1. a) What is Operations Research (OR)? What are the Characteristics of OR? b) What are the Types of Decision Models used for Decision Making in Operations Research? c) Why is Operations Research considered important in Management today? What are the various fields of business/industry/Government/social sector where Operations Research is used today? 2. a) What is Linear Programming? What are the Assumptions in Linear Programming? b) Explain step‐wise how the Mathematical formulation of a Linear Programming problem is done. What are the Advantages and Limitations of Linear Programming? c) A company sells two different products A and B. The company makes a profit of Rs.40 and Rs.30 per unit on products A and B respectively. The two are produced in a common production process and are sold in two different markets. The production process has a capacity of 30,000 man‐hours. It takes 3 hours to produce one unit of A and one hour to produce one unit of B. The market has been surveyed, and company officials feel that the maximum number of units of A that can be sold is 8,000 and those of B is 12,000 units. Subject to these limitations, the products can be sold in any convex combination. Formulate the above problem as an L.P.P. and solve it by graphical method. 3. a) What is a Transportation Matrix? Draw a sample illustration of the same. b) Explain step‐wise what is the Least Cost Method for solving Transportation problems. c) Solve the following transportation problem by North West Corner Method (NWCM) Origin O1 O2 O3 Demand D1 2 4 3 75 Destination D2 6 10 7 125 D3 4 12 5 40 D4 8 6 9 60 300 Supply 120 60 120 300
OPERATION RESEARCH & QUANTITATIVE TECHNIQUES
4. a) b) ...