Comprehension Passage

Answer the following 5 questions based on the passage.

A firm can produce two type of cloth say A and B. Three kind of wool are required for it, say red wool, green wool and blue wool. 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 blue wool. The firm has only a stock of 8 yards of red wool, 10 yards of green wool and 15 yards of blue wool. It is assumed that the income obtained from one unit length of type A and type B cloths are Rs. 30 and Rs. 50, respectively.

When we formulate the LPP from the above given passage. Which of the following is a objective function for its dual problem?

1
Min P = 5u + 8v + 15w
2
Min P = 8u + 10v + 15w
3
Min P = 15u + 5v + 8w
4
Max P = 10u + 8v + 15w

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