Search Your Paper

Thursday, May 25, 2023

B. Com. - Bachelor of Commerce 6th Semester
Operational Research


Time Allowed: Three Hours] [Maximum Marks: 80

Note: Attempt four questions from Section A and two questions each from Section B and Section C. Use of a non-programmable calculator is allowed. Each question in Section A carries 5 marks. Each question in Section B and in Section C carries 15 marks.


1. Write the dual to the following primal LP problem:


3. Solve the following Assignment Problem. The data given in the table refer to production in units.


4. A steel company is negotiating with its union for revision of wages to its employees. The management, with the help of a mediator, has prepared a pay-off matrix shown below. Plus sign represents wage increase, while negative sign stands for wage decrease. Union has also constructed a table which is comparable to that developed by management. The management does not have the specific knowledge of game theory to select the best strategy (or strategies for the firm) you have to assist the management on the problem. What game value and strategies are available to the opposing group?

Additional costs to steel company (Rs.)


5. A machine costs Rs. 10000 operating costs Rs. 500 per year for first five years. In the sixth and succeeding years operating costs increase by Rs. 100 per year. Assuming 10% discount rate of money per year, find the optimum length of time to hold the machine before it is replaced.

6. Choose the list product applying Hurwitz method with coefficient of optimism a = .60 to the following data:



7. Old hens can be bought at Rs. 2 each and young ones at Rs. 5 each. The old hens lay 3 eggs per week and the young ones lay 5 eggs per week, each egg being worth 30 Paise. A hen costs Re. 1 per week to feed. Mr. Amit has only Rs. 80 to spend for hens. How many of each kind should Mr. Amit buy to give a profit of at least Rs. 6 per week, assuming that Mr. Amit cannot have more than 20 hens? Solve the linear programming problem graphically.

8. Solve by Simplex:


9. A company has decided to manufacture some or all of five new products at three of its plants. The production capacity of each of these three plants is as follows:


The sales potential of the five products is as follows:


Plant no. 3 cannot produce product no. 5. The variable cost per unit for the respective plant and product combination is given on the next page.


Based on above data determine the optimum product to plant combination. Test optimality by Modi method to minimize cost.

10. A firm marketing a product has four salesmen S,, S., S, and S. There are three customers to whom a sale of each unit to be made. The chances of making a sale to a customer depend on the salesman customer support. The data depicts the probability with which each of the sales man can sell to each of the customers:


If only one salesman is to be assigned to each of the customers what combination of salesman and customers shall be optimal. Given further that the profit obtained by selling one unit to C, is Rs. 500, whereas it is respectively Rs. 450 and Rs. 540 for sale to C, and C,. What is the expected profit?


11. Solve the following games:


12. A computer has 1000 electronic tubes maximum life of which is 500 hours. The probability of failure at different periods of time is as follows:


Replacement of an individual tubelight failing during service costs Rs. 60 per tube, while in case of group replacement at fixed interval is Rs. 15 per tube.

(i) How the replacement should be done (a) individually or (b) in group?

(ii) When the tubes should be replaced?

13. A company manufactures around 200 mopeds. Depending upon the availability of raw materials and other conditions, the daily production has been varying from 196 mopeds to 204 mopeds, whose probability distribution is as given below:



The finished mopeds are transported in a specially designed three storeyed lorry that can accommodate only 200 mopped. Using the following 15 random numbers 82, 89, 78, 24, 53, 61, 18, 45, 04, 23, 50, 77, 27, 54, 10, stimulate the process to find out:

(i) What will be the average number of mopeds waiting in the factory?

(ii) What will be the average number of empty spaces on the lorry ?


14. The investment staff of TNC Bank is considering four investment proposals for a client : shares, bonds, real estate and savings certificate. These investments will be held for one year.

The past data regarding the four proposals are given below:

Shares. There is 25 percent chance that shares will decline by 10 percent, a 30 percent chance that they will remain stable and a 45 percent chance that they will increase in value by 15 percent. Also the shares under consideration do not pay any dividends.

Bonds. These bonds stand a 40 percent chance of increase in value by 5 percent and 60 percent chance to remaining stable and they yield 12 percent.

Real Estate. This proposal has a 20 percent chance of increasing 30 percent in value, a 25 percent chance of increasing in 20 percent value, a 40 percent chance of increasing in 10 percent value, a 10 percent chance of remaining stable and a 5 percent chance of losing 5 percent of its value.

Savings Certificate. These certificates yield 8.5 percent with certainty.

Use a decision tree to structure the alternatives available to the investment staff, and using the expected value criterion, choose the alternative with the highest expected value.


Post a Comment

North India Campus



North India Campus. Powered by Blogger.

Welcome to North India Campus

Search Question Paper


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