SlideShare a Scribd company logo
TYBMS – Operations Research Date – 5th March 2020
Attempt any THREE questions Marks : 45 Duration: 1 ½ hr
Q.1. ABC ltd. Manufactures two products P and Q.Profit per unit for P and Q is Rs. 40 and Rs. 80 respectively.
One unit of P requires 2 machines hours and one unit of Q requires 3 machines hours. Availability of machine
hours is 48.
Maximum market demand for P is 15 units and for Q is 10 units. Formulate as LPP and solve by graphical
method to obtain maximum total profit.
Q.2. A company has 3 warehouses W1, W2 and W3 from where it supplies products to 3 markets M1, M2 and
M3. Availability at warehouses is 2000, 1500 and 100 units. Market requirements are 1200, 1800 and 1000
units. Profit potential per unit from each warehouse to each market is as follows:
To
From
Profit per unit (Rs.)
M1 M2 M3
W1 25 22 23
W2 15 20 18
W3 18 17 16
Find optimal transportation schedule to maximize total profit.
Q.3. The following is the cost matrix (cost in Rs. 1000) of assigning 4 clerks to 4 key purchasing jobs.
Clerk 1 cannot be assigned to job 1.
Jobs
Clerks J1 J2 J3 J4
1 - 5 2 0
2 4 7 5 6
3 5 8 4 3
4 3 6 6 2
Find an Optimal Assignment to minimize total cost. Each clerk can handle only one job. Write an alternate
optimal solution if it exists.
Q.4. A company has three factories F1, F2 and F3 with supply of 800, 600 and 1000 units respectively. There
are four warehouse W1, W2, W3 and W4 with demand of 400, 500, 700 and 800 units respectively. A feasible
solution is give below. (With allocations and unit cost data)
i. Test the solution for optimally using modified distribution method
ii. If the solution is not optimal, find optimal solution by modifying it
iii. Find minimum transportation cost
To
From
W1 W2 W3 W4 Supply
F1
300 500
800
F2
100 500
600
F3
200 800
1000
Demand 400 500 700 800 2400
2400
12 6 20 25
6 11 15 12
9 15 17 7

More Related Content

What's hot

Paper
PaperPaper
Iso quants
Iso quantsIso quants
Iso quants
Bony Yamin
 
Isoquant and isocost
Isoquant and isocostIsoquant and isocost
Isoquant and isocost
KillionAmollo1
 
Isoquants and its properties
Isoquants and its propertiesIsoquants and its properties
Isoquants and its properties
Awesh Bhornya
 
Presentation on Iso quants
Presentation on Iso quantsPresentation on Iso quants
Presentation on Iso quants
VidushiBhageria
 
Isoquants
IsoquantsIsoquants
Isoquants
MALVIKA AWASTHI
 
Isoquant
IsoquantIsoquant
Isoquant
Athmika Pawar
 
#13 costs and pricing strategy
#13 costs and pricing strategy#13 costs and pricing strategy
#13 costs and pricing strategy
ali_1989
 
8 productionpart2
8 productionpart28 productionpart2
8 productionpart2
gannibhai
 
ISOQUANTS OR EQUAL PRODUCT CURVES
ISOQUANTS OR EQUAL PRODUCT CURVESISOQUANTS OR EQUAL PRODUCT CURVES
ISOQUANTS OR EQUAL PRODUCT CURVES
niraj joshi
 
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEARISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
SRI SAIRAM INSTITUTE OF TECHNOLOGY, CHENNAI
 
Isoquants ppt
Isoquants pptIsoquants ppt
Isoquants ppt
Sowmiya S
 
Micro economics 3
Micro economics 3Micro economics 3
Micro economics 3
Mahofuzur Masum
 
Producer equilibrium
Producer equilibriumProducer equilibrium
Producer equilibrium
Nidhishbio
 
Business economics production analysis
Business economics   production analysisBusiness economics   production analysis
Business economics production analysis
Rachit Walia
 
Isocost
IsocostIsocost
Production cost
Production costProduction cost
Production cost
Atul Tingre
 
Iso quants
Iso quantsIso quants
Iso quants
Jithin Thomas
 
Unit 2 c
Unit 2 cUnit 2 c
Unit 2 c
ushamuthu
 

What's hot (19)

