Search Your Paper

Monday, September 5, 2016






Roll No.
Total No. of Questions : 07
B.Com(Sem.–3rd)
OPERATION RESEARCH
Subject Code : BCOP-304
Paper ID : [B1127]
Time : 3 Hrs.                                        
INSTRUCTION TO CANDIDATES :
1. Section –A, is Compulsory.
2. Attempt any four questions from Section-B.

Section –A

Q.1.(a) Define artificial variables and explain their significance.

(b) Write the condition to determine the existence of unbounded solution of linear pro- gamming 
problem in simplex method.

(c) Write the dual of the following LP.
Min z = 4x2 + 5x3
2x1 – x2 + 4x3 ≤ 3
2x2 – 5x3 ≥ 7
x1, x3 ≥ 0

(d) In a balanced transportation problem with m sources and n destinations what is the number of nonbasic variables?

(e) Define degeneracy in transportation problem. Explain briefly how the degeneracy occurs in intermediate stages.

(f) Check whether the following game possesses saddle point. If so, what is the value of the game?

A
8
5
8
8
3
5
7
4
5
6
6
6

A

g) Solve the following game using odds method:

                                                
B
-1
3
2
-1


(h) Write the Fulkerson’s rule to number the nodes in a network diagram.
(i) Define al the costs associated with the inventories.
(j) A manufacturer has to supply his customer with 60 units of his product per year. Shortages are not allowed and the storage cost amounts to Rs. 0.60 per unit per year. The setup cost per un is Rs. 80. Find the optimum run size and the minimum average yearly cost.

Section –B

Q.2.(a). The manager of an oil refinery must decide on the optimum mix of two possible blending processes of which the input and output production runs are a follows.

Process                          Input                                      Output
Crude A      Crude B      Gasoline X                    Gasoline Y
1                           6                 4                6                           9
2                           5                 6                 5                           5

The maximum amounts available of crude A and crude B are 250 units and 20 units respectively. Market demand shows that atleast 150 units of gasoline X and gasoline Y must be produced. The profits per production run from proces 1 and process 2 are Rs. 4 and Rs. 5 respectively. Formulate the problem to maximize the profit.
(b) Write the mathematical formulation of transportation problem.

Q.3.Solve the following linear programming problem by simplex method.

Maximize z = 4x1 + 3x2 + 4x3 + 6x4
x1 + 2x2 + 2x3 + 4x4 ≤ 80
2x1 + 2x3+ x4 ≤ 60
3x1 + 3x2 + x3 + x4 ≤ 80
x1, x2, x3,x4 ≥ 0

Q.4.Find the optimal solution of the transportation problem where the costs, the capacities of the sources and the demands of the destinations are given in the table below:

Destination
Source
1
2
3
4
Supply

1
23
27
16
18
30
2
12
17
20
51
40
3
22
28
12
32
53
Demand
23
27
16
18


 Q.5.(a). Given the following data, determine the least cost allocation of the available workers to the five jobs.
                  

J1
J2
J3
J4
J5
W1
8
4
2
6
1
W2
0
9
5
5
4
W3
3
8
9
2
6
W4
4
3
1
0
3
W5
9
5
8
9
5
                  
 (b). Solve the following problem for the salesman to determine the route covering the areas A, B, C,D and E so that he total cost is minimum
         

A
B
C
D
E
A
-
2
5
7
1
B
6
-
3
8
2
C
8
7
-
4
7
D
12
4
6
-
5
E
1
3
2
8
-

Q.6.(a). Solve the following game using the dominance rule
                                     
4
2
0
2
1
1
4
3
1
3
2
2
4
3
7
-5
1
2
4
3
4
-1
2
2
4
3
3
-2
2
2

(b). Determine the optimal sequence of jobs that minimizes the total time required in performing the following jobs on three machines in the order ABC:

Processing time                      jobs
In hours )    j1       j2       j3       j4       j5       j6       j7
Machine A  10      8        12      6        9        11      9       
Machine B  6        4        6        5        3        4        2
Machine C  8        7        5        9        10      6        5
Also determine the total elapsed time and idle time for each machine.

Q.7. The information about a project is give in the following table.
Activity
Predecessor Activity
Duration (weeks)

A
-
8
B
-
10
C
-
8
D
A
10
E
A
16
F
B,D
17
G
C
18
H
C
14
i
F,G
9

(i). Draw the network for the above project.
(i). Determine the critical path and the duration of the project.

(i). Find all three types of   floats.

