Mathematics for Economics and Business 2 (ECON204)
Faculty of Economics and Management Science (FEMS)
Semester: Resit
Level: 200
Year: 2019
PART ONE – DR. DOBDINGA
Question one (10 marks)
a) Solve the equation
, with the initial condition
b) Integrate the function
Question two: (15 marks)
Assume that the rate of investment is described by the function
and that
Find the time path of capital stock, K and hence find capital accumulated
between the intervals [0, 3] and [2, 5]
Question three (15 marks)
a) The marginal cost function is given as
and the unit price is 250FRS
- Determine the Total Cost function if Total Fixed Cost equals 1,500F.
- Determine the profit maximizing output and hence the total profit/loss of the firm
PART TWO-DR. TAMBI
Exercise one: 10points
Consider the following matrix:
What is the inverse of this matrix?
Exercise two: 5 points
A=
What is the determinant of A?
Exercise three: 15 points
.
a. Does this matrix have an inverse?
b. What is A
t
c. A
t
x A
d. A
2
+A-3A
e. Determine the Eigen values.
f. What are the Eigen vectors?
g. Diagonalize the matrix
THE UNIVERSITY OF BAMENDA
FACULTY OF ECONOMICS AND MANAGEMENT SCIENCES
Resit Course: Maths for Economics and Management 2: ECON204
Credit Value:
Course Lecturers:
Time: Course Status: Date:
Venue: Instruction:
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