Common for M.B.A. (G)/B & F/EM/HM/IB/T/PM/HRM/CS/RM/

LM/TM/CM/MM/SM/FM/P & OM DEGREE EXAMINATION,

MAY 2018.

First Semester

QUANTITATIVE TECHNIQUES

(2013-14 Academic Year and 2014 Calendar Year onwards)

Time : Three hours Maximum : 100 marks

SECTION A -- (5 × 8 = 40 marks)

Answer any FIVE questions.

All questions carry equal marks.

1. What are linear functions? Comment on the slope of linear functions.

2. An animal feed company must produce 200 kg of a mixture consisting of ingredients x_{1} and

x_{2} daily.x_{1} costs Rs. 3 per kg and x_{2} Rs. 8 per kg. No more than 80 kg

of x_{1} can be used and atleast 60 kg of x_{2} , must be used. Formulate a Linear

programming model to minimize the cost.

3. Solve the transportation problem using north-west corner method.

D E F G Supply

A 11 13 17 14 250

B 16 18 14 10 300

C 21 24 13 10 400

Demand 200 225 275 250

4. Explain the role of probability in business decision making.

5. Explain the role of simulation in business decision making.

6. Describe the concept of Minimax-Maximin principle.

7. Explain the steps in determination of Break Even Point.

8. A candidate is selected for interview for three post for the first post there are 3 candidates,for the

second post there are 4 candidates and for the third post there are 2 candidates. What is the chance

of his getting atleast one post?

SECTION B -- (4 × 15 = 60 marks)

Answer any FOUR questions.

All questions carry equal marks.

9. Argue for and against "profit maximisation".

10. Solve the following LP using Graphical method.

Maximize Z = 6X_{1 }= 8X_{2}

Subject to

5X_{1} +10X_{2} < 60

4X_{1} +4X_{2} < 40

X_{1},X_{2} > 0.

11. Obtain an initial basic feasible solution, to the following transportation problem using Vogel's

approximation method

A B C D Supply

1 40 25 22 23 100

2 44 35 30 30 30

3 38 38 28 30 70

Demand 40 20 60 80

12. A company uses 3 machines A, B and C. The proportion of products produced by the machines

are 0.3, 0.48 and 0.22.The percent defective for each machine is 1%, 2% and 3%of their individual

output. A defective output is drawn from a day's production. What is probability that it was not

produced by A?

13. Discuss the use of simulation in managerial decision

making.

14. Describe the criteria for decision making under

uncertainty.

15. What is probability? Describe the theories of probability.

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