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2003 Course Operations Research

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Total No. of Questions : 12] P1323 [Total No. of Pages : 4 [3764]-174 B.E. (Production) OPERATIONS RESEARCH (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidate: 1) Solve one question from every unit in each section. 2) Answers to the two sections should be written in separate answer books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Use of electronic pocket calculators is allowed. 6) Assume suitable data, if necessary. Q1) a) b) SECTION - I UNIT - I How do you recognise that an LP problem is unbounded while using the simplex method? [6] The Handy-Dandy company wishes to schedule the production of a kitchen appliance that requires two resources - labor and material. The company is considering three different models and its production engineering department has furnished the following data: Model A B C Labor (Hrs. per unit) 7 3 6 Material (Kgs per unit) 4 4 5 Profit (Rs. per unit) 4 2 3 The supply of raw material is restricted to 200 Kgs/day. The daily availability of labor is 150 Hrs. Formulate a linear programming model to determine maximum profit. [10] OR Q2) a) What are artificial variables? Why do you need them? How do they differ from slack/surplus variables? [6] P.T.O. 1

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