What is Operation Research? Explain features and application of OR.
[7 marks]What is LPP? Discuss in brief components of an LPP. Also give its limitations.
[7 marks]Solve the following LP Problem using Simplex Method. Max Z = 3X1 + 5X2 +4X3 Subject to constraints
[7 marks]2x1 + 3x2 ≤ 8, (ii) 2x2 + 5x3 ≤ 10 (iii) 3x1 + 2x2 + 4x3 ≤ And X1,X2,X3 ≥ 0
[15 marks]Solve the following LP problem using Graphical method: Maximize Z = 20x1 + 10x2 Subject to the constraints 1) x1 + 2x2 ≤ 40 2) 3x1 + x2 ≥ 30 3) 4x1+ 3x2 ≥ 60 And x1, x2 ≥ 0.
[7 marks]Determine an initial Basic feasible solution to the following Transportation problem by using (a) Least Cost Method (b)Vogel Approximation Method D1 D2 D3 D4 Supply S1 21 16 15 3 11 S2 17 18 14 23 13 S3 32 27 18 41 19 Demand 6 6 8 23 Q-3 (a) What is replacement? Describe some important situations.
[7 marks]The production department of a company requires 3,600 kg of raw material for manufacturing a particular item per year. It has been estimated that the cost of placing an order is Rs 36 and the cost of carrying inventory is 25 per cent of the investment in the inventories. The price is Rs 10 per kg. Help the purchase manager to determine an ordering policy for raw material
[7 marks]The cost of a machine is Rs.6100 and its scrap value is Rs.100.The maintenance costs found from experience are as follows: Year : 1 2 3 4 5 6 7 Maintenance 100 250 400 600 900 1200 1600 2000 cosr(Rs): When should the machine be replaced?
[8 marks]Discuss the various types of inventories in detail. Page 1 of
[2 marks]Explain Calling population for queuing system.
[7 marks]Solve the following games by using maximin(minimax) principle, whose payoff matrix are given below: Include in your answer: (i) strategy selection for each player (ii) the value of the game of each player. Does the game have a saddle point? Player B Player A B1 B2 B3 B4 A1 1 7 3 A2 5 6 4 A3 7 2 0
[3 marks]In a service department manned by one server, on an average one customer arrives every minutes It has been found that each customer requires 6 months to be served. Find Out:
[7 marks]Average Queue Length
[ marks]Average time spent in the system
[ marks]Probability that there would be two customers in the Queue
[ marks]What is simulation Explain types of Simulation?
[7 marks]Give three different examples of sequencing problems in your daily life.
[7 marks]Asmall project is composed of 7 activities whose time estimates are listed in the table below Activity 1-2 1-3 1-4 2-5 3-5 4-6 5-6 Optimistic 1 1 2 1 2 2 Most likely 1 4 2 1 5 5 Pessimistic 7 7 8 1 14 8
[15 marks]Draw PERT Diagram. (ii) Find the expected duration and variance for each activity. (iii) What is the expected project length
[ marks]Explain the difference between PERT and CPM.
[7 marks]There are seven jobs, each of which has to go through the machine Aand Bin the order AB.Processing time in hours are as follows: Job: 1 2 3 4 5 6 Machine A: 3 12 15 6 10 11 9 Machine B: 8 10 10 6 12 1 Determine a sequence for these jobs that will minimize the total elapsed time T.Also find T and idle time for machine Aand B. Page 2 of
[2 marks]