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.
When the LPP is formulated from the passage, which of the following is the objective function of its dual problem?
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Correct answer: B. Min P = 8u + 10v + 15w
Explanation
The primal is Max 30x + 50y with resource limits 8 (red), 10 (green), 15 (blue). The dual minimises 8u + 10v + 15w.More Discrete Structures and Optimization questions
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