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2003 Course Operations Research & Management

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Total No. of Questions : 6] [Total No. of Pages : 6 [3864]-191 P1354 B.E. (Prod./SW) OPERATIONS RESEARCH & MANAGEMENT (2003 Course) (411126) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Answers to the two sections should be written in separate books. 2) Neat diagrams must be drawn wherever necessary. 3) Figures to the right indicate full marks. 4) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 5) Assume suitable data, if necessary & state it clearly. 6) All questions are compulsory. SECTION - I Q1) a) Solve the following L.P.P. by Simplex method. [11] Max. Z = 3x1 + 5x2, s.t. x1 4, 2x2 12, 3x1 + 2x2 18 & x1, x2 0. b) Form the dual of above & write values of dual decision variables from primal final table. [5] c) Do the RHS ranging for 3rd constraint of primal. [2] OR a) Mathematics of OR is mathematics of optimization - Explain. [3] b) Explain Big-M method of solving L.P.P. [6] c) Explain sensitivity analysis in L.P.P. w.r.t. addition of new variable. [2] d) Define the following w.r.t. L.P.P. i) Feasible region ii) [4] Redundant constraint iii) Degenerate solution iv) Slack variable e) Sketch the graphical solution for alternate & unbounded solution. [3] P.T.O.

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