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

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

HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-May/June,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time:3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) De?neoperationsresearch.Discusstheprocessofoperationsresearch. [7M]
(b) Explainany?vemodelsofoperationsresearchindetail. [7M]
2. (a) Describethemanagerialapplicationsofoperationsresearch. [7M]
(b) Explainthenatureandscopeofoperationsresearchindetail. [7M]
UNIT?II
3. (a) Apersonrequires10,12and12unitschemicalsofA,BandCrespectivelyforhisgarden. A
liquidproductcontains5,2and1unitsofA,BandCrespectivelyperjar.Adryproductcontains
1,2and4unitsofA,BandCpercarton.IftheliquidproductsellsforRs.3perjarandthedry
productsellsforRs.2percarton,howmanyofeachshouldbepurchased,inordertominimize
thecostandmeettherequirements? [7M]
(b) Aproductisproducedby4factoriesF1,F2,F3andF4.TheirunitproductioncostareRs.2,3,
1and5only. Productioncapacityofthefactoriesare50,70,40and50unitsrespectively. The
productissuppliedto4storesS1,S2,S3andS4.Therequirementsofwhichare25,35,105and
20respectively.Unitcostoftransportationaregivenbelow. [7M]
S1 S2 S3 S4
F1 2 4 6 11
F2 10 8 7 5
F3 13 3 9 12
F4 4 6 8 3
Findtheoptimaltransportationplansuchthattotalproductionandtransportationcostismin-
imum.
4. (a) SolvethefollowingLPPbygraphicalmethod.MinimizeZ=20X1+40X2Subjecttoconstraints
36X1+6X2 108 ? [7M]
3X1+12X2 36 ?
20X1+10X2 100 ?
X1,X2 0 ?
Page1of3
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HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-May/June,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time:3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) De?neoperationsresearch.Discusstheprocessofoperationsresearch. [7M]
(b) Explainany?vemodelsofoperationsresearchindetail. [7M]
2. (a) Describethemanagerialapplicationsofoperationsresearch. [7M]
(b) Explainthenatureandscopeofoperationsresearchindetail. [7M]
UNIT?II
3. (a) Apersonrequires10,12and12unitschemicalsofA,BandCrespectivelyforhisgarden. A
liquidproductcontains5,2and1unitsofA,BandCrespectivelyperjar.Adryproductcontains
1,2and4unitsofA,BandCpercarton.IftheliquidproductsellsforRs.3perjarandthedry
productsellsforRs.2percarton,howmanyofeachshouldbepurchased,inordertominimize
thecostandmeettherequirements? [7M]
(b) Aproductisproducedby4factoriesF1,F2,F3andF4.TheirunitproductioncostareRs.2,3,
1and5only. Productioncapacityofthefactoriesare50,70,40and50unitsrespectively. The
productissuppliedto4storesS1,S2,S3andS4.Therequirementsofwhichare25,35,105and
20respectively.Unitcostoftransportationaregivenbelow. [7M]
S1 S2 S3 S4
F1 2 4 6 11
F2 10 8 7 5
F3 13 3 9 12
F4 4 6 8 3
Findtheoptimaltransportationplansuchthattotalproductionandtransportationcostismin-
imum.
4. (a) SolvethefollowingLPPbygraphicalmethod.MinimizeZ=20X1+40X2Subjecttoconstraints
36X1+6X2 108 ? [7M]
3X1+12X2 36 ?
20X1+10X2 100 ?
X1,X2 0 ?
Page1of3
(b) WritetheDualofthefollowingLPP [7M]
MinZ=4X1+5X2-3X3
Subjecttoconstraints,
X1+X2+X3=22
3X1+5X2-2X3 65 <
X1+7X2+4X3 120 >
X1,X2 0andX3isunrestricted >
UNIT?III
5. (a) Whataretheapplicationsofassignmentproblemwithanalgorithm. [7M]
(b) Solvethefollowingtravelingsalesmanproblem.Salesmanhastoreturntotheoriginaftervisiting
allthecities. [7M]
From/to A B C D E
A ? 4 7 3 4
B 4 ? 6 3 4
C 7 6 ? 7 5
D 3 3 7 ? 7
E 4 4 5 7 ?
6. (a) ExplainthevariousstepsinHungarianmethod? Howdoyousolvetheunbalancedassignment
problem. [7M]
(b) Acompanyhastakenthethird?oorofamulti-storiedbuildingforrentwithaviewtolocate
oneoftheirzonalo?ces. Thereare?vemainroomsinthistobeassignedto?vemanagers.
Eachroomhasitsownadvantagesanddisadvantages. Somehavewindows,somearecloserto
thewashroomsortothecanteenorsecretarialpool. Theroomsareofalldi?erentsizesand
shapes.Eachofthe?vemanagerswereaskedtoranktheirroompreferenceamongsttherooms
301,302,303,304and305.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.
Page2of3
FirstRanker.com - FirstRanker's Choice
HallTicketNo QuestionPaperCode:CMB011
.
.
