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2003 Course Operations Research

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Total No. of Questions : 12] [Total No. of Pages : 5 [3664] - 156 P937 B.E. PRODUCTION OPERATIONS RESEARCH (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Solve one question from every unit in each section. 2) Answers to the two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Use of logarithmic tables, electronic pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I UNIT - I Q1) a) b) What is the significance of duality theory in L.P.P.? Dual of a dual is primal . Explain in brief. [6] Find the optimal solution by simplex method. Minimize z = x2 + 3x3 + 2x5 Subject to 3x2 x3 + 2x5 7 [10] 2x2 + 4x3 12 i) ii) 4x2 + 3x3 + 8x5 10 x2, x3, x5 0 Formulate the dual problem of the primal and solve by simplex method for values of dual variables. Write the values of the primal variables. OR Q2) a) b) What do you understand by the term sensitivity analysis? Discuss briefly the effect of variation of cost coefficients. [6] A firm produces three items A, B and C and requires two types of resources - man hours and raw material as given below in the table. Determine the optimum production schedule that maximizes profit. P.T.O.

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