DISTANCE EDUCATION
B.C.A./B.C.A. (Lateral) DEGREE EXAMINATION, MAY 2017.
MANAGEMENT PRINCIPLES AND TECHNIQUES
(2003 onwards)
Time Three hours Maximum 100 marks
Answer any FIVE questions.
20 100)
1. Use simplex method to solve
Min Z x1 3x2 2x3
Subject to the constraints
0
4 3 8 10
2 4 12
3 2 7
1 2 3
1 2 3
1 2
1 2 3




x x x
x x x
x x
x x x
2. Solve the following transportation problem:
D1 D2 D3 D4 Availability
O1 19 30 50 10 7
O2 70 30 40 60 9
O3 40 8 70 20 18
Requirements 5 8 7 14
Sub. Code
35
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3. ABC Ltd. planning a project to introduce a new product
as listed:
Activity: A B C D E F G H I J
Preceeding
activity
A A A C D H
Expected
time (weeks)
6 3 5 4 3 3 5 5 2 3
Draw the network and find the critical path. If the start
of the activity B is delayed by 3 weeks, E by 2 weeks and
G by 2 weeks, how is the total time for the project
affected.
4. A project has the following details
Activity A B C D E F G H I
Preceeding
activity
A A B C D E,F
to 5 18 26 16 15 6 7 7 3
tp 10 22 40 20 25 12 12 9 5
tm 8 20 33 18 20 9 10 8 4
Construct the network and find the critical path. Also
determine the probability of completing the project within
41.5 weeks.
5. Machine A costs Rs. 9,000. Annual operating costs are
Rs. 200 for the first year and then increases by Rs. 2,000
every year. Determine the best age at which to replace
the machine.
Machine B costs Rs. 10,000. Annual operating costs are
Rs. 400 for the first year and then increases by Rs. 800
every year. You have now a machine of type A which is
one year old, should you replace it with B and if so when?
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6. The probability Pn of failure just before age n is given
below:
n 1 2 3 4 5 6 7 8 9 10 11
pn .01 .03 .05 .07 .1 .15 .20 .15 .11 .08 .05
Individual replacement cost is 1.25/item and group
replacement cost is 50 paise/item. Find the optimum
plan.
7. Describe the various steps involved in the process of
planning.
8. Define leadership. Discuss the various functions
performed by a leader.