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QUESTION BANK ON OPERATIONS RESEARCH UNIT-1: Basics of operations research

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Saturday, June 26, 2021

Vtu be operations research question papers - www.vtu.ac.in.

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Operations Research - Dec 2016

Mechanical engg. (semester 7).

TOTAL MARKS: 100 TOTAL TIME: 3 HOURS (1) Question 1 is compulsory. (2) Attempt any four from the remaining questions. (3) Assume data wherever required. (4) Figures to the right indicate full marks. 1(a) Briefly explain the scopes of Operation Research. (5 marks) 1(b) A farmer has 100 acre farm. He can sell all tomatoes, lettuce or radishes and can rise the price to obtain Rs 1.00 per kg for tomatoes, Rs 0.75 a head for lettuce and Rs 2.00 per kg for radishes. The average yields per acre is 2000 kgs of tomatoes, 3000 heads of lettuce and 1000 kgs of radishes. Fertilizers are available at Rs 0.50 per kg and the amount required per acre is 100 kgs each for tomatoes and lettuce and 50 kgs for radishes. Labour required for sowing, cultivating and harvesting per acre is 5 man days for tomatoes and radishes and 6 man days for lettuce. A total of 400 man days of labour are available at Rs 20 per man day. Formulate this problem as a linear programming model to maximize the farmer's total profit. (15 marks) 2(a) Write the dual of the following LPP. Minimize Z = 3x 1 -6x 2 +4x 3 Subject to 4x 1 +3x 2 +6x 3 ≥9 1xsub>1+2x 2 +3x 3 ≥6 6x 1 -2x 2 -2x 3 ≤10 x 1 -2x 2 +6x 3 ≥4 2x 1 +5x 2 -3x 3 ≥6 x 1 , x 2 , x 3 ≥0. (5 marks) 2(b) Solve the following Linear Programming problem. Maximize Z = x 1 +2x 2 +3x 3 -x 4 Subject to x 1 +2x 2 +3x 3 =15 2x 1 +x 2 +5x 3 =20 x 1 +2x 2 +x 3 +x 4 =10 x 1 , x 2 , x 3 ,x 4 ≥0. Solve by using Two phase method. (15 marks) 3(a) ABC Limited has three production shops supplying a product to 5 warehouses . The cost of production varies from shop to shop, cost of transportation from shop to shop cost of transportation from shop to warehouses also varies. Each shop has a specific production capacity of each warehouse has certain amount of requirement. The cost of transportation are as given below:

vtu operation research question paper

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  20. Operations Research : Question Paper Dec 2016

    1 Answer 0 88 views written 6.5 years ago by teamques10 ★ 62k Operations Research - Dec 2016 Mechanical Engg. (Semester 7) TOTAL MARKS: 100 TOTAL TIME: 3 HOURS (1) Question 1 is compulsory. (2) Attempt any four from the remaining questions. (3) Assume data wherever required.

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