Download JNTUH MBA 3rd Sem 2019 April Quantitative Analysis for Business Decisions Question Paper

Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA Third Year (3rd Year) 2019 April Quantitative Analysis for Business Decisions Question Paper.

HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-April,2019
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Describethedi?erentstepsfollowedinORModeltoprovidebettersolution. [7M]
(b) ListimportantFeaturesandlimitationsofORsolutions. [7M]
2. (a) Stateandexplainclassi?cationofdi?erentModelsavailableinPractice. [7M]
(b) ExplaintheoriginofORinbriefandwritetsapplications. [7M]
UNIT?II
3. (a) AcompanyisproducingthreeproductsA,BandC.FormulateanLPPmodeltomaximisethe
Pro?tforthefollowingcollecteddatagiveninTable1; [7M]
Table1
Factor A B C Availability
SellingPrice/unit 500 300 400
RawMaterial/unit 15units 5units 10Units morethan2000units
LaborHours/Unit 8 4 5 Lessthan1200Hrs.
MachineHours/Unit 4 2 3 200Hrs.
(b) SolvethefollowingLPPbygraphicalmethod [7M]
MaxZ=5x+3y
Subjecttoconstraints
2x+y 1000 ?
x 400 ?
y 700 ?
x,y 0 ?
Page1of4
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-April,2019
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Describethedi?erentstepsfollowedinORModeltoprovidebettersolution. [7M]
(b) ListimportantFeaturesandlimitationsofORsolutions. [7M]
2. (a) Stateandexplainclassi?cationofdi?erentModelsavailableinPractice. [7M]
(b) ExplaintheoriginofORinbriefandwritetsapplications. [7M]
UNIT?II
3. (a) AcompanyisproducingthreeproductsA,BandC.FormulateanLPPmodeltomaximisethe
Pro?tforthefollowingcollecteddatagiveninTable1; [7M]
Table1
Factor A B C Availability
SellingPrice/unit 500 300 400
RawMaterial/unit 15units 5units 10Units morethan2000units
LaborHours/Unit 8 4 5 Lessthan1200Hrs.
MachineHours/Unit 4 2 3 200Hrs.
(b) SolvethefollowingLPPbygraphicalmethod [7M]
MaxZ=5x+3y
Subjecttoconstraints
2x+y 1000 ?
x 400 ?
y 700 ?
x,y 0 ?
Page1of4
4. (a) Findthenon-degenerateInitialsolutionbyVAMtothefollowingTPMTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 Supply
A 6 4 1 50
B 3 8 7 40
C 4 4 2 60
Demand 20 95 35
(b) IsthefollowingInitialsolutiongiveninTable3isOptimal?CheckusingMODImethod [7M]
Table3
From/To W1 W2 W3 Supply
A 6 4(15) 1(35) 50
B 3(20) 8(20) 7 40
C 4 4(60) 2 60
Demand 20 95 35
UNIT?III
5. (a) DescribethestepsinsolvingaMaximisationAssignmentmodelbyHungarianmethod. [7M]
(b) FindtheoptimalsolutiontofollowingMaximisationassignmentproblemgiveninTable4.(sales
in000value)
[7M]
Table4
A B C D E
W1 32 38 40 28 40
W2 40 24 28 21 36
W3 41 27 33 30 37
W4 22 38 41 36 36
W5 29 33 40 35 39
Page2of4
FirstRanker.com - FirstRanker's Choice
HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-April,2019
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Describethedi?erentstepsfollowedinORModeltoprovidebettersolution. [7M]
(b) ListimportantFeaturesandlimitationsofORsolutions. [7M]
2. (a) Stateandexplainclassi?cationofdi?erentModelsavailableinPractice. [7M]
(b) ExplaintheoriginofORinbriefandwritetsapplications. [7M]
UNIT?II
3. (a) AcompanyisproducingthreeproductsA,BandC.FormulateanLPPmodeltomaximisethe
Pro?tforthefollowingcollecteddatagiveninTable1; [7M]
Table1
Factor A B C Availability
SellingPrice/unit 500 300 400
RawMaterial/unit 15units 5units 10Units morethan2000units
LaborHours/Unit 8 4 5 Lessthan1200Hrs.
MachineHours/Unit 4 2 3 200Hrs.
(b) SolvethefollowingLPPbygraphicalmethod [7M]
MaxZ=5x+3y
Subjecttoconstraints
2x+y 1000 ?
x 400 ?
y 700 ?
x,y 0 ?
