OPR 3300  Fall 2014
Class 11 10/15/14 Exam 1 Answers
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OPR 3300 (Fall 2014)  EXAM 1  October 15th, 2014
This is an openbook, opennote exam, to be completed independently by each student
Any communication with other students, or copying mate
OPR 3300  Fall 2014
Class 27 12/10/14 Exam 3
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OPR 3300 (Fall 2014)  EXAM 3  December 10th, 2014
This is an openbook, opennote exam, to be completed independently by each student
Any communication with other students, or copying materials f
OPR 3300  Fall 2014
Class 28  12/15/14
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MAKEUP ASSIGNMENTS
A number of students did not hand in all of the assignments (or got low grades on them). The problems
below can be used to makeup the assignments that you missed. If you missed Assig
OPR 3300  Fall 2014
Assignment 8
*EXTRA CREDIT (max 2.5 points on grade)*  Simulation Problem 
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Required to get an A
Assignment 8 EC The assignment is due, in my office, by Monday, Dec. 29th, by 8PM , but of course
you can hand it in earlier
OPR 3300  Fall 2013
Assignment 04
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Assignment 4 Due on Wednesday, Ocober 23rd, 2013 (with an extension to 10/28 if necessary). I will not
accept Email assignments. Each person must submit his/her own answer and computer work. The computer
wor
OPR 3450  Fall 2012
Class 12 10/17/12
Butcher Shop Problem
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The Steak and Chop Butcher Shop purchases steak from a local meatpacking house. The meat is purchased on
Monday at $2.00 per pound, and the shop sells the steak for $3.00 per pound.
OPR 3450  Spring 2012
Assignment 1 due 08/27/12
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Due in class on Wednesday (Assignment 1 on Aug. 27th, 2012; Extra Credit on Sept. 4th , 2012)
Assignment 1 (HH 1.7)
The Water Sports Company soon will be producing and marketing a new
model line
OPR 3300  Spring 2015
Class 11 03/09/15
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Basics of Statistics and Probability (from STAT 2000)
A
Introduction
1.
Descriptive Statistics are the methods that help collect, summarize, present, and analyze a set of data.
2.
Inferential Statistics
OPR 3300  Spring 2015
Class 18 04/01/15 Exam 2 (version 2.2)
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OPR 3300 (Spring 2015)  EXAM 2.2  April 1st, 2015
This is an openbook, opennote exam, to be completed independently by each student
If something is unclear to you about the exam
OPR 3450  Fall 2012
Assignment 3
Assignment 03
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Due Monday, Sept. 24th, 2012 in class. (Extra Credit is due on Wednesday, Oct. 3 rd)
Hand in both a summary sheet with your answers to the three problems along with the needed computer backup
wor
car A
Profit per car
Steel per car (lbs)
Aluminum per car (lbs)
$1,000
2,000
1,000
car B
$1,500
1,000
2,000
Availability
(lbs)
200,000
150,000
max z =
steel
aluminum
$1000A +
2000A +
1000A +
A ,
Car A and B
$1500B
1000B
<=
2000B
<=
B
>=
200,000
150,000
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
A
Mountain
Laural
Vineyards
B
C D
C =
D =
H =
E
# of casks of
Mountain Blanc
# of casks of
Mountain Red
# of casks of
Mountain Blush
$7,500C + $8,200D
+ $10,500H
ma
Objective + x Z =
0.21C
0.24D +
0.18H <
A
B
C
D
E
F
G
H
I
J
K
x1
x2
x3
x4
x5
x6
1
LHS
RHS Surplus
z
