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 Find out the optimal solution of the following LP problem through SIMPLEX method.

Maximise Z = 20 x 1 + 6 x 2 + 8 x 3

Subject to

8 x 1 + 2 x 2 + 3 x 3 ≤ 200

4 x 1 + 3 x 2 ≤ 150

2 x 1 + x 3 ≤ 50

x 1 , x 2 and x 3 > 0

Write dual of the problem given in Q.1. Explain the significance of dual variable in any LP problem.

 

• a) Explain the difference between pure strategy and mixed strategy.

b) How the concept of dominance is used in simplifying the solution of a

rectangular game?

a) Discuss the parameters of Queing problem.

b) Telephone department will install a second booth when convinced that an

arrival would expect to waiting for at least 3 minutes to get his chance. By how

much should be the flow of arrivals in order to justify a second booth. Length

of phone call average is 3 min. Assume arrival and servicing rate as Poisson.

Write short notes on the following

• Integer Programming
• Dynamic Programming
• Monte Carlo Simulation