Download JNTUH MBA 3rd Sem 2018 Nov Quantitative Analysis for Business Decisions Question Paper

Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA Third Year (3rd Year) 2018 Nov Quantitative Analysis for Business Decisions Question Paper.

HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-November,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) DescribeimportantfeaturesofOperationResearch. [7M]
(b) Stateandexplainclassi?cationofdi?erentmodelsavailableinpracticeofOperationsResearch.
[7M]
2. (a) DescribeimportantphasesofOperationsResearch. [7M]
(b) DiscussinbriefvariousapplicationsandscopeofOperationsResearchinbusinessscenario.[7M]
UNIT?II
3. (a) TheLPPmodelwithanobjectivefunctionofMaxZ=40 X
1
+35 X
2
hasafeasibleregioncovered
byOABCpointsingraphicalmethod.Findthevalueof X
1
, X
2
andMaximumZ.Thefollowing
aretheordinatesofpointsO(0,0),A(5,20),B(18,8)andC(24,0).IftheObjectiveistominimise
whatischangeinvaluesof X
1
, X
2
andMinZ. [7M]
(b)Fromthefollowingsimplextable?ndwhetherthesolutionisleadingtoanoptimalsolution?
[7M]
Table1
Cj 2 4 0 0 -M -M
Basis X1 X2 S1 S2 R1 R2 bJ
0 S1 0 0 1 3/4 -3/4 1/4 2
2 X1 1 0 0 -1/2 1/2 -1/2 2
4 X2 0 1 0 1/4 -1/4 3/4 12
?j ? ? ? ? ? ? MaxZ=?
Page1of4
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-November,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) DescribeimportantfeaturesofOperationResearch. [7M]
(b) Stateandexplainclassi?cationofdi?erentmodelsavailableinpracticeofOperationsResearch.
[7M]
2. (a) DescribeimportantphasesofOperationsResearch. [7M]
(b) DiscussinbriefvariousapplicationsandscopeofOperationsResearchinbusinessscenario.[7M]
UNIT?II
3. (a) TheLPPmodelwithanobjectivefunctionofMaxZ=40 X
1
+35 X
2
hasafeasibleregioncovered
byOABCpointsingraphicalmethod.Findthevalueof X
1
, X
2
andMaximumZ.Thefollowing
aretheordinatesofpointsO(0,0),A(5,20),B(18,8)andC(24,0).IftheObjectiveistominimise
whatischangeinvaluesof X
1
, X
2
andMinZ. [7M]
(b)Fromthefollowingsimplextable?ndwhetherthesolutionisleadingtoanoptimalsolution?
[7M]
Table1
Cj 2 4 0 0 -M -M
Basis X1 X2 S1 S2 R1 R2 bJ
0 S1 0 0 1 3/4 -3/4 1/4 2
2 X1 1 0 0 -1/2 1/2 -1/2 2
4 X2 0 1 0 1/4 -1/4 3/4 12
?j ? ? ? ? ? ? MaxZ=?
Page1of4
4. (a)Findthenon-degenerateinitialsolutionbyVogel?sApproximationMethodtothefollowingtrans-
portationproblemshowninTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 W4 Supply
A 4 5 2 5 120
B 3 8 4 8 80
C 7 4 7 4 200
Demand 60 50 140 50
(b)IsthefollowingTable3initialsolutionoptimal?CheckusingMODImethod. [7M]
Table3
From/To W1 W2 W3 W4 Slack/Dummy Supply
A 4 5 2(120) 5 0 120
B 3(60) 8 4 8 0(20) 80
C 7 4(50) 7(20) 4(50) 0(80) 200
Demand 60 50 140 50 100
UNIT?III
5. (a)DescribethestepsfollowedinsolvinganAssignmentmodelbyHungarianmethod. [7M]
(b)FindtheoptimalsolutiontoassignmentproblemshowninTable4valuearegiveninminutes.
[7M]
Table4
Men/Work A B C D
W1 45 40 51 67
W2 55 40 61 53
W3 49 52 48 64
W4 41 45 60 55
Page2of4
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-November,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) DescribeimportantfeaturesofOperationResearch. [7M]
(b) Stateandexplainclassi?cationofdi?erentmodelsavailableinpracticeofOperationsResearch.
