Download JNTUH (Jawaharlal Nehru Technological University Hyderabad) MBA Third Year (3rd Year) 2018 Jan Quantitative Analysis for Business Decisions Question Paper.
.
.
MBAIIISemesterEndExaminations(Regular)-January,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
(MASTEROFBUSINESSADMINISTRATION)
Time: 3Hours MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Explainthevariousapplicationsofoperationresearch. [7M]
(b) Explaintheadvantagesofoperationresearchalongwithitslimitations [7M]
2. (a) Explaintheoriginofoperationresearchinbrief. [7M]
(b) Explaindi?erenttechniquesofoperationresearch. [7M]
UNIT?II
3. (a) Theagriculturalresearchinstitutesuggestedthefarmertospreadoutatleast4800kgofspe-
cialphosphatefertilizerandnotlessthan7200kgofaspecialnitrogenfertilizertoraisethe
productivityofcropsinhis?elds. Therearetwosourcesforobtainingthese?mixturesAand
mixturesB.Bothoftheseareavailableinbagsweighing100kgeachandtheycostRs.40and
Rs.24respectively. MixtureAcontainsphosphateandnitrogenequivalentof20kgand80kg
respectively,whilemixtureBcontainstheseingredientsequivalentof50kgeach. Writethisas
anLPPanddeterminehowmanybagsofeachtypethefarmershouldbuyinordertoobtainthe
requiredfertilizeratminimumcost. [7M]
(b) SolvethefollowingLPPbygraphicalmethod [7M]
Maximize Z X = 5
1
+ 3X
2
Subjecttoconstraints
2X
1
+ X
2
? 1000
X
1
? 400
X
1
? 700
where X
1
, X
2
? 0.
4. (a) WritetheDualofthefollowingLPP [7M]
MIN Z X = 2
2
+ 5X
3
X
1
+ X
2
? 2
2X
1
+ X
2
+ 6X
3
? 6
X
1
? X
2
+ 3X
3
= 4
where X
1
, X
2
, X
3
? 0.
Page1of4
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-January,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
(MASTEROFBUSINESSADMINISTRATION)
Time: 3Hours MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Explainthevariousapplicationsofoperationresearch. [7M]
(b) Explaintheadvantagesofoperationresearchalongwithitslimitations [7M]
2. (a) Explaintheoriginofoperationresearchinbrief. [7M]
(b) Explaindi?erenttechniquesofoperationresearch. [7M]
UNIT?II
3. (a) Theagriculturalresearchinstitutesuggestedthefarmertospreadoutatleast4800kgofspe-
cialphosphatefertilizerandnotlessthan7200kgofaspecialnitrogenfertilizertoraisethe
productivityofcropsinhis?elds. Therearetwosourcesforobtainingthese?mixturesAand
mixturesB.Bothoftheseareavailableinbagsweighing100kgeachandtheycostRs.40and
Rs.24respectively. MixtureAcontainsphosphateandnitrogenequivalentof20kgand80kg
respectively,whilemixtureBcontainstheseingredientsequivalentof50kgeach. Writethisas
anLPPanddeterminehowmanybagsofeachtypethefarmershouldbuyinordertoobtainthe
requiredfertilizeratminimumcost. [7M]
(b) SolvethefollowingLPPbygraphicalmethod [7M]
Maximize Z X = 5
1
+ 3X
2
Subjecttoconstraints
2X
1
+ X
2
? 1000
X
1
? 400
X
1
? 700
where X
1
, X
2
? 0.
4. (a) WritetheDualofthefollowingLPP [7M]
MIN Z X = 2
2
+ 5X
3
X
1
+ X
2
? 2
2X
1
+ X
2
+ 6X
3
? 6
X
1
? X
2
+ 3X
3
= 4
where X
1
, X
2
, X
3
? 0.
Page1of4
(b) Adistributionsystemhasthefollowingconstraints. [7M]
Factory capacity(inunits)
A 45
B 15
C 40
Warehouse Demand(inunits)
I 25
II 55
III 20
Thetransportationcostsperunit(inrupees)allocatedwitheachrouteareasfollows
To/From I II III
A 10 7 8
B 15 12 9
C 7 8 12
Findtheoptimumtransportationscheduleandtheminimumtotalcostoftransportation.