Paper
PaperPaper
Paper
 
Iso quants
Iso quantsIso quants
Iso quants
 
Isoquant and isocost
Isoquant and isocostIsoquant and isocost
Isoquant and isocost
 
Isoquants and its properties
Isoquants and its propertiesIsoquants and its properties
Isoquants and its properties
 
Presentation on Iso quants
Presentation on Iso quantsPresentation on Iso quants
Presentation on Iso quants
 
Isoquants
IsoquantsIsoquants
Isoquants
 
Isoquant
IsoquantIsoquant
Isoquant
 
#13 costs and pricing strategy
#13 costs and pricing strategy#13 costs and pricing strategy
#13 costs and pricing strategy
 
8 productionpart2
8 productionpart28 productionpart2
8 productionpart2
 
ISOQUANTS OR EQUAL PRODUCT CURVES
ISOQUANTS OR EQUAL PRODUCT CURVESISOQUANTS OR EQUAL PRODUCT CURVES
ISOQUANTS OR EQUAL PRODUCT CURVES
 
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEARISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
ISOCOST & LEAST COST COMBINATION-CS.FINAL YEAR
 
Isoquants ppt
Isoquants pptIsoquants ppt
Isoquants ppt
 
Micro economics 3
Micro economics 3Micro economics 3
Micro economics 3
 
Producer equilibrium
Producer equilibriumProducer equilibrium
Producer equilibrium
 
Business economics production analysis
Business economics   production analysisBusiness economics   production analysis
Business economics production analysis
 
Isocost
IsocostIsocost
Isocost
 
Production cost
Production costProduction cost
Production cost
 
Iso quants
Iso quantsIso quants
Iso quants
 
Unit 2 c
Unit 2 cUnit 2 c
Unit 2 c
 

Similar to Or tybms

Ddb29 ccceba547209ddab45a17330016
Ddb29 ccceba547209ddab45a17330016Ddb29 ccceba547209ddab45a17330016
Ddb29 ccceba547209ddab45a17330016
Joseph Konnully
 
30 model questions OR
30 model questions OR30 model questions OR
30 model questions OR
Anurag Srivastava
 
_LPP.pdf
_LPP.pdf_LPP.pdf
_LPP.pdf
PiryaHussain
 
Lpp formulations - 2018 - 1
Lpp  formulations  - 2018 - 1Lpp  formulations  - 2018 - 1
Lpp formulations - 2018 - 1
Utshav Chaudhary
 
2nd Semester MBA (Dec-2013) Question Papers
2nd  Semester MBA (Dec-2013) Question Papers2nd  Semester MBA (Dec-2013) Question Papers
2nd Semester MBA (Dec-2013) Question Papers
BGS Institute of Technology, Adichunchanagiri University (ACU)
 
Final Report HeroMoto
Final Report HeroMotoFinal Report HeroMoto
Final Report HeroMoto
Vivek Pabla
 
Mb0048
Mb0048Mb0048
Or ch2 (2)
Or ch2 (2)Or ch2 (2)
Or ch2 (2)
Fuad Mustefa
 
P79 mba202
P79 mba202P79 mba202
P79 mba202
Sonal Patil
 
Ma. PATHFINDER
Ma. PATHFINDERMa. PATHFINDER
Ma. PATHFINDER
Don Benedict
 
Acct 434 week 4 midterm exam (devry)
Acct 434 week 4 midterm exam (devry)Acct 434 week 4 midterm exam (devry)
Acct 434 week 4 midterm exam (devry)
slicespiece
 
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
BGS Institute of Technology, Adichunchanagiri University (ACU)
 
403 e86280b994e71948f9e0c1b385947
403 e86280b994e71948f9e0c1b385947403 e86280b994e71948f9e0c1b385947
403 e86280b994e71948f9e0c1b385947
Joseph Konnully
 
Decision Making Process
Decision Making ProcessDecision Making Process
Decision Making Process
sherif AL-Kammash
 
R09 operations research
R09 operations  researchR09 operations  research
R09 operations research
అనిల్ జూలూరి
 
