QUAN 111 FINAL EXAM 2008
Time Allowed:
THREE HOURS
Instructions:
1.
Answer all questions.
2.
Include relevant working and state all numerical answers to 3 decimal places, unless
otherwise indicated.
3.
Calculators are permitted, provided they do not have

QUAN 111
1.
Simplify the following expressions:
(a)
(b)
2.
(5 x
y) 2 ( x 5 y) 2
4x 4 y
(2 x 3 y 5 z 4 ) 4
(2 x 3 y 2 z 4 ) 2
Are these statements true or false? If false, supply the correct answer.
(a)
(b)
(c)
(d)
(e)
(f)
3.
Tutorial 1 (Week 2)
x0 0
( a b

QUAN 111
ASSIGNMENT 2
2012
Due on Monday, 20 August by 3 pm.
The boxes for handing in assignments are situated in Murphy Building, level 2 (by
lecture theatre 220). They are marked by course name, tutor name and tutorial times.
Please make sure you put yo

QUAN 111
1.
Tutorial 7 (Week 11)
A company sells its product in both Australia and New Zealand. The companys
total cost is: TC 60 3( x y) . In Australia, the price at which x units can be sold
is: p 10 0.1x . In New Zealand, the price at which y units can

QUAN 111
Tutorial 5 (Week 8)
1.
Calculate the price elasticity of demand at p = 4 if the demand equation is:
q = 700 35 p for 0 p 20 .
2.
If f ( x) = 2 x 2 +
(a)
8
x2
Find f (x ) and f (x) .
(b)
Over what values of x is the function concave?
(c)
Find the

QUAN 111
1.
Tutorial 6 (Week 10)
Find all of the first and second partial derivatives of:
(a) f ( x, y) x 3 4 x 2 y 4 y 3
(b) f ( x, y) 2 x 2 y 0.5
(c) f ( x, y) ln(1 xy )
2.
Find the partial derivative of z with respect to x if z 3uv , u x 3 y 2 and
v 6

QUAN 111
MATHEMATICS FOR ECONOMICS AND FINANCE
EXAMINATION 2010
Time allowed: Two hours
Instructions:
This examination is in two parts; Part 1: 30 multiple choice questions, and Part 2:
two questions requiring working to be shown.
Make sure that you have

QUAN 111
MATHEMATICS FOR ECONOMICS AND FINANCE
MID-TRIMESTER TEST 2, 2010
Time allowed: 50 minutes
Instructions:
Make sure that you have written your name, and student ID number on
the separate answer sheet in the correctly coded way. Enter your
answers o

QUAN111
MATHEMATICSFORECONOMICSANDFINANCE
FINALEXAMINATION2009ANSWERS
QUESTION1(20marks)
(a) (3 marks) The number of people N(t) in a community who are reached by a
(scandalous)rumourattime t (indays)canbeapproximatedby:
N(t)=500+ 10 0.2t
e
Howmanypeoplec

QUAN 111
1.
Tutorial 8 (Week 12)
Suppose x (2, 4, 6) , y (0, 1, 1) and z (3, 2) .
(i) Find these vectors (where defined):
(a) 2x
(b) 0.3x + 0.4y
(c)
2(3x - y)
(d)
x y z
(ii) Compute | x | , | y | and | z | .
2.
7
2
3
(a) Express as a linear combination

EXAMINATIONS 2009
TRIMESTER2
QUAN111
MATHEMATICSFORECONOMICS
ANDFINANCE
Timeallowed: THREEHOURS
Instructions: Answerall questions
Include relevant working and state all numerical answers to 2
decimalplaces,unlessotherwiseindicated.Somecreditisgiven,
even

QUAN 111
MATHEMATICS FOR ECONOMICS AND FINANCE
EXAMINATION 2010
Time allowed: Two hours
Instructions:
This examination is in two parts; Part 1: 30 multiple choice questions, and Part 2:
two questions requiring working to be shown.
Make sure that you have

QUAN 111_2013_T2
Assignment 2 Answers
1.
(a) 3x 2 2 x 10 0 .
There are no real solutions as b 2 4ac (2) 2 4(3)(10) 0 .
3
(b)
x 2 , where x 0 .
x
Multiplying both sides by x gives
3 x 2 2 x x 2 2 x 3 0 ( x 3)( x 1) 0 , so x 3 or 1 .
(c) x( x 2) 3x( x 2) 3

QUAN 111
ASSIGNMENT 4
2012
Due on Monday, 8 October by 3 pm.
The boxes for handing in assignments are situated in Murphy Building, level 2 (by
lecture theatre 220). They are marked by course name, tutor name and tutorial times.
Please make sure you put yo

QUAN 111_2013_T2
Assignment 3 Answers
1.
Solve the equations:
(a) 4e 2 x3 5 e 2 x3 1.25 2 x 3 ln(1.25) x 1.61
(b) 6 ln x 4 0 ln x 4 / 6 x e 2 / 3 1.95
2.
Invert the function p e 50.5q .
Since p 0 , taking natural log of both sides, ln p 5 0.5q . Solving f

QUAN 111_2013_T2
Assignment 4 Answers
1.
The cost (in thousands of dollars) of producing x thousands of Acrosonic
loudspeaker systems is:
TC 12 x 2 50 x 3 .
Price p (in $ per unit) and quantity demanded (x thousand units), which are both
required to be no

QUAN 111_2013_T2
Assignment 1 Answers
1. Simplify the following expressions:
(a)
12
x+2 x+4
=
x 4 x 2 ( x 2)( x 4)
(b)
(25 x 4 y 6 z 8 ) 0.5 5 x 2 y 3 z 4
5
= 4 6 8 = 5 x 2 y 3 z 4 or 2 3 4
2 3 4 2
(x y z )
x y z
x y z
(c)
ln
x2
ln( x 4 y 5 ) = 2 ln x 8

QUAN 111
ASSIGNMENT 1
2012
Due on Monday, 6 August by 3 pm. Put it in your tutors box on Murphy level 2.
Do not put it in a wrong box.
Make sure that the box has your tutors name on it.
1. Consider a company deciding how to price the shoes it produces. Le