UNIT?III
5. (a) ExplainthestepsinHungarianmethodindetail. [7M]
(b) Solvethefollowingassingmentproblemwithmaximizationobjective. [7M]
Salesmen D1 D2 D3 D4 D5
S1 40 46 48 36 48
S2 48 32 36 29 44
S3 49 35 41 38 45
S4 30 46 49 44 44
S5 37 41 48 43 47
Page2of4
FirstRanker.com - FirstRanker's Choice
HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-January,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
(MASTEROFBUSINESSADMINISTRATION)
Time: 3Hours MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Explainthevariousapplicationsofoperationresearch. [7M]
(b) Explaintheadvantagesofoperationresearchalongwithitslimitations [7M]
2. (a) Explaintheoriginofoperationresearchinbrief. [7M]
(b) Explaindi?erenttechniquesofoperationresearch. [7M]
UNIT?II
3. (a) Theagriculturalresearchinstitutesuggestedthefarmertospreadoutatleast4800kgofspe-
cialphosphatefertilizerandnotlessthan7200kgofaspecialnitrogenfertilizertoraisethe
productivityofcropsinhis?elds. Therearetwosourcesforobtainingthese?mixturesAand
mixturesB.Bothoftheseareavailableinbagsweighing100kgeachandtheycostRs.40and
Rs.24respectively. MixtureAcontainsphosphateandnitrogenequivalentof20kgand80kg
respectively,whilemixtureBcontainstheseingredientsequivalentof50kgeach. Writethisas
anLPPanddeterminehowmanybagsofeachtypethefarmershouldbuyinordertoobtainthe
requiredfertilizeratminimumcost. [7M]
(b) SolvethefollowingLPPbygraphicalmethod [7M]
Maximize Z X = 5
1
+ 3X
2
Subjecttoconstraints
2X
1
+ X
2
? 1000
X
1
? 400
X
1
? 700
where X
1
, X
2
? 0.
4. (a) WritetheDualofthefollowingLPP [7M]
MIN Z X = 2
2
+ 5X
3
X
1
+ X
2
? 2
2X
1
+ X
2
+ 6X
3
? 6
X
1
? X
2
+ 3X
3
= 4
where X
1
, X
2
, X
3
? 0.
Page1of4
(b) Adistributionsystemhasthefollowingconstraints. [7M]
Factory capacity(inunits)
A 45
B 15
C 40
Warehouse Demand(inunits)
I 25
II 55
III 20
Thetransportationcostsperunit(inrupees)allocatedwitheachrouteareasfollows
To/From I II III
A 10 7 8
B 15 12 9
C 7 8 12
Findtheoptimumtransportationscheduleandtheminimumtotalcostoftransportation.
UNIT?III
5. (a) ExplainthestepsinHungarianmethodindetail. [7M]
(b) Solvethefollowingassingmentproblemwithmaximizationobjective. [7M]
Salesmen D1 D2 D3 D4 D5
S1 40 46 48 36 48
S2 48 32 36 29 44
S3 49 35 41 38 45
S4 30 46 49 44 44
S5 37 41 48 43 47
Page2of4
6. (a) Explainstepwiseproceduretosolvetheunbalancedassignmentproblem. [7M]
(b) Acompanyhastakenthethird?oorofamulti-stairbuildingforrentwithaviewtolocateone
oftheirzonalo?ces. Thereare?vemainroomsinthistobeassignedto?vemanagers. Each
roomhasitsownadvantagesanddisadvantages. Somehavewindows,someareclosertothe
washroomsortothecanteenorsecretarialpool.Theroomsareofalldi?erentsizesandshapes.