1. (TCO 2) An example of a period cost is (Points 5)       ins.docx
1. (TCO 2) An example of a period cost is (Points  5)       ins.docx1. (TCO 2) An example of a period cost is (Points  5)       ins.docx
1. (TCO 2) An example of a period cost is (Points 5)       ins.docx
hyacinthshackley2629
 
Mba205 winter 2017
Mba205 winter 2017Mba205 winter 2017
Mba205 winter 2017
smumbahelp
 
Tata ace solution
Tata ace solutionTata ace solution
Tata ace solution
Ganesh Iyer
 
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTSSMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
solved_assignments
 
test
testtest

Similar to Or tybms (20)

Ddb29 ccceba547209ddab45a17330016
Ddb29 ccceba547209ddab45a17330016Ddb29 ccceba547209ddab45a17330016
Ddb29 ccceba547209ddab45a17330016
 
30 model questions OR
30 model questions OR30 model questions OR
30 model questions OR
 
_LPP.pdf
_LPP.pdf_LPP.pdf
_LPP.pdf
 
Lpp formulations - 2018 - 1
Lpp  formulations  - 2018 - 1Lpp  formulations  - 2018 - 1
Lpp formulations - 2018 - 1
 
2nd Semester MBA (Dec-2013) Question Papers
2nd  Semester MBA (Dec-2013) Question Papers2nd  Semester MBA (Dec-2013) Question Papers
2nd Semester MBA (Dec-2013) Question Papers
 
Final Report HeroMoto
Final Report HeroMotoFinal Report HeroMoto
Final Report HeroMoto
 
Mb0048
Mb0048Mb0048
Mb0048
 
Or ch2 (2)
Or ch2 (2)Or ch2 (2)
Or ch2 (2)
 
P79 mba202
P79 mba202P79 mba202
P79 mba202
 
Ma. PATHFINDER
Ma. PATHFINDERMa. PATHFINDER
Ma. PATHFINDER
 
Acct 434 week 4 midterm exam (devry)
Acct 434 week 4 midterm exam (devry)Acct 434 week 4 midterm exam (devry)
Acct 434 week 4 midterm exam (devry)
 
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
2nd Semester MBA (Dec-2015; Jan-2016) Question Papers
 
403 e86280b994e71948f9e0c1b385947
403 e86280b994e71948f9e0c1b385947403 e86280b994e71948f9e0c1b385947
403 e86280b994e71948f9e0c1b385947
 
Decision Making Process
Decision Making ProcessDecision Making Process
Decision Making Process
 
R09 operations research
R09 operations  researchR09 operations  research
R09 operations research
 
1. (TCO 2) An example of a period cost is (Points 5)       ins.docx
1. (TCO 2) An example of a period cost is (Points  5)       ins.docx1. (TCO 2) An example of a period cost is (Points  5)       ins.docx
1. (TCO 2) An example of a period cost is (Points 5)       ins.docx
 
Mba205 winter 2017
Mba205 winter 2017Mba205 winter 2017
Mba205 winter 2017
 
Tata ace solution
Tata ace solutionTata ace solution
Tata ace solution
 
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTSSMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
SMU MBA SEM 2 SPRING 2015 SOLVED ASSIGNMENTS
 
test
testtest
test
 

Recently uploaded

Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
siemaillard
 
Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10
nitinpv4ai
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
Krassimira Luka
 
CIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdfCIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdf
blueshagoo1
 
Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.
IsmaelVazquez38
 
Stack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 MicroprocessorStack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 Microprocessor
JomonJoseph58
 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
PsychoTech Services
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Nguyen Thanh Tu Collection
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
HajraNaeem15
 
Nutrition Inc FY 2024, 4 - Hour Training
Nutrition Inc FY 2024, 4 - Hour TrainingNutrition Inc FY 2024, 4 - Hour Training
Nutrition Inc FY 2024, 4 - Hour Training
melliereed
 
Skimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S EliotSkimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S Eliot
nitinpv4ai
 
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
MJDuyan
 
MDP on air pollution of class 8 year 2024-2025
MDP on air pollution of class 8 year 2024-2025MDP on air pollution of class 8 year 2024-2025
MDP on air pollution of class 8 year 2024-2025
khuleseema60
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
National Information Standards Organization (NISO)
 