$200 $200 $200 $200 $200 $200 $36,000
2
period 1
1
1
50
>=
20
30
3
period 2
1
1
50
>=
50
0
4
period 3
1
1
90
>=
80
10
5
period 4
1
1
100
>=
100
0
6
period 5
1
1
40
>=
40
0
7
period 6
1
1
30
>=
30
OPR 3300  Spring 2015
Class 04 02/09/15
page 1 of 5
The White Horse Apple Products Company purchases apples from local growers and makes applesauce and apple juice. It
costs $0.60 to produce a jar of applesauce and $0.85 to produce a bottle of apple juic
OPR 3300  Spring 2015
Class 03 02/04/2015
page 1 of 5
FORMULATION PROBLEMS
2.
A certain corporation has three branch plants with excess production capacity. All three plants have the
capability for producing a certain product, and management has decided
White Horse Apple Products Co.
S = jars of apple sauce produced
J = jars of apple juice produced
A = $ of advertizing for applesauce
D = $ of advertizing for apple juice
Budget
$16,000
Sauce
Juice
Cost
$0.60
$0.85
Profit
$1.45
$1.75
Base Sales
5,000
4,000
OPR 3300  Spring 2015
Class 06 02/18/15
page 1 of 2
NETWORK MODEL PROBLEMS
MinimumCost Flow Problem
(Problem 1)
Find the minimum cost to supply the retail outlets from the plants using the warehouses?
supply nodes
transshipment nodes
P1
demand nodes
W1
OPR 3300  Spring 2015
Class 02 02/02/15
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BASICS OF LINEAR PROGRAMMING
The components of the problem
Decision variables Objective function Constraints Nonnegativity 
(Linear functions) 
What we can decide to do; X , X , X , . , X ,
1 2 3
n
S
OPR 3300  Spring 2015
Class 01 01/28/15
page 1 of 5
OPR 3300  QUANTITATIVE METHODS FOR ACCOUNTING Spring 2015
FMWA
Mon/Wed
4:10PM 5:25PM
OPR 3300 Quantitative Methods for Accounting
VC 8155
3 hours; 3 credits
Prerequisites: STA 2000 and ACC 2101.
"The
A
$300
B
$400
z = A+B
z=A
z = 300A+400B
10
10
56
153
15
20
112
15
25
30
168
168
10
10
56
153
$9,000
$11,000
$61,600
$51,900
A
B
C
A
B
1
2
z # #
3
1
4 hours 1
A
1
5
B
1
6
1
7 ratio 2
8
A* B*
9
10
D
LHS
0
0
0
0
0
z*
0
E
F
G
H
RHSSlack
Surplus
<=
>=
>=
>=
1
OPR 3450  Fall 2012
Class 0208/29/12
page 1 of 6
BASICS OF LINEAR PROGRAMMING
The components of the problem
Decision variables 
What we can decide to do; X , X , X , . , X ,
123
n
Objective function Some linear function of the decision variables that we
OPR 3450  Fall 2012
Class 03 09/05/12
page 1 of 4
30. The Kleen City Police Department has the following minimal daily requirements for policeman:
Note, you are to consider Period 1 as following immediately after Period 6
Each policeman works eight conse
OPR 3450  Fall 2012
Class 13 10/22/12
TwoPerson ZeroSum Games  Characteristics of GAMES
Example 1
(Payoff to Player I, Cost to Player II)
Objective

_
Domination 
_
Solution

_
Example 2
(Payoff to Player I, Cost to Player II)
Objective

_
Dominat
OPR 3450  Fall 2012
Class 14 10/24/12
page 1 of 2
TWOPERSON NONZEROSUM NONCOOPERATIVE GAME
1
2
1
2
i
m
j
n
(aij, bij)
Player 1 has m strategies, player 2 has n strategies
(aij, bij) = the payoff to players 1 and 2 respectively
Battle of the Sexes
Man
OPR 3450  Fall 2012
Class 15 11/07/12
QUEUEING MODELS (SUMMARY)
PROBABILITY DISTRIBUTIONS
Exponential Distribution
T
=
random variable of time between two arrivals
=
arrival rate
f(t)
=
tet
F(t)
=
Pr(T<=t)
E(T)
=
mean time between arrivals =
Var(T) =
=
A
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
B
C
D
E
F
G
H
I
Template for M/M/1 Preemptive Priorities Queueing Model
n=
=
s=
Data
3
3
1
(# of priority classes)
(mean service rate)
(# servers)
Results
L
Lq
W
Wq
Wq (minutes)
i
Priority Class 1
0.2
0.0714286