Page 14 - 1202 Question Bank Mathematics Form 4

13. Ramesh opens a restaurant that needs x waiters and (c)
y cooks. Total waiters and cooks employed by y
Ramesh is not more than 100 person and the number
of waiters is not more than twice the number of 100
cooks employed. HOTS Applying
(a) Write two inequalities, other than x > 0 dan 90
y > 0, that satisfy the situation above. [3 marks]
(b) The third inequality is represented by the shaded 80
region in the graph in Diagram (a). Write, in
words, for the third inequality. [3 marks] 70
(c) Using Diagram (a), construct and shade the region
that satisfy the system of linear inequalities. 60
[3 marks]
(d) It is given that the monthly salary for each waiter 50
and cook employed is RM2 000 and RM4 000
respectively. Calculate, in RM, the maximum 40
salary allocation that need to be prepared by
30
Ramesh if he employed 60 cooks employed.
[3 marks]
20
Answer:
(a) 10
x
0 10 20 30 40 50 60

Diagram (a)
(d)

(b) ©PAN ASIA PUBLICATIONS

Section C

14. Diagram below shows two types of hotel room that is Type A room and Type B room can accommodate
available in a hotel in Kuala Lumpur. 2 and 3 person respectively. The hotel rental will be
charged with service tax of 6%.
(a) Mr. Rahman paid RM439.90 for a unit of
Type A room and a unit of Type B room
for a night stay. Madam Mariah paid
RM1 293.20 for 4 units of Type A room and
2 units of Type B for a night stay. Calculate, in
RM, the total payment payable by Mr. Siva if he

Type A room Type B room would like to rent 3 units of Type A room and
2 units of Type B room for 2-night stay.
[5 marks]
58 Question 13(d):
SOS TIP Draw the straight line y = 60 on the graph to get maximum value of x. Hence, determine the maximum salary of the allocation.
Question 14 (a):
The room rate of Type A room and Type B room can be obtained using simultaneous equation method.

C06 1202QB Maths Form 4.indd 58 21/02/2022 10:45 AM