1) Discuss the principles of modelling in Operations Research. Identify the application of O.R. in manufacturing and service sectors.
2. Solve the following linear programming problem through simplex method
Minimize Z = 600x1 + 500x2
Subject to
2x1 + x2 ≥ 80
x1 + 2x2 ≥ 60
x1, xz ≥ 0
3) a) Explain the Primal – Dual relationship.
b) What is the significance of dual variable in LP – Problem.
4) a) Explain MAXIMIN and MINIMAX criteria in Game Theory.
b) Explain saddle point, pure and Mixed Strategy.
5) In a bank there is only one window, a solitary employee performs all the services required and window remains continuously open from 7 AM to 1 PM. It has been discovered that the average number of clients are 54 during the day and that the average service items in of five minutes per person. Calculate
a) The average number of clients in the system
b) The average waiting time
c) The utilization rate of the window
6) Write short notes on
a) Goal Programming
b) Dynamic Programming