MBAIIISemesterEndExaminations(Supplementary)-May/June,2018
Regulation: .?R16
QuantitativeAnalysisforBusinessDecisions
Time:3Hours (MBA) MaxMarks: 70
AnswerONEQuestionfromeachUnit
AllQuestionsCarryEqualMarks
Allpartsofthequestionmustbeansweredinoneplaceonly
UNIT?I
1. (a) De?neoperationsresearch.Discusstheprocessofoperationsresearch. [7M]
(b) Explainany?vemodelsofoperationsresearchindetail. [7M]
2. (a) Describethemanagerialapplicationsofoperationsresearch. [7M]
(b) Explainthenatureandscopeofoperationsresearchindetail. [7M]
UNIT?II
3. (a) Apersonrequires10,12and12unitschemicalsofA,BandCrespectivelyforhisgarden. A
liquidproductcontains5,2and1unitsofA,BandCrespectivelyperjar.Adryproductcontains
1,2and4unitsofA,BandCpercarton.IftheliquidproductsellsforRs.3perjarandthedry
productsellsforRs.2percarton,howmanyofeachshouldbepurchased,inordertominimize
thecostandmeettherequirements? [7M]
(b) Aproductisproducedby4factoriesF1,F2,F3andF4.TheirunitproductioncostareRs.2,3,
1and5only. Productioncapacityofthefactoriesare50,70,40and50unitsrespectively. The
productissuppliedto4storesS1,S2,S3andS4.Therequirementsofwhichare25,35,105and
20respectively.Unitcostoftransportationaregivenbelow. [7M]
S1 S2 S3 S4
F1 2 4 6 11
F2 10 8 7 5
F3 13 3 9 12
F4 4 6 8 3
Findtheoptimaltransportationplansuchthattotalproductionandtransportationcostismin-
imum.
4. (a) SolvethefollowingLPPbygraphicalmethod.MinimizeZ=20X1+40X2Subjecttoconstraints
36X1+6X2 108 ? [7M]
3X1+12X2 36 ?
20X1+10X2 100 ?
X1,X2 0 ?
Page1of3
(b) WritetheDualofthefollowingLPP [7M]
MinZ=4X1+5X2-3X3
Subjecttoconstraints,
X1+X2+X3=22
3X1+5X2-2X3 65 <
X1+7X2+4X3 120 >
X1,X2 0andX3isunrestricted >
UNIT?III
5. (a) Whataretheapplicationsofassignmentproblemwithanalgorithm. [7M]
(b) Solvethefollowingtravelingsalesmanproblem.Salesmanhastoreturntotheoriginaftervisiting
allthecities. [7M]
From/to A B C D E
A ? 4 7 3 4
B 4 ? 6 3 4
C 7 6 ? 7 5
D 3 3 7 ? 7
E 4 4 5 7 ?
6. (a) ExplainthevariousstepsinHungarianmethod? Howdoyousolvetheunbalancedassignment
problem. [7M]
(b) Acompanyhastakenthethird?oorofamulti-storiedbuildingforrentwithaviewtolocate
oneoftheirzonalo?ces. Thereare?vemainroomsinthistobeassignedto?vemanagers.
Eachroomhasitsownadvantagesanddisadvantages. Somehavewindows,somearecloserto
thewashroomsortothecanteenorsecretarialpool. Theroomsareofalldi?erentsizesand
shapes.Eachofthe?vemanagerswereaskedtoranktheirroompreferenceamongsttherooms
301,302,303,304and305.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.
Page2of3
UNIT?IV
7. (a) WhatisDecisionTreeAnalysis?Explainthestepbystepprocedureofdecisiontreeanalysis.
[7M]
(b) Explainthedi?erenttypesofDecision-MakingEnvironmentswithsuitableexamples [7M]
8. (a) Discussthevariousstepsindecisionanalysis.Explainhowmanagerialapplicationshelpdecision
making [7M]
(b) Whataretheingredientsofdecisionproblems. [7M]
UNIT?V
9. (a) Explainthevariouscharacteristicsofqueuingmodels. [7M]
(b) Ataservicecounteroffast-foodjoint,thecustomersarriveattheaverageintervalofsixminutes
whereasthecounterclerktakesonanaverage5minutesforpreparationofbillanddeliveryof
theitem.Calculatethefollowing
i. Counterutilizationlevel
ii. Averagewaitingtimeofthecustomersatthefastfoodjoint
iii. Expectedaveragewaitingtimeintheline
iv. Averagenumberofcustomersintheservicecounterarea
v. Averagenumberofcustomerintheline
vi. Probabilitythatthecounterclerkisidle
vii. Probabilityof?ndingtheclerkbusy
10. (a) ExplainthevariousapplicationsofQueuingmodels. [7M]
(b) Awarehousehasonlyoneloadingdockmannedbyathreepersoncrew. Trucksarriveatthe
loadingdockatanaveragerateof4trucksperhourandthearrivalrateisPoissondistributed.
Theloadingofatrucktakes10minutesonanaverageandcanbeassumedtobeexponentially
distributed. TheoperatingcostofatruckisRs.20perhourandthemembersofthecreware
paid@Rs.6eachperhour. Wouldyouadvisethetruckownertoaddanothercrewofthree
persons? [7M]
Page3of3
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