0 comments:

Post a Comment

North India Campus

Popular

Archive

North India Campus. Powered by Blogger.

Welcome to North India Campus

Search Question Paper

Labels

1st & 2nd Semester BE 1st Semester B.Com 1st Semester BBA 1st Semester BCA (D) 1st Semester Bsc. IT (D) 1st Semester Bsc. IT 1 1ST Semester M.SC IT(D) 1st Semester M.Tech 1ST Semester MBA 1st Semester MCA 1st Semester MCA (D) 2nd Sem B.Com 2nd Sem BB 2nd Sem BBA 2nd Sem BCA 2nd Sem BCA (D) 2nd Sem BSC IT(D) 2nd Sem BSC(IT) 2nd Semester MBA A Foundation Course in Human Values and Professional Ethics Accounting and Financial Management Accounting and Financial Managementm ACCOUNTING FOR MANAGEMENT Adolescence and Family Education B.Ed (2012) Adolescence And Family Education B.Ed (Dec 2013) Adolescence And Family Education B.Ed (Dec 2014) ADVANCE SOFTWARE ENGINEERING Advanced Accounting 2 ADVANCED COMMUNICATION SYSTEMS ADVANCED MATHEMATICS FOR ENGINEERS Aligarh Muslim University Applied Physics 1 B.Ed (Dec 2008) B.Ed (Dec 2009) B.Ed (Dec 2011) B.Ed (Dec 2012) B.Ed (Dec 2013) B.Ed (Dec 2014) B.Ed (June 2008) B.Ed (June 2009) B.Ed (June 2015) BA 1 Syllabus Bachelor in Science Fashion and Technology Basic Accounting Basic Chemistry Basic Electrical Engineering Basic Electronics Basic Mathematics BSC 1 Basoc Accounting BBA 1 BBA 2 BCA Question Papers BCA Syllabus 1 Bridge Course in Mathematics Bsc.IT Business Communication-1 Business Communication-2 Business Communication-I 2 Business Environment 2 Business Laws 1 Business Mathematics Business Organisation and Management Business Statistics 2 C C Programming C Programming Bsc IT 1 C Programming Lecture Videos CADM 1st Semester Communication 2 Communication and Soft Skills Communication Skills Communication Skills 1 Communicative English Computer and Education B.Ed (Dec 2011) Computer and Education B.Ed (Dec 2012) Computer Applications Computer Fundamental Computer Graphics Video Lecture Computer in Education B.Ed (Dec 2008) Computer in Education B.Ed (Dec 2009) Computer In Education B.Ed (Dec 2013) Computer in Education B.Ed (Dec 2014) Computer Mathematical Foundation MCA D Computer Networks 1st Semester Computer Operating System Computer Organization and Assembly Language Computer System Architecture 2 Corporate Accounting Curriculum and Instruction B.Ed (Dec 2009) Curriculum and Instruction B.Ed (Dec 2011) Curriculum and Instruction B.Ed (Dec 2012) Curriculum and Instruction B.Ed (Dec 2013) Curriculum and Instruction B.Ed (Dec 2014) Curriculuman and Instruction B.Ed (Dec 2008) DATA COMMUNICATION NETWORK Data Structure 2 Data Structures 2 data structures 2 BCA D Data Structures Through C 2 Database Management with Microsoft Access Bsc IT 1 Delhi University News Desktop Publishing Tools 2 Digital Circuits and Logic Design 2 Digital Circuits and Logic Design 2 BCA D Digital Electronics 2 Digital Electronics Fundamentals 2 Distance Education B.Ed (Dec 2008) Distance Education B.Ed (Dec 2009) Distance Education B.Ed (Dec 2011) Distance Education B.Ed (Dec 2012) Distance Education B.Ed (Dec 2013) Distance Education B.Ed (Dec 2014) Dot Net Interview Questions & Answers. Education and Evaluation B.Ed (Dec 2009) Education and Society B.Ed (Dec 2008) Education and Society B.Ed (Dec 2009) Education and Society B.Ed (Dec 2011) Education and Society B.Ed (Dec 2012) Education and Society B.Ed (Dec 2013) Education and Society B.Ed (Dec 2014) Education Technology B.Ed (Dec 2009) Educational Evaluation B.Ed (Dec 2008) Educational Evaluation B.Ed (Dec 2011) Educational Evaluation B.Ed (Dec 2012) Educational Evaluation B.Ed (Dec 2013) Educational Evaluation B.Ed (Dec 2014) Educational Technology B.Ed (Dec 2008) Educational Technology B.Ed (Dec 2011) Educational Technology B.Ed (Dec 2012) Educational Technology B.Ed (Dec 2013) ELECTRONICS SYSTEM DESIGN