FACULTY OF BUSINESS AND MANAGEMENT
SEMESTER: MAY 2014
BBMP 1103
MATHEMATICS FOR MANAGEMENT
MATRICULATION NO :
TELEPHONE NO. :
E-MAIL :
LEARNING CENTRE :
QUESTION 1
a) Find the straight line that passes through point (2,4) and is perpendicular to line 2x + 12y – 6 = 0
Answer
m = 6
x1 = 2
y1 = 4
m = (y-y1) / (x-x1)
6 = (y-4) / (x-2)
y-4 = 6(x-2)
y-4 = 6x-12
y = 6x-12+4
y = 6x-8
b) Given the function y = 3x² – 11x + 6 = 0
What is the value of x?
Answer
y = 3x² - 11x + 6 = 0
(3x -2)(x-3) = 0
3x-2=0 x-3 = 0
x = 2/3 or x =3
QUESTION 2
Given the following information
Particulars
Product X
Product Y
Units sold (quantity)
400
500
RM
RM
Sales price per unit
50
80
Electricity expenses
10
12
Telephone expenses
13
14
Salaries expenses
16
18
Fixed cost rental expenses
2000
1000
You are required to calculate the following for both products:
a) Total revenue
b) Total cost
c) Total profit
d) Breakeven point in RM and units
e) Units need to be sold of profit of RM1000 is targeted
Answer 2(a)
Total revenue = Price per unit x Units sold (quantity)
Product X
Total revenue = RM50 x 400
= RM20,000.00
Product Y
Total revenue = RM80 x 500
= RM40,000.00
Total revenue for both product is RM60,000
Answer 2 (b)
Total cost = Fixed cost + Variable cost
Total cost for product X
2,000 + (10 + 13 + 16)q q = 400 (quantity sold)
2,000 + (39)(400)
2,000 + 15,600
Total cost for Product X is RM17,600
Total cost for product Y
1,000 + (12 + 14 + 18)q q = 500 (quantity sold)
1,000 + (44)(500)
1,000 + 22,000
Total cost for Product Y is RM23,000
Answer 2(c)
Total profit = Total revenue – Total cost
Total profit for product X
20,000 – 17,600
= RM2,400.00
Total profit for product Y
40,000 – 23,000
= RM17,000...