~II No. ......................

. Total No. of Questions : 07] [Total No. of Pages: 03

. MBA. (Sem. -3rd)

APPLIED OPERATIONS RESEARCHSUBJECT CODE: MB -301

Paper ID: [COllI][l'l°te : Please fill subject code and paper ID on OMR)

Time: 03 Hours

Instruction to Candidates: ~

1) Section -A is Compulsory.2) Attempt any Four questions from Section -B.

Section - A

Maximum Marks: 60

(10 x 2 =20)

Ql) Explain briefly the following termslMethods in the context of OperationsResearch. . .

a)

. b)

c)

d)

e)

f),

g)

h)

i)

Q2) (a)

Operations Research.

Sensitivity analysis.

Degeneracy in transportation model.

VAM.

'EOQ.

DominancePrinciple.

Hurwitz decision criterion.

M/M/I Model.

j)

DynamicProgramming.

.Duality'Theorem.

Section- B(4, x 10 = 4;0)

Solve the following by graphi~almethod.

Maximize z ~. 3x + 2y subject to-2x+ 3y:::;;9x - 5y ~ ~20

. .x, y ~ o. .J-688{8129} R.T.o.

(b) Write the dual of the following LPP

Max. Z = 4XI + 2.x2 subject to

Xl -2.x2 ~~ .Xl + 2.x2 = 8Xl - X2 ~ 10 .

Xl ~ 0, X2unrestricted in sign.

1

Q3) Solve the following transportation problem and interpret the result..Market

-Q4) The management of a large hotel is considering periodic replacement of thelight bulbs fitted in its rooms. There are 500 rOO1)1Sin the h.oteland each roomhas 6 bulbs. The management is now following the policy of replacing thebulbs as they fail at a cost of Rs. 3 per bulb. The management feels that thiscost can be reducedto Rs. 1 by.adoptingthe periodic replacementmethod. .

,,::. Onthebasisof informationgivenbelowevaluatethe alternativesandmakearecommendation to the management.Month of use: 1 2 3 4 5

% of Bulb failing: 10 25 50 80 100by that month.

Q5) Draw the network diagram for the foll<;>wingactiviti~s and find the critical pathand duration of the project.

Activities: ABC D E F G H I

ImmediatePredecessor

Activity

Duration(<h,1ys):9 4 7

J K L

B,C ACE E

8 7 9 to 8

D,E,H E I,J G

6 9 10 7,

Q6) (a) Solve the following two person zero sum game.

[

1 7 3 4

]

5 6 45

720 3

J-688 . 2

1 2 . 3 4 SupplyA 5 2 4 3 22

Ware-house B 4 8 1 6 15

.C 4 6 7 5 8

Requirement 7' 12 17 9

~.. (b) What is inventory Management? Discuss various relevant costs associated

with it with examples. .

Q7) Write brief note on the following (Any Two) :

(a) D€cision Making under risk.

(b) Queuing Models

(c) Decision TreeAnalysis.

...

J-688 3