Anna University Chennai 2007 Post Graduate Diploma Marketing Management MS-51 : OPERATIONS RESEARCH - Question Paper

MANAGEMENT PROGTTAMME
June,2OO7
MS-51 : OPERATIONS RESEARCH
T'ime : three hours Msximum Marks : 140
(Weightase 70%)
Note : ans any 4 ques..
l. (a) Formulate the transportation issue as generalised
linear programming issue.
(b) obtain the optlmum transportation cost for the
subsequent issue. The unit transportation cost is
provided in the matrix beneath : 70+75:25
[:rom
Available
2
6
7
A
B
C
15 10 17 18
L6 13. t2 13
L2 17 20 11
MS.51
Requirement
P.T.O.
2 . (a) explain the different costs associated with
problem. Also discuss the ccncept of
queulng
optimum
3 .
service rate and optirnum cost.
(b) provided avg. arrival rate _ eight per hour, avg.
service time-5 min, compute the avg. queue
length, waiting time and idle time of facilities.
72+73 :25
(a) discuss the different inventory control systems.
(b) A garment rnanufacturing firm buys 500 boxes
which is a 3-months supply. l'he cost per box is
Rs. I25/- and the orclering cost is Rs. 750/-. The
inventory carryinSj cost is estimated at 20a/o of unit
value "
(i) What is the total annual cost of the existing .:
inventory policy ?
(ii) How much money could be saved by employing
the econornic orcler volume ? 10+15:25
(a) discuss MAXIMIN, Saddle point, Pure strategy and
Mixed strategy.
(b) Solve the subsequent game whose pay-off matrix is provided
below.
Firm A
4 .
3 five six five two five 5
3 0 two 0 one five 0
4 0 five 0 0 one 0
55 60 10 15
MS-tt1
72+73:25
5. (a) Write the DUAL of the subsequent PRIMAL issue.
Also provide the interpretation of both PRIMAL and
'
DUAL issue in general.
Minimizez :3*, + 2.25x,
Subject to
2*, + 4*, > 40
3*, + 2*,
*1' *2
(b) Solve the Dual issue provided in 5(a) through
Simplexm ethod. 72+73:25
:,
6. Write shog notes on any 4 of the subsequent : 25
(a) Principleo f Modellingi n O.R,.
(b) Branch and Bound method for solving Integer
Programming issue
(c) Sensitivity Analysis of LP-Problem
(d) Non-Linear Programming
(e) Simulation
MS.51 3,000

Earning:   Approval pending.