ST STITHIANS GIRLS COLLEGE
MATHEMATICS: PAPER 1
CORE MATHS: GRADE 12
DATE: July 2012
TIME: 3 hours
Examiner: Mr Ancillotti
MARKS: 150
Moderator: Mrs Ross
NAME:
TEACHER: Mr Ancillotti
Ms Hewitt
Mrs Ross
Mrs van Rooy
ANSWER BOOKLET
QUESTION
#
1
2
3
4
5
6
7
8
9
10
11
12
13
TOTALS
MARK AWARDED &
LEARNING OUTCOME
LO1
LO2
%
/11
/20
/11
/14
/13
/9
/9
/12
/11
/13
/9
/14
/4
/58
/92
/ 150
%
ANSWER SHEET
QUESTION 12 – answer this question in the spaces below.
Dr TT Masibuko is a cosmetic surgeon who operates from Sandton Clinic. He specialises in
Breast Augmentation and Botox shots. He is also a workaholic and can perform up to 90
‘operations’ per day.
At least 20 of these operations must be for Breast Augmentation and at least 30 for Botox in
order to satisfy his daily quota. He performs as many operations as possible and at least as many
Botox operations as Breast Augmentations but not more than twice as much.
a)
Write down the 5 constraint equations, as inequalities, where x  number of
Breast Augmentations and y  number of Botox operations, and x, y 0 .
(5)
b)
Draw the inequalities on the axes provided. Show the feasible region clearly.
100
(5)
y
90
80
70
60
50
40
30
20
10
x
10
20
30
40
50
60
70
80
90
100
c)
If the profit on Breast Augmentation operations is R 3 000 and the profit on Botox
operations is R 2000, determine an equation for the objective function and hence,
determine how Dr TT should allocate his operations in order to obtain a maximum
profit?
(3)
d)
Calculate the maximum profit.
(1)
[14]