Engineering Drawing and Graphics Engineering Mathematics Engineering Question Paper set 1 Engineering Syllabus English and Communication Skills English and Communication Skills 2 Environmental Science 2 Finaicial Accounting Financial Accounting Financial Management 2 Sem Fundamentals of Information Technology Bsc 1 Guidance and Counseling B.Ed (Dec 2008) Guidance and counseling B.Ed (Dec 2009) Guidance and Counseling B.Ed (Dec 2011) Guidance and Counseling B.Ed (Dec 2012) Guidance and Counseling B.Ed (Dec 2013) HIV and Aids Education B.Ed (Dec 2011) HIV and Aids Education B.Ed (Dec 2012) HIV and Aids Education B.Ed (Dec 2013) Hotel Management and Air Lines Syllabus HP University News Human Resource Management Human Resource Management 2 Information Management Information Technology for Management Intoduction to microprocessor 2 BCA D Introduction of Computers BBA1 Introduction to Computers 2 Introduction to I.T MCA D Introduction to Information Technology Introduction to Information Technology(BCA) Kurukshetra University News Lecture 20 Clipping -- Lines And Polygons Macro Economics 2 Management Syllabus Managerial Economics Marketing Management 2 Master Of Technology M-Tech Syllabus MBA Papers MCA Notes MCA Question Papers Mercantile Law 2 Metal Cutting Question Paper Metal Forming Question Paper Micro Economics Network Security NEURAL NETWORKS & FUZZY LOGIC Object Oriented Programming in C++ Object Oriented Programming in Cpp OOP CPP 2 Operating system (BCA) Operating System Bsc IT 1 Organisational Behaviour Organization Behaviour 2 Other Universities Others Panjab University News PCM 2 BCA D PGDCA Pharmacy Syllabus Principles and Practices of Management principles of management 2 Production and Operations Management 2 Programming in C Programming in C MCA D Programming Logic Development with C Psychology of Learning and Development B.Ed (Dec 2013) Psychology of Learning and Development B.Ed (Dec 2008) Psychology of Learning and Development B.Ed (Dec 2009) Psychology of Learning and Development B.Ed (Dec 2011) Psychology of Learning and Development B.Ed (Dec 2012) PTU Affiliated Colleges of Integerated College PTU Affiliated Colleges of Management College PTU Affiliated Colleges of Architecture PTU Affiliated Colleges of Engineering PTU Affiliated Colleges of Pharmacy College PTU Forms Download PTU News and Events Quantitative Techniques RDBMS 2 RDBMS-I 2 Relational Database Management System Research Methodology 2 SAD 2 BCA D Syllabus of Computer Applications Syllabus of Journalism and Mass Communication Syllabus of Medical Laboratory Science System Analysis and Design System Analysis and Design 2 System Analysis and Design MCA D Teacher and School B.Ed (Dec 2008) Teacher and School B.Ed (Dec 2009) Teacher and School B.Ed (Dec 2011) Teacher and School B.Ed (Dec 2012) Teacher and School B.Ed (Dec 2013) Teacher of English B.Ed (Dec 2009) Teaching of English B.Ed (Dec 2008) Teaching of English B.Ed (Dec 2011) Teaching of English B.Ed (Dec 2012) Teaching of English B.Ed (Dec 2013) Teaching of Mathematics B.Ed (Dec 2009) Teaching of Mathematics B.Ed (Dec 2011) Teaching of Mathematics B.Ed (Dec 2012) Teaching of Mathematics B.Ed (Dec 2013) Teaching of Science B.Ed (Dec 2008) Teaching of Science B.Ed (Dec 2009) Teaching of Science B.Ed (Dec 2011) Teaching of Science B.Ed (Dec 2012) Teaching of Science B.Ed (Dec 2013) Teaching of Social Studies B.Ed (Dec 2008) Teaching of Social Studies B.Ed (Dec 2011) Teaching of Social Studies B.Ed (Dec 2012) Teaching of Social Studiess B.Ed (Dec 2013) Teaching of Social Study B.Ed (Dec 2009) Technical Communication UGC NET Computer Science Question Paper Uttarakhand Open University Video Lecture Web Technologies 1st Semester Web Technologies 2 Welding Technology Question Paper Workshop on IT and E-Commerce 2