Eachofthe?vemanagerswereaskedtoranktheirroompreferenceamongsttherooms301,302,
303,304and305.Theirpreferenceswererecordedinatableasindicatedbelow [7M]
M1 M2 M3 M4 M5
302 302 303 302 301
303 304 301 305 302
304 305 304 304 304
- 301 305 303 -
- - 302 - -
Mostofthemanagersdidnotlistallthe?veroomssincetheywerenotsatis?edwithsome
oftheseroomsandtheyhaveleftthesefromthelist. Assumingthattheirpreferencescanbe
quanti?edbynumbers,?ndoutastowhichmanagershouldbeassignedtowhichroomsothat
theirtotalpreferencerankingisaminimum.
UNIT?IV
7. (a) Whataredecisiontrees? Whatarethedi?erentcomponentsofdecisiontrees. Howdoyou
analyzethem. [7M]
(b) SolvethefollowingusingMin-MaxregretcriterionvaluesgiveninLakhs. [7M]
NatureStrategies N1 N2 N3
S1 7 3 1.5
S2 5 4.5 0
S3 3 3 3
8. (a) Discussthevarioustypesofdecisionmakingenvironmentsindetailalongwithdi?erentdecision
makingtechniques [7M]
(b) Thefollowinginformationavailablerelatedtoagoodstransportsystem.Lorrieshave?xedcost
ofRs. 90/-perdayandvariablecostofRs.200. Ifthelorryownerhas4vehicles,whatareits
dailyexpectations? Ifhestartsanewbusinesswithoutanylorrieshowmanylorrieshehasto
buy? [7M]
Numberoflorriesindemand 0 1 2 3 4
Probability 0.1 0.2 0.3 0.2 0.2
Page3of4
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Regular)-January,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
(MASTEROFBUSINESSADMINISTRATION)
Time: 3Hours MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) Explainthevariousapplicationsofoperationresearch. [7M]
(b) Explaintheadvantagesofoperationresearchalongwithitslimitations [7M]
2. (a) Explaintheoriginofoperationresearchinbrief. [7M]
(b) Explaindi?erenttechniquesofoperationresearch. [7M]
UNIT?II
3. (a) Theagriculturalresearchinstitutesuggestedthefarmertospreadoutatleast4800kgofspe-
cialphosphatefertilizerandnotlessthan7200kgofaspecialnitrogenfertilizertoraisethe
productivityofcropsinhis?elds. Therearetwosourcesforobtainingthese?mixturesAand
mixturesB.Bothoftheseareavailableinbagsweighing100kgeachandtheycostRs.40and
Rs.24respectively. MixtureAcontainsphosphateandnitrogenequivalentof20kgand80kg
respectively,whilemixtureBcontainstheseingredientsequivalentof50kgeach. Writethisas
anLPPanddeterminehowmanybagsofeachtypethefarmershouldbuyinordertoobtainthe
requiredfertilizeratminimumcost. [7M]
(b) SolvethefollowingLPPbygraphicalmethod [7M]
Maximize Z X = 5
1
+ 3X
2
Subjecttoconstraints
2X
1
+ X
2
? 1000
X
1
? 400
X
1
? 700
where X
1
, X
2
? 0.
4. (a) WritetheDualofthefollowingLPP [7M]
MIN Z X = 2
2
+ 5X
3
X
1
+ X
2
? 2
2X
1
+ X
2
+ 6X
3
? 6
X
1
? X
2
+ 3X
3
= 4
where X
1
, X
2
, X
3
? 0.
Page1of4
(b) Adistributionsystemhasthefollowingconstraints. [7M]
Factory capacity(inunits)
A 45
B 15
C 40
Warehouse Demand(inunits)
I 25
II 55
III 20
Thetransportationcostsperunit(inrupees)allocatedwitheachrouteareasfollows
To/From I II III
A 10 7 8
B 15 12 9
C 7 8 12
Findtheoptimumtransportationscheduleandtheminimumtotalcostoftransportation.