[7M]
2. (a) DescribeimportantphasesofOperationsResearch. [7M]
(b) DiscussinbriefvariousapplicationsandscopeofOperationsResearchinbusinessscenario.[7M]
UNIT?II
3. (a) TheLPPmodelwithanobjectivefunctionofMaxZ=40 X
1
+35 X
2
hasafeasibleregioncovered
byOABCpointsingraphicalmethod.Findthevalueof X
1
, X
2
andMaximumZ.Thefollowing
aretheordinatesofpointsO(0,0),A(5,20),B(18,8)andC(24,0).IftheObjectiveistominimise
whatischangeinvaluesof X
1
, X
2
andMinZ. [7M]
(b)Fromthefollowingsimplextable?ndwhetherthesolutionisleadingtoanoptimalsolution?
[7M]
Table1
Cj 2 4 0 0 -M -M
Basis X1 X2 S1 S2 R1 R2 bJ
0 S1 0 0 1 3/4 -3/4 1/4 2
2 X1 1 0 0 -1/2 1/2 -1/2 2
4 X2 0 1 0 1/4 -1/4 3/4 12
?j ? ? ? ? ? ? MaxZ=?
Page1of4
4. (a)Findthenon-degenerateinitialsolutionbyVogel?sApproximationMethodtothefollowingtrans-
portationproblemshowninTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 W4 Supply
A 4 5 2 5 120
B 3 8 4 8 80
C 7 4 7 4 200
Demand 60 50 140 50
(b)IsthefollowingTable3initialsolutionoptimal?CheckusingMODImethod. [7M]
Table3
From/To W1 W2 W3 W4 Slack/Dummy Supply
A 4 5 2(120) 5 0 120
B 3(60) 8 4 8 0(20) 80
C 7 4(50) 7(20) 4(50) 0(80) 200
Demand 60 50 140 50 100
UNIT?III
5. (a)DescribethestepsfollowedinsolvinganAssignmentmodelbyHungarianmethod. [7M]
(b)FindtheoptimalsolutiontoassignmentproblemshowninTable4valuearegiveninminutes.
[7M]
Table4
Men/Work A B C D
W1 45 40 51 67
W2 55 40 61 53
W3 49 52 48 64
W4 41 45 60 55
Page2of4
6. (a)Describehowatravellingsalesmanmodelisdi?erentfromassignmentmodel. [7M]
(b)FindtheoptimalroutetothefollowingtravellingsalesmanshowninTable5.model [7M]
Table5
A B C D
A X 4 7 3
B 4 X 6 3
C 7 6 X 7
D 3 3 7 X
UNIT?IV
7. (a)Describethecriterionofoptimismandcriterionofpessimismwithanexample. [7M]
(b)SolvethefollowingTable6usingMin-MaxregretcriterionvaluesgiveninLakhs. [7M]
Table6
NatureStrategies N1 N2 N3
S1 7 3 1.5
S2 5 4.5 0
S3 3 3 3
8. (a)Di?erentiatepayo?matrixanddecisiontree?Isthereanybene?tinrepresentingadecisionprob-
lemineitheroftheseforms?Underwhatcircumstancesisadecisiontreeabetterrepresentation
thanadecisionproblem. [7M]
(b)ThefollowinginformationavailablerelatedtoagoodstransportsystemshowninTable7.Lorries
have?xedcostofRs.90/-perdayandvariablecostofRs.200.Ifthelorryownerhas4vehicles,
whatareitsdailyexpectations?IfitisstartnewbusinesswithoutanyLorrieshowmanyLorries
hehastobuy? [7M]
Table7
Numberoflorrydemand 0 1 2 3 4
Probability 0.1 0.2 0.3 0.2 0.2
Page3of4
FirstRanker.com - FirstRanker's Choice
HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-November,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) DescribeimportantfeaturesofOperationResearch. [7M]
(b) Stateandexplainclassi?cationofdi?erentmodelsavailableinpracticeofOperationsResearch.
[7M]
2. (a) DescribeimportantphasesofOperationsResearch. [7M]
(b) DiscussinbriefvariousapplicationsandscopeofOperationsResearchinbusinessscenario.[7M]
UNIT?II
3. (a) TheLPPmodelwithanobjectivefunctionofMaxZ=40 X
1
+35 X
2
hasafeasibleregioncovered
byOABCpointsingraphicalmethod.Findthevalueof X
1
, X
2
andMaximumZ.Thefollowing
aretheordinatesofpointsO(0,0),A(5,20),B(18,8)andC(24,0).IftheObjectiveistominimise
whatischangeinvaluesof X
1
, X
2
andMinZ. [7M]
(b)Fromthefollowingsimplextable?ndwhetherthesolutionisleadingtoanoptimalsolution?
