Business Mathematics 2 (MGTC3204)

Higher Institute of Commerce and Management (HICM)

Semester: Second Semester

Level: 300

Year: 2014

Answers (200 )
UNIVERSITY OF BAMENDA
HIGHER INSTITUTE OF COMMERCE AND MANAGEMENT
Second Semester Examination
Departments: ALL
Examiner: Prof Njimanted, G. Forgha
Course Code: MGSC204
Starting Time; 8 AM
. Course Title: BUSINESS MATHEMATICS 11
Stopping Time; 11AM
Credit value: 6
Venue; All, PB
Time Allowed: 3hrs
Date; 17 July, 2014
Instructions: Answer all questions
1 Given the firm revenue and total cost functions as; R=5900Q- 10Q
2
,
and TC=2q
3
-4q
2
+14q +845. You are required to: (a) find the output level (q) that will maximize the
firm’s profit and (b) What is the maximum profit? 10 marks each
2).An economy is divided into three sectors namely: the agricultural sector (AS), the manufacturing
sector (MS) and the Banking Sector (BS) as presented below.
Input/Output AS MS BS
200 100 225
100 150 300
200 450 400
Final
Demand
Total
Output
AS
MS
BS
Complementary
demand
X
1
X
2
X
3
X X
n
Total Input 700 800 1200
X
n
K
You are required to;
i.
Find the values of X
1
, X
2
, X
3
, X
n
and K (5mks)
ii.
Find tile matrix of the technical coefficient and interpret your results (5mks)
iii.
If the matrix of the technical coefficient is presented as A. find the determinant of the matrix (I-
A)=B where I is the identity Matrix and solve the input output completely (20marks)
3. . Evaluate the following integral functions
i.
(
+)dx ii.
(
+ + )
iii.
( 
+  + ) iv.
(
)
dx ( 5 mks each)