1) Describe the models in Operations Research in detail.
2) Write down the assumptions in Linear Programming.
3) Solve the following L.P.P by using graphical method.
Maximize Z = 10x1 + 8x2
Subject to 5x1 + 10x2 ≤ 50
8x1 + 2x2 ≤ 16
3x1 – 2x2 ≥ 6
x1 and x2 ≥ 0
4) What is meant by an unbalanced transportation problem? Describe how will you solve it?
5) Describe the Johnson’s algorithm for ‘4’ jobs and two machines with suitable example.
6) What is meant by a replacement problem? Write down its types?
7) Solve the game.
B
1 2
A 1 6 9
2 8 4
8) What are the costs involved in inventory management?
9) Write down the guidelines for constructing network diagram
10) ABC Company requires 15,000 units per year of bought-out component. Ordering cost is Rs.125 per order and carrying cost per unit per year is 20% of the purchase price per unit. Purchase price per unit is Rs.75. Determine the economic order quantity and the time between successive orders.
11) What are the features of a waiting line model? Describe them in detail.