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Operation Research (Elective I) (October 2010)

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Total No. of Questions : 12] [Total No. of Pages : 7 P1037 [3864]-139 B.E. (Mechanical) OPERATION RESEARCH (2003 Course) (Elective - I) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) 2) 3) 4) 5) Answer three questions from section-I and three questions from section-II. Answers to the two sections should be written in separate books. 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) Solve the following Linear Programming problem graphically. Maximize Subjected to [6] Z = 8000 X1 + 7000 X2 3X1 + X2 < 66 X1 + X2 < 45 3X1 < 20, X2 < 40 X1, X2 > 0 b) The ABC printing company is facing a tight financial squeeze and is attempting to cut costs wherever possible. At present it has only one printing contract and the book is selling well in both the hardcover and paperback edition. It has just received a request to print more copies if the book in either hardcover or paperback form. Printing cost of hardcover book is Rs.600 per 100 while for that paperback is only Rs.500 per 100. Although the company is attempting to economize, it does not wish to lay off any employee. Therefore it feels obliged to run its two printing press at least 80 and 60 hours per week respectively. Press I can produce 100 hardcover books in 2 hours or 100 paperback books in 1 hour. Press II can produce 100 hardcover books in 1 hour or 100 paperback books in 2 hours. Determine how many books of each type should be printed in order to minimize costs. [10] OR P.T.O.

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Additional Info : 2003 Course
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