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 B5, find the optimum assignment of products on these set ups resulting in the minimum cost.
3. What is goal programming? State clearly its assumptions. Identify the major differences between linear programming & goal programming.
4. A company has determined from its analysis of production and accounting data that, for a part number KC-438, the annual demand is equal to 10,000 units, the cost to purchase the item is Rs 36 per order, and the holding cost is Rs 2/unit/year.
(a) What should the economic order quantity be?
(b) What is the number of days’ supply per optimum order? (Assume 300 working days in a year)
5. “Game theory provides a systematic quantitative approach for analyzing competitive situations in which the competitors make use of logical process and techniques in order to determine an optimal strategy for winning”. Comment.
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