DISTANCE EDUCATION
M.B.A. (Tourism) DEGREE EXAMINATION, MAY 2017.
First Semester
QUANTITATIVE METHODS
(Upto 2012 2013 Academic Year and 2013 Calendar Year)
Time Three hours Maximum 100 marks
PART A — 8 40 marks)
Answer any FIVE questions.
1. What is break even point? Explain the uses of break even
analysis.
2. What is trade-off? Write its importance.
3. Explain the applications of linear programming.
4. Discuss in detail the role of linear programming in
managerial decision making, bringing out its limitations.
5. Find the maximum value of
z 2x1 3x2
Subject to x1 x2 30 x2 x2 12
x1 x2 0 0 x1 20 .
(by graphical method)
Sub. Code
14
DE-550
2
Sp7
6. Explain the theorems of probability.
7. Write the applications and limitations of the simulation
technique.
8. Explain with suitable examples the maximin, the
minimax and the regret criteria in decision making.
PART B — × 15 60 marks)
Answer any FOUR questions.
9. Write short note on the following
Variables and function
Relevance of marginal average and total costs.
10. Use duality to solve the following L.P.P
Maximize z 2x1 x2
Subject to the constraints
x1 2x2 10 x1 x2 6 x1 x2 2 x1 2x2 1
x1 ,x2 0 .
11. The standard weight of a special purpose brick is 5 kg
and it contains two basic ingredients B1 and B2 .
B1 costs Rs. 5 per kg and B2 costs Rs. 8 per kg. Strength
considerations dictate that the brick containts not more
than 4 kg of B1 and minimum of 2 kg of B2 . Since the
demand for the product is likely to be related to the price
of the brick, find out graphically minimum cost if the
brick satisfying the above conditions.
DE-550
3
Sp7
12. Use Vogel's approximation method to obtain an initial
basic feasible solution of the transportation problem.
D E F G Available
A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Demand 200 225 275 250
13. Write short note to the following
Conditional probability
Event
Joint probability.
14. Explain the use of Monte-Carlo simulation in queuing
theory also write the advantages and limitations of using
simulation.
15. What do you understand by Decision-tree analysis? What
is the significance of utility as a basis of decision-making?
State the assumptions underlying the theory of utility.