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
Nguyen Thanh Tu Collection
 
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
ImMuslim
 
Standardized tool for Intelligence test.
Standardized tool for Intelligence test.Standardized tool for Intelligence test.
Standardized tool for Intelligence test.
deepaannamalai16
 
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Denish Jangid
 
Educational Technology in the Health Sciences
Educational Technology in the Health SciencesEducational Technology in the Health Sciences
Educational Technology in the Health Sciences
Iris Thiele Isip-Tan
 
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdfREASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
giancarloi8888
 

Recently uploaded (20)

Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
 
Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10Haunted Houses by H W Longfellow for class 10
Haunted Houses by H W Longfellow for class 10
 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
 
CIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdfCIS 4200-02 Group 1 Final Project Report (1).pdf
CIS 4200-02 Group 1 Final Project Report (1).pdf
 
Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.Bossa N’ Roll Records by Ismael Vazquez.
Bossa N’ Roll Records by Ismael Vazquez.
 
Stack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 MicroprocessorStack Memory Organization of 8086 Microprocessor
Stack Memory Organization of 8086 Microprocessor
 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
 
Nutrition Inc FY 2024, 4 - Hour Training
Nutrition Inc FY 2024, 4 - Hour TrainingNutrition Inc FY 2024, 4 - Hour Training
Nutrition Inc FY 2024, 4 - Hour Training
 
Skimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S EliotSkimbleshanks-The-Railway-Cat by T S Eliot
Skimbleshanks-The-Railway-Cat by T S Eliot
 
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
 
MDP on air pollution of class 8 year 2024-2025
MDP on air pollution of class 8 year 2024-2025MDP on air pollution of class 8 year 2024-2025
MDP on air pollution of class 8 year 2024-2025
 
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
Jemison, MacLaughlin, and Majumder "Broadening Pathways for Editors and Authors"
 
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
 
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
 
Standardized tool for Intelligence test.
Standardized tool for Intelligence test.Standardized tool for Intelligence test.
Standardized tool for Intelligence test.
 
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
 
Educational Technology in the Health Sciences
Educational Technology in the Health SciencesEducational Technology in the Health Sciences
Educational Technology in the Health Sciences
 
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdfREASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf
 

Or tybms

  • 1. TYBMS – Operations Research Date – 5th March 2020 Attempt any THREE questions Marks : 45 Duration: 1 ½ hr Q.1. ABC ltd. Manufactures two products P and Q.Profit per unit for P and Q is Rs. 40 and Rs. 80 respectively. One unit of P requires 2 machines hours and one unit of Q requires 3 machines hours. Availability of machine hours is 48. Maximum market demand for P is 15 units and for Q is 10 units. Formulate as LPP and solve by graphical method to obtain maximum total profit. Q.2. A company has 3 warehouses W1, W2 and W3 from where it supplies products to 3 markets M1, M2 and M3. Availability at warehouses is 2000, 1500 and 100 units. Market requirements are 1200, 1800 and 1000 units. Profit potential per unit from each warehouse to each market is as follows: To From Profit per unit (Rs.) M1 M2 M3 W1 25 22 23 W2 15 20 18 W3 18 17 16 Find optimal transportation schedule to maximize total profit. Q.3. The following is the cost matrix (cost in Rs. 1000) of assigning 4 clerks to 4 key purchasing jobs. Clerk 1 cannot be assigned to job 1. Jobs Clerks J1 J2 J3 J4 1 - 5 2 0 2 4 7 5 6 3 5 8 4 3 4 3 6 6 2 Find an Optimal Assignment to minimize total cost. Each clerk can handle only one job. Write an alternate optimal solution if it exists. Q.4. A company has three factories F1, F2 and F3 with supply of 800, 600 and 1000 units respectively. There are four warehouse W1, W2, W3 and W4 with demand of 400, 500, 700 and 800 units respectively. A feasible solution is give below. (With allocations and unit cost data) i. Test the solution for optimally using modified distribution method ii. If the solution is not optimal, find optimal solution by modifying it iii. Find minimum transportation cost To From W1 W2 W3 W4 Supply F1 300 500 800 F2 100 500 600 F3 200 800 1000 Demand 400 500 700 800 2400 2400 12 6 20 25 6 11 15 12 9 15 17 7