# Mathematics for Management

## Mathematics for Management

• Submitted By: anizah0103
• Date Submitted: 12/03/2014 4:47 AM
• Words: 784
• Page: 4
• Views: 1

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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

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?

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

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

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