The American University of Sharjah
College of Engineering
Department of Industrial Engineering
Spring 2016
INE 323: Stochastic Process and Simulation
Assignment #3
Sana Fekih
52857
.
a. States:
0: when no customer is served at the bank
1: when 1 customer
The American University of Sharjah
College of Engineering
Department of Industrial Engineering
Spring 2016
INE 323: Stochastic Process and Simulation
Assignment #2
Sana Fekih
52857
Given:
0
0 0.00
1
1 0.00
1
2 0.00
1
3 0.00
1
4 0.01
9
5 0.00
4
6 0.00
1
1
The American University of Sharjah
College of Engineering
Department of Industrial Engineering
Spring 2016
INE 323: Stochastic Process and Simulation
Assignment #1
Sana Fekih
52857
1. Thequestion,"Doyouexercise/workout?"wasaskedof100people.Results
areshow
MTH 101 - Quiz 1
Name:
Student number:
Question 1
From collecting market data, a seller found the following information.
At a price of $1400 per diamond ring, the demand is 500 and the supply is 50.
At a price of $1800 per diamond ring, the demand is 300
MTH 101 - Quiz 2
m. SOLUTION
Student number:
Question 1 (20 points)
A shipping company charges according to the packages weight. There is a base charge of $10.
If the package weighs 20 kilograms or less, then the cost of shipping is $3 per kilogram. If th
OLULT/9/L/
MTH 101 - Quiz 3
Name:
Student number:
Question 1
A real estate developer makes three kinds of houses. A small house costs $100,000 and requires 2
working days to build. A medium house costs $200,000 and requires 6 working days to build. A larg
Math 101
Quiz 3
N ame_._ Student number
Show all work
Closed book.
Scientic calculatos allowed.
x) = at: + bx + c = 0
_ 4mm
Solution : x 7
_a
Vertex : (hJc) where h = ;_3- and k =h)
1. (Each part 4 points) Given the following price-demand and cost funct
Math 101
Quiz 6
N am_*_ Student number
Show all work!
Closed book. Alib cfw_51 Mi VG (A "
Scientic calculates allowed. TO SQIC. i F 'i' i/Q
\re Si 9 n be i o v0
1. (10 points) Maximize and minimize i '3 C 0 (tr Q C _i_ bk. SQ
P=53+10y (2.0) +0 CnCCiL
SOLMTlON
MTH 101 - Quiz 7
Name:
Student number:
Question 1 Solve the following linear system using the augmented matrix method. If there is no
solution, then state so.
:cl+2xI +3x3=6
2xI +42:z +6x3 =10
-3x, +3:2 +2x3 =3 Question 2 Solve the following line
SOLUTloN
MTH 101 - Quiz 7
Name:
Student number;
Question 1 Solve the following linear system using the augmented matrix method. If there is no
solution, then state so.
2x, +23;2 +4x3 =6
xl +2x2 +2.13: :5
3x2 +x3 =5
G I NOT REQUIRE!
] 1 2 S *1R1+R9
Math 101
Quiz 6
N ame_ Student number
Show all work!
Closed book.
Scientic calculates allowed.
1. (10 points) Maximize and minimize 2. (10 points) Maximize and minimize
P=23:+y
subject to
m (M (0.0) M Ms
%
Q2351
IA |/\ :v m
H co
><
H
w
T
L;
\V
X
MTH 101 - Quiz 8
NM. 9Lq T/O/t/
Student number:
Question 1
A real estate developer makes three kinds of houses. A small house costs $100,000 and requires 3
working days to build. A medium house costs $200,000 and requires 8 working days to build. A large
Name: Student ID:
MTH 101 - QUIZ 4
l. (8 points) What balance will an account have if $3 is deposited at the end of every month
over 5 years? Assume that interest is compounded at 12% compounded monthly.
Givh ?MT 1 3 VM = i1 for wowilwib
WAC mus-=60 w
Name:
Student ID:
MTH 101 - QUIZ 5
1. (10 points) If $1000 is deposited each month into an account paying 12% compounded
monthly over 5 years, find the interest earned during the last three years.
TOTAL INTEREST IS:
FVlater FVearlier
n
1 i
N PMT PMT
late
10/4/2016
Definition of Annuity
Definition of Annuity
An annuity is any sequence of equal periodic payments.
If for example, $100 is deposited into an account every quarter
(3 months) at an interest rate of 8% per year, the following
sequence illustrate
9/20/2016
Section 2.3
Quadratic Functions
Quadratic Functions
If a, b, c are real numbers with a not equal to zero, then
the function
Be able to find the maximum or minimum of a quadratic
function (this is a y-value)
Be able to find the maximum or minim
12/7/2016
Section 8.1
Probability
Meaning of Probability
Probability of an event means: How likely is the
event to happen?
How likely is it to rain tomorrow?
What is the likelihood of the stock market going
up?
Think of assigning a weight to the outco
8/28/2016
Section 1.2
Graphs and Lines
The Cartesian Coordinate System
Main Objectives (typical exam questions)
Be able to solve applications of linear equations
Be able to solve questions involving price-demand and
price-supply
Necessary techniques
10/14/2016
Present Value of an Annuity
Present Value
Present value of an annuity represents the value of n future
payments of size PMT
Payments are made at the end of the n periods
The first payment is made at the end of the first period
Ordinary annui
10/14/2016
Example Commission
Solution
Example Commission
Many investment firms charge commissions on transactions based on the amount of the
transaction. Suppose that an investment firm charges 1% commission when an investment is
purchased and 0.5% when
9/18/2016
Section 2.2
Piecewise Functions
Motivation
Main Objectives (typical exam questions)
Be able to solve applications involving piecewise
functions
Note that we will only consider piecewise linear functions
Necessary techniques
Be able to fit a
11/12/2016
Section 6.1
Linear Programming - Simplex Method
6.1 Geometric Introduction to the
Simplex Method
The geometric method of linear
programming from the previous
section is limited in that it is only
useful for problems involving two
variables and
1. The cost for labor associated with fixing a washing machine is computed as
follows: There is a fixed charge of $25 for the repairman to come to the house, to
which a charge of $20 per hour is added.
(a). Find an equation that can be used to determine t
Solve the following liner programming problems.
Note that the feasible regions have been determined in Section 5.2.
If the region is bounded both maximum and minimum exist.
If region is unbounded maximum typically does not exist (see notes).
Example 1:
Ma
10/30/2016
Section 4.3
Gauss-Jordan Elimination
Reduced Row Echelon Form
MEMORIZE
Identify reduced row echelon form
Identify number of solutions
Be able to solve systems by Gauss-Jordan elimination.
Be able to solve applications using Gauss-Jordan elimina
11/7/2016
Example - Solution
Example
Solve the following system using the augmented
matrix method.
2 x3 7 x5 12
x1 2 x2 5 x3 3x4 6 x5 14
2 x1 4 x2 5 x3 6 x4 5 x5 1
Step 1. Locate the leftmost column that does not consist entirely of zeros.
Step 2. Int
9/27/2016
Section 3.2 - Compound Interest
Compound Interest
Unlike simple interest, compound interest on an amount
accumulates at a faster rate than simple interest.
The basic idea is that after the first interest period, the amount
of interest is added