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Operation Research (Elective I) (April 2010)

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Total No. of Questions : 6] [Total No. of Pages : 4 P1312 [3764]-139 B.E. (Mechanical) OPERATION RESEARCH (402045) (2003 Course) (Sem. - I) (Elective - I) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) 2) Answers to the two sections should be written in separate books. Figures to the right indicate full marks. 3) Use of calculator is allowed. 4) Assume suitable data, if necessary. SECTION - I Q1) Two animal feeds A and B are available in the market. One kg of A contains 0.1 kg of x1, 0.1 kg of x3 and 0.2 kg of x4 and 1 kg of B contains 0.1 kg of x2, 0.2 kg of x3 and 0.1 kg of x4 (x1, x2, x3, x4 are different ingredients). A feed mixing operation can be described in terms of two activities. The daily per head requirement is of at least 0.4 kg of x1, 0.6 kg of x2, 2.0 kg of x3 and 1.8 kg of x4. Feed A can be bought for Rs. 0.07 per kg and feed B for Rs. 0.05 per kg. The availabilities, requirements and costs are summarised in the following table : Ingredient A (kg) B (kg) Requirement (kg) x1 0.1 0 0.4 x2 0 0.1 0.6 x3 0.1 0.2 2.0 x4 0.2 0.1 1.8 Cost Rs. 0.07/kg, Rs. 0.05/kg. Determine the quantities of feeds A and feed B in mixture so that the total cost is minimum. [16] OR P.T.O.

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Additional Info : 2003 Course
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