Group B

2. What is Operations Research? Explain the general methods of solving OR models.

3. A chair manufacturing company produces two types of chairs A and B using three machines, X, Y and Z. The time required for each chair on each machine and the maximum time available on each machine for a week are given.

4. Write an algorithm to minimize the solution of LPP using the Simplex method.

5. Given the transportation framework, find the optimal solution.

6. Find the cost per period of machine replacement policy of an installation. There are 200 street lamps. (a) Cost of replacing individual bulbs is given in the table. (b) Cumulative probability of failure is provided.

7. Discuss the single channel queuing model with a suitable example. Give its assumptions.

8. Write short notes on (any two): a. Kendall's notation b. Big M method c. Importance and advantage of duality problem.

Group C

9. Use duality to solve the LPP. Minimize Subject to , , and .

10. A City Corporation has decided to carry out maintenance work. There are four tasks to be completed using 5 contractors. Which of these contractors should be assigned those tasks? Solve the assignment problem to get the best result.

11. Two types of food manufacturers are competing for an increased market share. The payoff matrix describes the increase in market share of A and decrease of share of B. Determine optimal strategies for both the manufacturers and the value of the game.

2023 Board Question Paper

2023 Board Question Paper