Prepared by Dr. Richard Ng

1. BBMP 1103
Mathematic Management
Exam Preparation Workshop Sept 2011
Part 5 - Application of Integration
Presented By: Dr Richard Ng
26 Nov 2011
2ptg – 4ptg

2. 5. Focus on Application of Integration
Question: 12 (May 2010)
Prepared by Dr Richard Ng (2011) Page 2

3. Suggested Answers:
i) Given C' 30x
Hence, C 30x.dx
x2
30 c
2
15x 2 c
When x = 0, c = 15000
Hence, C 15x 2 15000
Prepared by Dr Richard Ng (2011) Page 3

4. ii) When x = 100:
C 15(100) 2 15000
150000 15000
165000
When x = 150:
C 15(150) 2 15000
15(22500) 15000
352500
Hence, increase in cost = 352500 - 165000 = RM187,500
Prepared by Dr Richard Ng (2011) Page 4

5. Question: 13 (Jan 2010)
Prepared by Dr Richard Ng (2011) Page 5

6. Suggested Answers:
80000
i) Given C '
x2
80000
Hence, C 2
.dx
x
80000x 2 .dx
1
80000x
c
1
80000
c
x
Prepared by Dr Richard Ng (2011) Page 6

7. When x = 0, c = 27000
80000
Hence, C 27000
x
ii) When x = 200
80000
C 27000
(200)
400 27000
26600
Prepared by Dr Richard Ng (2011) Page 7

8. When x = 400
80000
C 27000
(400)
200 27000
26800
Hence, increase in cost = 26800 - 26600 = RM200
Prepared by Dr Richard Ng (2011) Page 8

9. End of
Part 5