RMIT
FINAL EXAMINATION
RMIT BUSINESS
SCHOOL OF ECONOMICS AND FINANCE
ECON1061 :QUANTITATIVE ANALYSIS
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 20 questions in the paper.
2.
The exam is marked
RMIT
FINAL EXAMINATION
RMIT BUSINESS
DEPARTMENT OF ECONOMICS AND FINANCE
EF230: QUANTITATIVE ANALYSIS.
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 19 questions in the paper.
2.
The exam is mark
Practice Exam 1 : Solution
Solutions : Quantitative Analysis Practice exam 1
Q1. (a) It is a linear function.
(b) (i)
0
(ii)
1
R
elasticity 0 . Mt
(iii)
R it
Q2.
(a) Find the values of x for which y = 0.
(b) Discriminant
(c) It can be used to find out how
SCHOOL OF ECONOMICS, FINANCE AND MARKETING
Practice exam 4
COURSE:
FINAL EXAMINATION
QUANTITATIVE ANALYSIS
DATE:
TIME:
EXAMINATION DETAILS:
Reading time:
Writing time:
15 minutes
3 hours
Total number of pages:
9
INSTRUCTIONS TO CANDIDATES:
1. The question
Practice Exam 1 : Solution
Solutions : Quantitative Analysis Practice exam 1
Q1. (a) It is a linear function.
(b) (i)
0
(ii)
1
elasticity
(iii)
Q2.
Rit
Rmt
x
R Mt
Rit
1 .
RMt
Rit
(a) Find the values of x for which y = 0.
(b) Discriminant
(c) It can be u
Solutions for Week 6 Tutorial 5
67.
x1= -17+x3
x2=41-2x3
x3=t
Possible t values are: 17,18,19,20
69. Minimum cost is $24,100 when the company leases 7 16,000 gallon tanks and 17 24,000 gallon
tanks.
Week 11 - Tutorial 10 - Solutions
Problem 23:
Model A=60
Model B=30
Minimum cost=$32,400
Problem 25:
a) Labor = 8000 units, Capital = 1000, max = 263,902 units
b) Marginal productivity of money=0.6598, resulting in additional production of
32,990 units
Pr
Group Assignment
Of quantitative analysis
1.0 Introduction
This report aims to analyse the sales performance of Asbestos Free within 1993-2013. In the next
part, it examines the relationship between sales volume and multiple variables in terms of the tren
Solutions for Week 5 Tutorial 4
71. x = 75, y = 50
72. x = 60, y = 28.5
73.
a) a = -16, b = 196
b) s = 196
c) 3.5 seconds
74.
a) a = 256, b = -16
b) s = 256
c) 4 seconds
75. Let T1 = time for primary wave to reach the station and T2 = time for secondary w
Solutions for Week 2 Tutorial 1
Warn up problems
1.
2.
3.
4.
5.
x = 1 y = -5
No solution
x = -4/3 y = 1
Infinity solution
x = 0.4/0.7 y =0.3/0.7
Application Questions
1.
2.
a)
b)
c)
3.
x = 41 y= 56
a = 196, b = -16
s = 196 (let t = 0)
3.5 seconds (let s =
Week 12 Tutorial Questions:
Constrained Optimisation (using Lagrange Multiplier method)
1. A manufacturing company produces two models of an HDTV per week,
model
A
and
y
2
C ( x , y ) =6 x +12 y
units of model
B
x
units of
at a cost (in dollars) of
2
If i
SCHOOL OF ECONOMICS, FINANCE AND MARKETING
ECON1061 QUANTITATIVE ANALYSIS
SEMESTER 2 2016 MELBOURNE
Group Assignment (Thursday & Friday Tutorials)
Marks: 25
(23 marks related to your solutions, 2 marks for presentation etc.)
Due: 30 September at 11:59 PM
Solutions to Quantitative Analysis Practice exam 2
Q.1 (a) Cobb-Douglas production function
(b) A 1% increase in labour input, whilst holding capital constant, will result in a 0.7% increase in output. A
1% increase in capital input, whilst holding labour
PRACTICE SET FOR Q.A. EXAM
Q.1 In finance the equation for the market model is:
Rit
Where:
0
1RMt
Rit
= the returns on share i at time t, and
RMt
= the returns on the market at time t.
(a) What type of mathematical function is this? That is, what name wou
ECO2IQA 2015 Chapter 6 Solutions
Part 1
Note: Recall if y f x then
dy
and f x all mean the first derivative
dx
d2y
y and
and f x all mean the second derivative
dx 2
y and
1. Power rule. Used to differentiate power functions and thus polynomials
too.
a. Do
ECO2IQA 2015 Chapter 3 Questions
1. Breakeven model. Do Exercise 3.3 Question 3 from p. 126 of the
textbook.
2. Simultaneous Linear Equations.
a. Do Exercise 3.1 Questions 2, 3, 7 and 8 from p. 111 of the
textbook.
b. How many solutions are there to the f
ECO2IQA 2015 Chapter 4 Solutions
Part 1
1. Quadratic functions.
a. Do as many questions from Exercise 4.1 (p. 152 of the textbook)
as you need to until you are comfortable with solving quadratic
equations. Note: there is an error in the solution in the ba
ECO2IQA 2015 Chapter 9 Solutions
Part 2
1. An upper triangular matrix is a matrix whose elements below the main
diagonal are all zero. A lower triangular matrix is a matrix whose
elements above the main diagonal are all zero.
a
0
Let D be any 2 x 2 diagon
Solutions to Quantitative Analysis Practice exam 3
SECTION 1
Q1
(a) Q K L
(b)
Q K L
1
K Q L
(c) Quantity
Q2
Q = 21.7 and 2.3
Q4
(a)
ln y ln ax b
ln y ln a b ln x
(b)
ln y ln ae cx
ln y ln a cx ln e
ln y ln a cx
Q5
(a)
P 19e 0.03t
(b)
P 19e 0.12
21.42244
RMIT
FINAL EXAMINATION
RMIT BUSINESS
SCHOOL OF ECONOMICS AND FINANCE
EF230: QUANTITATIVE ANALYSIS.
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 20 questions in the paper.
2.
The exam is marked o
TUTORIAL 1 : SURDS, LOGARITHM
1] Solve the following equation
2ln(x) ln(x+1) = 0
2] Simplify the following expression to a single term
10
3log( x) log 2 log(10 x)
x
3] A firm charges a fixed price of $80 for each shirt sold. The firm has a total cost fu
Chapter 15
Multivariable
Calculus
Section 2
Partial Derivatives
Learning Objectives for Section 15.2
Partial Derivatives
The student will be able
to evaluate partial
derivatives and secondorder partial derivatives.
Barnett/Ziegler/Byleen College Mathemati