[7M]
Table1
Cj 2 4 0 0 -M -M
Basis X1 X2 S1 S2 R1 R2 bJ
0 S1 0 0 1 3/4 -3/4 1/4 2
2 X1 1 0 0 -1/2 1/2 -1/2 2
4 X2 0 1 0 1/4 -1/4 3/4 12
?j ? ? ? ? ? ? MaxZ=?
Page1of4
4. (a)Findthenon-degenerateinitialsolutionbyVogel?sApproximationMethodtothefollowingtrans-
portationproblemshowninTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 W4 Supply
A 4 5 2 5 120
B 3 8 4 8 80
C 7 4 7 4 200
Demand 60 50 140 50
(b)IsthefollowingTable3initialsolutionoptimal?CheckusingMODImethod. [7M]
Table3
From/To W1 W2 W3 W4 Slack/Dummy Supply
A 4 5 2(120) 5 0 120
B 3(60) 8 4 8 0(20) 80
C 7 4(50) 7(20) 4(50) 0(80) 200
Demand 60 50 140 50 100
UNIT?III
5. (a)DescribethestepsfollowedinsolvinganAssignmentmodelbyHungarianmethod. [7M]
(b)FindtheoptimalsolutiontoassignmentproblemshowninTable4valuearegiveninminutes.
[7M]
Table4
Men/Work A B C D
W1 45 40 51 67
W2 55 40 61 53
W3 49 52 48 64
W4 41 45 60 55
Page2of4
6. (a)Describehowatravellingsalesmanmodelisdi?erentfromassignmentmodel. [7M]
(b)FindtheoptimalroutetothefollowingtravellingsalesmanshowninTable5.model [7M]
Table5
A B C D
A X 4 7 3
B 4 X 6 3
C 7 6 X 7
D 3 3 7 X
UNIT?IV
7. (a)Describethecriterionofoptimismandcriterionofpessimismwithanexample. [7M]
(b)SolvethefollowingTable6usingMin-MaxregretcriterionvaluesgiveninLakhs. [7M]
Table6
NatureStrategies N1 N2 N3
S1 7 3 1.5
S2 5 4.5 0
S3 3 3 3
8. (a)Di?erentiatepayo?matrixanddecisiontree?Isthereanybene?tinrepresentingadecisionprob-
lemineitheroftheseforms?Underwhatcircumstancesisadecisiontreeabetterrepresentation
thanadecisionproblem. [7M]
(b)ThefollowinginformationavailablerelatedtoagoodstransportsystemshowninTable7.Lorries
have?xedcostofRs.90/-perdayandvariablecostofRs.200.Ifthelorryownerhas4vehicles,
whatareitsdailyexpectations?IfitisstartnewbusinesswithoutanyLorrieshowmanyLorries
hehastobuy? [7M]
Table7
Numberoflorrydemand 0 1 2 3 4
Probability 0.1 0.2 0.3 0.2 0.2
Page3of4
UNIT?V
9. (a)Describethegeneralstructureofqueuingsystemwithanexample. [7M]
(b)ArrivalsattelephoneboothareconsideredtobePoissonwithanaveragetimeof10minutes
betweenonearrivalandnext.Thelengthofphonecallisassumedtobeexponentiallydistributed
withameantimeof3minutes. [7M]
i.Whatistheprobabilitythatapersonarrivingattheboothwillhavetowait?
ii.Whatistheaveragelengthofqueue?
iii.Whatistheexpectednumberofcustomersinthesystem?
iv.Ifthewaitingtimeinthequeueis3minutesforwhatincreaseinarrivalpatternthena
secondcounterisinstalled?
10. (a)Describethevariousserviceprocessinqueuingtheoryfollowedinpracticewithanexample.
[7M]
(b)Inmachinemaintenance,amechanicrepairsfourmachines. Themeantimebetweenservice
requirementis5hoursforeachmachineandformsanexponentialdistribution.Themenrepair
timeisonehourandalsofollowsthesamedistributionpattern. MachinedowntimecostRs.
25/-perhourandthemechaniccostsisRs55/-perdayof8hours. [7M]
i.Findtheexpectednumberofoperatingmachines.
ii.Determineexpecteddowntimecostperday
Page4of4
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