(a) An investment company wants to study the investment projects based on market demand, profit and...

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(a) An investment company wants to study the investment projects based on market demand, profit and the investment required, which are independent of each other. Following Probability distribution are estimated for each of these 3 factors: Annual demand ('000 units) Probability Profit per unit Probability 25 30 35 40 0.05 0.10 45 50 0.20 0.30 0.20 0.10 3 5 7 9 10 0.10 0.20 0.40 0.20 0.10 55 0.05 Investment required ('000) 2,750 3,000 3,500 Probability 0.25 0.50 0.25 Using Simulation Process, repeat the trial 10 times. Compute the investment on each trial, taking these factors into trial. What is the most likely return? Use the following random nos.: (30,12,16), (59,09,69), (63,94,26), (27,08,74), (64,60,61) (28,28,72), (31,23,57), (54,85,20), (64,68,18), (32,31,87) In the bracket above, the 1st random no. is for annual demand, the 2nd one is for Profit and the last one is for the investment required. 8 (b) A firm produces 3 types of products A, B and C. The profit on I unit of type A, B and C are 3, 2 and 4 respectively. A firm has 2 m/c s and below is given the required processing time in minutes for each m/c on each product: M/C G H A 4 3 Products B 3 3 5 5 The M/C s G and H are available for not more than 2,000 mins and 2,500 mins respectively. The firm must manufacture 100 A s, 200 B s and 50 C s. Only Formulate a LPP. Do not solve the LPP. 7 (a) An investment company wants to study the investment projects based on market demand, profit and the investment required, which are independent of each other. Following Probability distribution are estimated for each of these 3 factors: Annual demand ('000 units) Probability Profit per unit Probability 25 30 35 40 0.05 0.10 45 50 0.20 0.30 0.20 0.10 3 5 7 9 10 0.10 0.20 0.40 0.20 0.10 55 0.05 Investment required ('000) 2,750 3,000 3,500 Probability 0.25 0.50 0.25 Using Simulation Process, repeat the trial 10 times. Compute the investment on each trial, taking these factors into trial. What is the most likely return? Use the following random nos.: (30,12,16), (59,09,69), (63,94,26), (27,08,74), (64,60,61) (28,28,72), (31,23,57), (54,85,20), (64,68,18), (32,31,87) In the bracket above, the 1st random no. is for annual demand, the 2nd one is for Profit and the last one is for the investment required. 8 (b) A firm produces 3 types of products A, B and C. The profit on I unit of type A, B and C are 3, 2 and 4 respectively. A firm has 2 m/c s and below is given the required processing time in minutes for each m/c on each product: M/C G H A 4 3 Products B 3 3 5 5 The M/C s G and H are available for not more than 2,000 mins and 2,500 mins respectively. The firm must manufacture 100 A s, 200 B s and 50 C s. Only Formulate a LPP. Do not solve the LPP. 7

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