1. Enumerate, with brief description, some of the techniques of O.R. Describe the various steps involved in O.R. study. 2. The final product of a firm has a requirement that it must weigh exactly 150 kg. The two raw materials used in the manufacture of this product are A with a cost of Rs. 2 per unit and B with a cost of Rs. 8 per unit. Each unit of A weighs 5 kg. and each unit of B weighs 10 kg. At least 14 units of B and no more than 20 units of A must be used. How much of each type of raw material should be used for each unit of the final product if cost is to be minimized? 3. Discuss … [Read more...]

1. Define Operations Research. Also, give a brief historical background of Operations Research. 2. ABC Company is engaged in manufacturing five brands of packed snacks. It is having five manufacturing set ups, each capable of manufacturing any of its brands one at a time. The cost to make a brand on these set ups vary according to the following table: S1 S2 S3 S4 S5 B1 4 6 7 5 11 B2 7 3 6 9 5 B3 8 5 4 6 9 B4 9 12 7 11 10 B5 7 5 9 8 11 Assuming five set ups are S1 ,S2, S3, S4, and S5 and five brands are B1, B2, B3, B4 and … [Read more...]

1. Solve graphically: Minimize Z=6x1 + 14x2 Subject to 5x1 + 4x2 ≥ 60 3x1 + 7x2 ≤84 x1 + 2x2 ≥ 18 x1, x2 ≥ 0 2. Using the following cost matrix, determine (a) optimal job assignment, and (b) the cost of assignments. Job Mechinist 1 2 3 4 5 A 10 3 3 2 8 B 9 7 8 2 7 C 7 5 6 2 4 D 3 5 8 2 4 E 9 10 9 6 10 3. “In goal programming, we attempt to ‘satisfy’ or come as close as possible to satisfying, the various goals,” Discuss. 4. A wholesaler supplies 30 stuffed dolls each day to various shops. Dolls are purchased … [Read more...]

1. Explain computational aspect of simplex method for solving Linear Programming Problems (LPP). Take a problem and apply M- method for solving the LPP. 2. Five employees of a company are to be assigned to five jobs, which can be done by any of them. The workers get different wages per hour. These are: Rs 5 per hour for A, B, and C each, and Rs 3 per hour for D and E each. The amount of time taken by each employee to do a given job is given in the following table. Determine the assignment pattern that (a) minimizes the total time taken, and (b) minimizes the total cost, of getting … [Read more...]