Mathematics for Economics and Business 2 (ECON2204)
Faculty of Economics and Management Science (FEMS)
Semester: Resit
Level: 200
Year: 2016
Duration: 3 hours
Instructions: answer all questions
Part one: Dr. Dobdinga
Question one (10 marks)
a) Solve the equation
+ 2=6, with initial condition
0
=10
b) Integrate the function
=
2
− 6
Question two (15 marks)
Assume that the rate of investment is described by the function
=3
.
+ 3 and that
0
=
1,000; find the time path of capital stock, K and hence find capital accumulated between the
interval [0, 3] and [2, 5]
Question three (15 marks)
a) The marginal cost function is given as !"=2#
− 40#, and the unit price is 250frs
I. Determine the total cost function if total fixed cost is equals 1,500frs
II. Determine the profit maximizing output and hence the total profit/loss of the firm
PART TWO: Dr. Tambi
Exercise one: 10pts
Consider the following matrix %=&
1 0 1
2 −1 1
0 1 −1
' what is the inverse of this matrix
Exercise two: 5 pts
%=(
3 1 1 1
1 3 1 1
1 1 3 1
1 1 1 3
)
What is the determinant of A
Exercise three: 15 pts
THE UNIVERSITY OF BAMENDA
FACULTY OF ECONOMICS AND MANAGEMENT SCIENCES
2nd Semester Resit Course e: Maths for Econs and Business 2
Course Code: ECON204
www.schoolfaqs.net
%=&
1 0 1
0 2 0
1 0 1
'
a) Does this matrix have an inverse?
b) What is A
t
c) A
t
x A
d) A
t
+ A – 3A
e) Determine the Eigen values
f) What are the Eigen vectors?
g) Diagonalised the matrix
www.schoolfaqs.net
