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2003 Course Operations Research & Management

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Total No. of Questions : 6] P1591 [Total No. of Pages : 7 [3764]-191 B.E. (Prod/SW) OPERATIONS RESEARCH & MANAGEMENT (411126) (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to the two sections should be written in separate answer books. 2) Figures (in bracket) to the right indicate full marks. 3) Assume suitable data, if necessary & state it clearly. 4) All units are compulsory. 5) Use of pocket calculator, log tables, stats tables, graph paper is allowed. SECTION - I Unit - I Q1) a) Given - Minimize Zy = 30y1 + 36y2 + 20y3 S.t. 5y1 + 3y2 + 2y3 10 b) c) d) e) f) a) b) 3y1 + 6y2 + 5y3 20 & y1, y2, y3 0 Write the dual form of above problem. [2] Solve this dual by Simplex Method. [8] Write also values of primal variables from above final simplex table.[2] What is the advantage of solving dual of above original primal problem? [2] In above dual, which is redundant constraint? Why? [2] For the above dual, do the RHS ranging for the first constraint. [2] OR Explain in brief the Methodology of OR. [6] A dairy firm has two milk plants with daily milk production of 6 million litres & 9 million litres respectively. Each day the firm must fulfil the needs of its three distribution centres which have milk requirement of 7, 5,& 3 million litres. Cost of shipping one million litres of milk from each plant to each distribution centre is given, in hundreds of rupees below. Formulate only the L.P. model to minimize the transportation cost, having only two variables. [7] P.T.O.

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