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Unit 1 · Discrete Structures and Optimisation Paper 2 CS · June 2024 (Cancelled Exam)

Directions (Q91–95): A firm can produce two types of cloth, A and B. Three kinds of wool are required: red, green and blue. One unit length of type A cloth needs 2 yards of red and 3 yards of green wool. One unit length of type B cloth needs 3 yards of red wool, 2 yards of green wool and 2 yards of blue wool. The firm has a stock of only 8 yards of red wool, 10 yards of green wool and 15 yards of blue wool. The income from one unit length of type A and type B cloth is ₹30 and ₹50 respectively. Let x and y be the unit lengths of type A and type B cloth produced.

Which of the following is the appropriate objective function for the given problem?

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Correct answer: C. 30x + 50y

Explanation

Maximise income Z = 30x + 50y.

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