2 a. Explain the steps involved in linear programming problem formulation. Discuss inbrief the advantages of linear programming. b. Alpha Limited produces & sells two different products under the brand names black& white. The profit per unit on these products in Rs. 50 &Rs. 40 respectively. Both theproducts employ the same manufacturing process which has a fixed total capacity of50,000 man-hours. As per the estimates of the marketing research department ofAlpha Limited, there is a market demand for maximum 8,000 units of Black & 10,000units of white. Subject to the overall demand, the products can be sold in any possiblecombination. If it takes 3 hours to produce one unit of black & 2 hours to produce oneunit of white, formulate the model of linear programming. [Steps involved in LPP-4 Advantages of LPP-3 Formulation of LPP-3]
Answer: a) The procedure for mathematical formulation of a linear programming problem consists of the following major steps:
- Study the given situation to find the key decisions to be made
- Identify the variables involved and designate them by symbols xj(j=1,2….)
- State