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Systems Approach in Civil Engineering (Elective I) (October 2009)

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Total No. of Questions : 12] P1149 [Total No. of Pages : 5 [3664]-106 B.E. (Civil) SYSTEMS APPROACH IN CIVIL ENGINEERING (2003 Course & 1997 Course) (Elective - I) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) 2) 3) 4) 5) 6) Answer three questions from Section I and three questions from Section II. Answers to the two sections should be written in separate books. Neat diagrams must be drawn wherever necessary. Figures to the right indicate full marks. Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. Assume suitable data, if necessary. SECTION - I Q1) a) Minimize Z = x1 + 2x2 + 3x3 Subject to x1 x2 + x3 4 x1 + x2 + 2x3 8 x2 x3 2 x1, x2, x3 0 Use Big M Method. [12] b) Explain the principle of Big M Method. How does it affect the value of the objective function? [4] OR Q2) a) Solve the problem in Q1 (a) above by Two Phase Method. b) Explain with suitable sketches. i) Unbounded solution in L.P. ii) Infeasible solution in L.P. [12] [4] Q3) In a regional rural water supply scheme, water is to be supplied from three sources to four different villages. The quantity of water available at each source and that required by each village and the unit cost of transport are given in the following table [18] a) Find the Initial Feasible solution by i) N-W Corner Method. ii) VAM. P.T.O.

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Additional Info : 2003 & 1997 Course
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