UNIT?III
5. (a) ExplainthestepsinHungarianmethodindetail. [7M]
(b) Solvethefollowingassingmentproblemwithmaximizationobjective. [7M]
Salesmen D1 D2 D3 D4 D5
S1 40 46 48 36 48
S2 48 32 36 29 44
S3 49 35 41 38 45
S4 30 46 49 44 44
S5 37 41 48 43 47
Page2of4
6. (a) Explainstepwiseproceduretosolvetheunbalancedassignmentproblem. [7M]
(b) Acompanyhastakenthethird?oorofamulti-stairbuildingforrentwithaviewtolocateone
oftheirzonalo?ces. Thereare?vemainroomsinthistobeassignedto?vemanagers. Each
roomhasitsownadvantagesanddisadvantages. Somehavewindows,someareclosertothe
washroomsortothecanteenorsecretarialpool.Theroomsareofalldi?erentsizesandshapes.
Eachofthe?vemanagerswereaskedtoranktheirroompreferenceamongsttherooms301,302,
303,304and305.Theirpreferenceswererecordedinatableasindicatedbelow [7M]
M1 M2 M3 M4 M5
302 302 303 302 301
303 304 301 305 302
304 305 304 304 304
- 301 305 303 -
- - 302 - -
Mostofthemanagersdidnotlistallthe?veroomssincetheywerenotsatis?edwithsome
oftheseroomsandtheyhaveleftthesefromthelist. Assumingthattheirpreferencescanbe
quanti?edbynumbers,?ndoutastowhichmanagershouldbeassignedtowhichroomsothat
theirtotalpreferencerankingisaminimum.
UNIT?IV
7. (a) Whataredecisiontrees? Whatarethedi?erentcomponentsofdecisiontrees. Howdoyou
analyzethem. [7M]
(b) SolvethefollowingusingMin-MaxregretcriterionvaluesgiveninLakhs. [7M]
NatureStrategies N1 N2 N3
S1 7 3 1.5
S2 5 4.5 0
S3 3 3 3
8. (a) Discussthevarioustypesofdecisionmakingenvironmentsindetailalongwithdi?erentdecision
makingtechniques [7M]
(b) Thefollowinginformationavailablerelatedtoagoodstransportsystem.Lorrieshave?xedcost
ofRs. 90/-perdayandvariablecostofRs.200. Ifthelorryownerhas4vehicles,whatareits
dailyexpectations? Ifhestartsanewbusinesswithoutanylorrieshowmanylorrieshehasto
buy? [7M]
Numberoflorriesindemand 0 1 2 3 4
Probability 0.1 0.2 0.3 0.2 0.2
Page3of4
UNIT?V
9. (a) Whatarethevariousassumptionsofsinglequeueandsingleservermodel. [7M]
(b) Customersarriveataone-windowdrive-inbankaccordingtoaPoissondistributionwithmean
10perhour.Servicetimepercustomerisexponentialwithmean5minutes.Thespaceinfront
ofthewindowincludingthatfortheservicedcaraccommodateamaximumof3cars.Othercars
canwaitoutsidethespace.Calculate [7M]
i. Whatistheprobabilitythatanarrivingcustomercandrivedirectlytothespaceinfrontof
thewindow.
ii. Whatistheprobabilitythatanarrivingcustomerwillhavetowaitoutsidetheindicated
space
iii. Howlongisarrivingcustomerexpectedtowaitbeforestatingtheservice.
iv. Howmanyspacesshouldbeprovidedinfrontofthewindowsothatallthearrivingcustomers
canwaitinfrontofthewindowatleast20%ofthetime.
10. (a) Explaintheapplicationsofqueuingmodelsindetail. [7M]
(b) Customersarriveatthe?rstclassticketcounterofatheatreatarateof12perhours.Thereis
oneclerkservingthecustomersatarateof30perhour.Assumingtheconditionsforuseofthe
singlechannelqueuingmodel,Evaluate [7M]
i. Theprobabilitythatthereisnocustomeratthecounter(i.e.thatthesystemisidle)
ii. Theprobabilitythattherearemorethan20customersatthecounter
iii. Theprobabilitythatthereisnocustomerwaitingtobeserved
iv. Theprobabilitythatacustomerisbeingservedandnobodyiswaiting.
Page4of4
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This post was last modified on 04 December 2019