FACULTY OF SCIENCE
DEPARTMENT OF MARKETING
MODULE:
MATHEMATICS FOR MARKETERS A– CMS05A
CAMPUS:
APB
ASSESSMENT:
SEMESTER TEST 2
DATE:
08 MAY 2019
ASSESSORS:
MR MSW POTGIETER
INTERNAL MODERATOR:
MS. C VAN NIEKERK
DURATION:
1.5 HOURS
INITIALS AND SURNAME:
________________________________________________________
STUDENT NUMBER:
________________________________________________________
CONTACT NUMBER:
________________________________________________________
55
NUMBER OF PAGES: 6 (INCLUDING COVER PAGE)
INSTRUCTIONS:
 ANSWER ALL THE QUESTIONS IN PEN.
 ALL GRAPHS MUST BE DRAWN IN PEN.
 NO PENCIL OR TIPEX ALLOWED.
 SHOW ALL THE NECESSARY CALCULATIONS CLEARLY.
 IF FORMULAS ARE USED THEY MUST BE STATED AS MARKS ARE GIVEN TO THEM.
 ONLY SCIENTIFIC CALCULATORS ARE ALLOWED.
 IF NECESSARY, ROUND OFF TO TWO DECIMAL PLACES.
 THE QUESTIONS CAN BE ANSWERED IN ANY ORDER.
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-2-
Question 1
[5]
Match column A with column B.
Column A
2.1
2.2
2.3
2.4
2.5
Colum B
Gradient of 9
1
(0; 1)
Collection of all output values
Polynomial
A.
B.
C.
D.
E.
9
+3
(0) = 1
Range
= 9 +5
Please indicate your answer in the table below.
Question
Answer
1.1
1.2
1.3
1.4
Question 2
1.5
[11]
2.1
Determine the equation of the line passing through (2; 10) and (0; 0).
2.2
Determine the equation of a line that is perpendicular to:
=
[3]
−1
+5
7
And passes through the point (1; 10)
[4]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-3-
2.3
Given:
=
3
− 12
Sketch the graph of the function, calculate and indicate all intercepts. Label all
axes.
[4]
Question 3
[13]
Given the following function:
= ( )=
− 1 − 12
3.1
Calculate the
intercept(s).
[4]
3.2
Calculate the
intercept.
[2]
3.3
Find (7).
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-4-
3.4
Find
(
)
.
[3]
3.5
Find the domain of ( ).
[1]
3.6
Determine if the determinant of ( ) positive, negative or zero.
[1]
Question 4
Solve for
[10]
in the following inequalities.
4.1
2 −9 > 8+2
4.2
( + 7)( − 4) <
[2]
−9
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-5-
4.3
−1 ≤
+ 3 < 10
[3]
4.4
15 > 3 − 5 > 10
[3]
Question 5
Solve for
5.1
[5]
in the following equations:
|5 − 9| + 11 = 25
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-6-
5.2
7
−4 −9=0
[3]
Question 6
[4]
Find the domain of the following functions:
6.1
6.2
=
[2]
√7 − 5 = ( )
[2]
Question 7
[3]
Suppose the price ( ) of a product is R 650.00 when the demand is 200 units. If the
demand increases to 300 units the price drops to R 150.00.
7.1
Find the linear demand function for the given information. (Hint:
=
+ )
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-7-
7.2
Using the function obtained in 7.1 determine the price when the demand is
100 units
[1]
Question 8
[4]
The total cost function for NEC electronics expressed in terms of number of units, , is
given as:
( ) = 200 + 12,000
= 100 :
10.1
Determine the cost when the quantity is
[1]
10.2
If NEC sells their product at 350.00 per unit, determine a function that relates
revenue to the number of units, .
[1]
MATHEMATICS FOR MARKETERS A – CMS05A – Semester Test 2 – 2019
-8-
10.3
Determine NEC's breakeven point.
[2]
ANNEXURE A
=
−
− ±√ −4
2
= ( + )( − )
=
−
−
=
+
End of Assessment – Total 55 Marks
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