INFORMATION FOR BLOG READERS

IF YOU WANT SOLVED QUESTION PAPERS OF:
1. DIBRUGARH UNIVERSITY
2. GUWAHATI UNIVERSITY
3. NIOS
4. IGNOU AND
5. AHSEC
IN YOUR WHATSAPP NUMBER, THEN JOIN MY BROADCAST LIST BY SENDING YOUR CONTACT INFO AND CLASS TO MY WHATSAPP NUMBER 9577097967.
******************************************************
JOB INFO AND SOLVED QUESTION PAPERS OF COMPETITIVE EXAM WILL ALSO BE PROVIDED.
******************************************************
I AM ALSO BUYING QUESTION PAPERS AND HAND WRITTEN NOTES OF DIBRUGARH UNIVERSITY FOR MY BLOG(ARTS AND SCIENCE STREAM). INTERESTED STUDENTS CAN CONTACT ME.

Wednesday, May 03, 2017

Dibrugarh University (BA - 4th Semester) Question Papers - Mathematics General (May' 2015)

2015
(May)
MATHEMATICS
(General)
Course: 401
A: (Linear Programming)
Full Marks: 80
Pass Marks: 32
Time: 3 hours
The figures in the margin indicate full marks for the questions
GROUP – A

1. (a) Define convex set. 1
(b) Write the mathematical form of a general linear programming problem. 2
(c) Answer any one question:

  1. Prove that the intersection of two convex sets is again a convex set.
  2. A firm produces three types of clothes say A, B and C. Three kinds of wools are required for it, say red wool, green wool and blue wool. One unit length of type A cloth needs 2 meters of red wool and 3 meters of blue wool; one unit length of type B cloth needs 3 meters of red wool, 2 meters of green wool and 2 meters of blue wool; and one unit length of type C cloth needs 5 meters of green wool and 4 meters of blue wool. The firm has only a stock of 8 meters of red wool, 10 meters of green wool and 15 meters of blue wool. It is assumed that the income obtained from the one unit length of type A cloth is Rs. 3, of type B cloth is Rs. 5, and that of type of C cloth is Rs. 4. Formulate the problem as linear programming problem.
(d) Answer any one question:
  1. Solve graphically the following LPP:
Maximize
Subject to
And
  1. Solve graphically the following LPP:
Minimize
Subject to
And
2. (a) What do you mean by ‘feasible solution’ of linear programming problem?
(b) Define slack and surplus variables of a linear programming problem.
(c) Answer any one question:
  1. Using the simplex method, solve the linear programming problem:
Minimize
Subject to
And
  1. Discuss the computational procedure of simplex method to solve a linear programming problem.
(d) Answer any one question: 8
  1. Solve the LPP using two-phase method:
Minimize
Subject to
And
  1. Using Big-M method, solve the following LPP:
Minimize
Subject to
And
3. (a) Write true or false: The dual of a maximization problem is a minimization problem. 1
(b) What do you mean by symmetric primal dual and unsymmetric primal dual and unsymmetric primal dual problems? 2
(c) Answer any one question: 5
  1. Set up the dual of the following primal problem:
Minimize
Subject to
And
is unrestricted in sign.
  1. Prove that dual of the dual of a given primal is the primal itself.
4. (a) Answer the following questions: 1x2=2
  1. Define unbalanced transportation problem.
  2. Define feasible solution of transportation problem.
(b) Define different types of basic feasible solution. 2
5. Answer any one question: 8
  1. Obtain an optimal solution using Vogel’s method:

Supply
19
30
50
10
7
70
30
40
60
9
40
8
70
20
18
Demand
5
8
7
14
34

  1. Write short notes on:
  1. North-West corner rule.
  2. Vogel’s approximation method.

Labels

Absorption Costing (1) Accountancy (4) accounting for partnership firms (3) Accounting for Share Capital (3) accounts of non trading concern (3) advanced financial accounting (18) AHSEC (149) ahsec 11 (47) ahsec 12 (60) ahsec notes (136) AHSEC Question Papers (35) Assam Slet (10) bcfm (11) bills of exchange (6) branch accounting (3) Budgetary Control (3) Budgetary Control Notes (2) business communication (28) Business Environment Notes (17) business regulatory framewrok (49) Business Statistics Notes (28) cash flow statement (5) cbse 12 (39) cbse notes (53) commerce (13) company law (23) corporate accounting (33) corporate laws (14) cost accounting (63) cost and management accounting (34) cpt (36) cpt 200 (7) cpt notes (30) dibrugarh university (1179) dibrugarh university notes (611) dibrugarh university question paper (474) dibrugarh university solved papers (267) dibrugarh university syllabus (47) direct tax law (49) eco - 01 (4) ECO - 02 (2) ECO - 03 (2) ECO - 05 (6) ECO - 06 (1) ECO - 07 (1) eco - 08 (4) eco - 09 (1) ECO - 10 (2) ECO - 11 (3) ECO - 12 (7) ECO - 13 (2) ECO - 14 (4) entrepreneurship (14) fianancial accounting (3) financial accounting (48) Financial Accounting Notes (23) financial management (18) Financial statements analysis (14) funds flow statement (3) guwahati university (289) guwahati university syllabus (52) Hire Purchase (5) Human Resource Management (12) icwai (38) icwai notes (39) ignou solved assignments (83) ignou solved question papers (121) income from house property (5) income from salary (4) Income Under the head Salaries (11) information technology (10) Installment Purchase (4) issue of shares (4) kkhsou (13) M.com (62) Management Accounting Notes (31) MCQ (11) paper I (1) paper II (9) paper III (1) principle of business mangement (16) Principles of Marketing Notes (16) royalty accounts (3) sale of goods act (8) semester I (165) Semester II (156) semester III (92) semester IV (149) semester V (136) semester VI (91) slet (13) Slet Ne (10) Small Business Management (7) solved assignments (22) UGC - NET: Commerce (08) (14) UGC - NET: Commerce (08) Paper II (3) UGC - NET: Commerce (08) Paper III (14) ugcnet solved question papers (23) Variance Analysis Notes (1)