printed on the edge of each swizzle stick. Holding cost is 20% of purchase
price.
How much time passes between orders if they order optimally (in accordance with the
EOQ policy)?
A) 26 days
B) 28 days
C) 29 days
D) 31 days
Jolt – Exp
The soda machine outside the lecture hall sees a steady stream of customers throughout
the day. While the machine takes 4 seconds to deliver a can of carbonated sugar water
once the button is pressed, the student customers introduce variation into the delivery
process by pondering their selection for a while. Thus, we can safely say that the
service time is governed by a negative exponential probability distribution that averages
10 seconds. Over the course of a twelve hour lecture day, students arrive at the rate of
240 per hour, Poisson distributed of course.
Michelle is reviewing flash cards while in line waiting for her turn to buy a refreshing
beverage. It takes two seconds to quiz herself on each flash card. If her wait today is an
average wait, how many cards can she review before it’s time to make that purchase?
A) 20
B) 10
C) 5
D) 2
Given the following data on the number of pints of ice cream sold at a local ice cream
store for a 6-period time frame:
Use a 2-period moving average to forecast demand for period 7.
A) 227.5
B) 275
C) 280
D) 290
Decision variables:
A) measure the objective function.
B) measure how much or how many items to produce, purchase, hire, etc.
C) always exist for each constraint.
D) measure the values of each constraint.
A ________ probability is the probability that an event will occur given that another
event has already occurred.
A) subjective
B) objective
C) conditional
D) binomial
The analytical hierarchy process is a method for ________ decision alternatives.
A) creating
B) ranking
C) changing
D) deleting
The optimal solution to a linear programming model that has been solved using the
graphical approach:
A) is typically located at the origin.
B) must be below and on the left side of all constraint lines.
C) must be above and the right of all constraint lines.
D) is typically at some corner of the feasible region.
It was a house with seven cats, four female and three male, and the litterbox was busier
than O’Hare Airport during the week of Thanksgiving. The beleaguered husband’s home
office was right around the corner from the laundry room, where the litterbox was kept,
and heard four separate instances of use. What is the likelihood that none of the
instances were the work of the male cats?
A) .273
B) .106
C) .034
D) .079
The maximal flow solution algorithm allows the user to choose a path through the
network from the origin to the destination by any criteria.
Mondo’s Runway Show
Mondo Guerra is matching his models with his latest collection for Fashion Week. He
has five models, ranging from 5’10” to 5’10.5″ and size 0 to size 1. His five latest
designs run the gamut from prt–porter to an evening gown and he’d like to make sure
each outfit looks as good as possible by having it worn on the runway by the right
model. After an anxious month of sewing, he has each model try on each outfit and he
assigns a fabulosity score to each combination as indicated in the table.
Mondo ran the problem in Excel but wondered what would happen if he allowed his
favorite model Xena to wear two outfits. She would be the first to walk the runway, then
would change and also be the last model in the show. The sensitivity analysis for the
original problem scenario is shown below.
What would happen if Mondo ran the model again, but this time changed the existing
constraints to ≤ constraints and included a constraint that required Xena to model two
separate looks?
A) Xena would wear the pret-a-porter and the gown.
B) Xena would wear the pret-a-porter and the cocktail.
C) The overall fabulosity score would drop by 1.
D) Xena would keep the same outfit.
If two events A and B are not mutually exclusive, then P(A or B) = ________.
A primal maximization model with ≤ constraints converts to a ________ minimization
model with constraints.
Consider the following linear programming problem:
MAX Z = 10 + 30
s.t. 4 + 6 ≤ 12
8 + 4 ≤ 16
Use the two tables below to create the initial tableau and perform 1 pivot.
If it takes 5 minutes to serve a customer at a fast food restaurant the service rate is
________.
In an integer program, if we were choosing between two locations to build a facility,
this would be written as: ________.
An assumption of Markov analysis is that the probabilities are ________ over time.
Mad Over Donuts
An entrepreneurial resident of the Oklahoma City metropolitan area is interested in
securing a new franchise for Mad Over Donuts. Ideally this franchise would be
centrally located so delivery could be economically handled and all citizens could enjoy
fresh, delicious donuts delivered to the doorstep. The main cities and anticipated
demand (in thousands per day) are shown in the table.
What is the appropriate objective function for this scenario?
In using the branch and bound method, we always branch from the node with the
________ upper bound.
________ is a type of exponential smoothing that can also include trend.
Using the normalized matrix given below, calculate the row averages.
Given the following transportation tableauwhere the numbers in each cell represent
transportation costs from the specific source to the specific destinationwith supply
figures corresponding to each source and demand figures corresponding to each
destination:
According to the minimum cell cost method, the initial solution would give to cell C1 a
loading of ________.
The ________ method uses probabilities to determine the best strategy for each player.
Pro-Carpet company manufactures carpets in Northwest Indiana and delivers them to
warehouses and retail outlets. The network diagram given in the figure below shows the
possible routes and travel times (in minutes) from the carpet plant to the various
warehouses or retail outlets.
V = Valparaiso, P=Portage, G=Gary, Ha=Hammond, Hi=Highland, M =
Merillville, L = Lansing
Determine the shortest route for a carpet delivery truck from the carpet plant in
Valparaiso, Indiana, to warehouses in Hammond, Gary, and Merillville. State the total
completion time in minutes or each route.
________ is the act of a customer refusing to enter a service system because the wait is
too lengthy.
If average demand for an inventory item is 180 units per day, lead time is 5 days, and
safety stock is 90 units, what is the reorder point?
In order to determine the value of discrete demand in a simulation model using Excel,
the ________ function is used to associate a specific value of demand with a random
number.
Limmer’s is going to launch a new advertising campaign in order to attract new
customers. The “before” and “after” transition matrices are shown below:
Before:
After:
If there are 1000 customers who shop at these two stores, how many customers, over
the long run, will switch to Limmer’s as a result of the new campaign?
Management science techniques include ________ techniques, models that are
represented as diagrams, presenting a pictorial representation of the system being
analyzed.