Operational Research B.C.A 17-20 Sem4

SAINTGITS COLLEGE OF APPLIED SCIENCES

First Internal Assessment Examination, FEB 2019

Department of  B.C.A    , Semester IV

Operational Research

Time    : 2 hours                                                                           Total:  50 Marks

Section A

1.Objective function is of the form z= c₁x₁+ c₂x₂+……………+ c_nx_n, x_{1,…………..}x_n are decision variables.

2.Formulating the problem , constructing the model , deriving the solution ,Testing the validity, controlling the solution, implementing the result.

3.Graphical method is used for solving  L.P.P.If a problem containing more than 2 variables we can’t solve this method. If there are many constraints graphical method can’t be used.

4.The are one time models. They represent the system at a specified time and do not take into account the changes over time.Dynamic models for situation in which time often plays an important role

5.(i) logical and systematic approach (ii) indicates limitations and scope of the problem(iii)make the over all structure of the problem more comprehensible.

6.If a constraint has ≤(≥)then in order to make it an equality we add slack (surplus) variables

                                                                                                                       

                                                                        Section B

7.(0,0) ,z= 0

   (2,0) ,z= -2

    (4,2) , z=0

    (2,4), z= 6

    (0, 10/3), z=20/3

           

8. Explain any three models

9.x=20,y=0, z=2000

10.In defence,industry, planning, agriculture, transport.

11.Proportionality, additivity, Divisibility,certainity, finiteness, optimality

12.(0,0), z=0

      (400,0), z=2000

      (400,200), z=2600

      (150,700),z=2850

      (0, 700), z=2100

Section C

13.x=2, y=0, z=10

14.x=4500/13, y=2100/13, z=2700