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2/18/2015 AOR Unit test-I - [email protected] - Gmail

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Semester: 02 Dept: MBA

ANSWER ALL QUESTIONS

PART-A (10*2=20)

1. What is an unbounded solution?

2. Write dual for the follow ing LPP

Maximise Z = x1 + x2

Subject to 2 x1 + x2 ≤ 2

-2 x1 + x2 ≥ -5

x1, x2 ≥0

3. Why are slack and surplus variables used w hile solving Linear Programming Problems

using Simplex method?

4. List any four applications of Operation Research in Management f ield.

5. What is sensitivity analysis?

6. Define optimal solution in Simplex method

7. Explain Artif icial variables.

8. Define Graphical Method.

9. What are the methods to apply Artif icial variables.

10. Write any tw o difference betw een simplex and dual simplex.

ANSWER ALL QUESTIONS

PART- B (3*10=30)

11. (a) A factory produces three products. These products are processed on three different

machines. The time required to manufacture one unit of each of the three products and

the daily capacity of the three machines are given in the table below :

Machines Product 1 Product 2 Product 3 Machine

M1 2 3 2 440

M2 4 -- 3 470

M3 2 5 -- 430

Its is required to determine the daily number of units to be manufactured for each

product. The profit per unit for product 1, 2 and 3 is Rs.4, Rs.3 and Rs.6 respectively.

is assumed that all the amounts produced are consumed in the market.

mathematical model for the problem.

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