Page1of4
4. (a) Findthenon-degenerateInitialsolutionbyVAMtothefollowingTPMTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 Supply
A 6 4 1 50
B 3 8 7 40
C 4 4 2 60
Demand 20 95 35
(b) IsthefollowingInitialsolutiongiveninTable3isOptimal?CheckusingMODImethod [7M]
Table3
From/To W1 W2 W3 Supply
A 6 4(15) 1(35) 50
B 3(20) 8(20) 7 40
C 4 4(60) 2 60
Demand 20 95 35
UNIT?III
5. (a) DescribethestepsinsolvingaMaximisationAssignmentmodelbyHungarianmethod. [7M]
(b) FindtheoptimalsolutiontofollowingMaximisationassignmentproblemgiveninTable4.(sales
in000value)
[7M]
Table4
A B C D E
W1 32 38 40 28 40
W2 40 24 28 21 36
W3 41 27 33 30 37
W4 22 38 41 36 36
W5 29 33 40 35 39
Page2of4
6. (a) DescribetheTravellingSalesmanmodelwithoneexample. [7M]
(b) FindtheoptimalroutetothefollowingTravellingsalesmanmodelgiveninTable5 [7M]
Table5
A B C D
A X 12 17 3
B 12 X 6 3
C 17 6 X 7
D 3 3 7 X
UNIT?IV
7. (a) WithanexampledescribetheCriterionofPessimism [7M]
(b) SolvethefollowingTable6usingMin-MaxregretcriterionvaluesgiveninLakhs.. [7M]
Table6
StrategiesNature S1 S2 S3
N1 17 13 12
N2 15 14 10
N3 13 15 13
8. (a) Discussthevarioustypesofdecisionmakingenvironmentsindetailalongwithdi?erentdecision
makingtechniques. [7M]
(b) ThefollowinginformationgiveninTable7availablerelatedtoaRentalcarsystem. Carshave
?xedcostofRs.400/-perdayandvariablecostofRs.800.Iftherentalcarownerhas4vehicles,
whatareitsdailyexpectations? Ifitisrequiredtostartnewbusinesswithoutanycarshow
manycarshehastobuy?
[7M]
Table7
Numberofcarsdemand 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(Supplementary)-April,2019
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time: 3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Describethedi?erentstepsfollowedinORModeltoprovidebettersolution. [7M]
(b) ListimportantFeaturesandlimitationsofORsolutions. [7M]
2. (a) Stateandexplainclassi?cationofdi?erentModelsavailableinPractice. [7M]
(b) ExplaintheoriginofORinbriefandwritetsapplications. [7M]
UNIT?II
3. (a) AcompanyisproducingthreeproductsA,BandC.FormulateanLPPmodeltomaximisethe
Pro?tforthefollowingcollecteddatagiveninTable1; [7M]
Table1
Factor A B C Availability
SellingPrice/unit 500 300 400
RawMaterial/unit 15units 5units 10Units morethan2000units
LaborHours/Unit 8 4 5 Lessthan1200Hrs.
MachineHours/Unit 4 2 3 200Hrs.
(b) SolvethefollowingLPPbygraphicalmethod [7M]
MaxZ=5x+3y
Subjecttoconstraints
2x+y 1000 ?
x 400 ?
y 700 ?
x,y 0 ?
Page1of4
4. (a) Findthenon-degenerateInitialsolutionbyVAMtothefollowingTPMTable2. [7M]
Table2
Factory/Warehouse W1 W2 W3 Supply
A 6 4 1 50
B 3 8 7 40
C 4 4 2 60
Demand 20 95 35
(b) IsthefollowingInitialsolutiongiveninTable3isOptimal?CheckusingMODImethod [7M]
Table3
From/To W1 W2 W3 Supply
A 6 4(15) 1(35) 50
B 3(20) 8(20) 7 40
C 4 4(60) 2 60
Demand 20 95 35
UNIT?III
5. (a) DescribethestepsinsolvingaMaximisationAssignmentmodelbyHungarianmethod. [7M]
(b) FindtheoptimalsolutiontofollowingMaximisationassignmentproblemgiveninTable4.(sales
in000value)
[7M]
Table4
A B C D E
W1 32 38 40 28 40
W2 40 24 28 21 36
W3 41 27 33 30 37
W4 22 38 41 36 36
W5 29 33 40 35 39
Page2of4
6. (a) DescribetheTravellingSalesmanmodelwithoneexample. [7M]
(b) FindtheoptimalroutetothefollowingTravellingsalesmanmodelgiveninTable5 [7M]
Table5
A B C D
A X 12 17 3
B 12 X 6 3
C 17 6 X 7
D 3 3 7 X
UNIT?IV
7. (a) WithanexampledescribetheCriterionofPessimism [7M]
(b) SolvethefollowingTable6usingMin-MaxregretcriterionvaluesgiveninLakhs.. [7M]
Table6
StrategiesNature S1 S2 S3
N1 17 13 12
N2 15 14 10
N3 13 15 13
8. (a) Discussthevarioustypesofdecisionmakingenvironmentsindetailalongwithdi?erentdecision
makingtechniques. [7M]
(b) ThefollowinginformationgiveninTable7availablerelatedtoaRentalcarsystem. Carshave
?xedcostofRs.400/-perdayandvariablecostofRs.800.Iftherentalcarownerhas4vehicles,
whatareitsdailyexpectations? Ifitisrequiredtostartnewbusinesswithoutanycarshow
manycarshehastobuy?
[7M]
Table7
Numberofcarsdemand 0 1 2 3 4
Probability 0.1 0.2 0.3 0.2 0.2
Page3of4
UNIT?V
9. (a) DescribetheoperatingcharacteristicsofQueuingsystemwithanexample [7M]
(b) Describethevariousserviceprocessfollowedinpracticewithoneexample. [7M]
10. (a) Whatisqueuesystemandexplainvariousapplicationsofqueuingmodels. Arrivalsat [7M]
RailwayTicketingboothareconsideredtobePoissonwithanaveragetimeof5minutesbetween
onearrivalandnext. Thelengthofserviceisassumedtobeexponentiallydistributedwitha
meantimeof4Minutes. [7M]
i. Whatistheprobabilitythatapersonarrivingattheticketboothwillhavetowait?
ii. Whatistheaveragelengthofqueue?
iii. Whatistheexpectednumberofcustomersinthesystem?
iv. Iftheaveragetimespentbycustomerinqueueismorethan5minutesasecondTicketbooth
willbeoperated.IssecondTicketboothisrequired?
Page4of4
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