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.
If x unit lengths of type A and y unit lengths of type B cloth are produced, the constraints of the LPP are:
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: B. y ≤ 7.5, 2x + 3y ≤ 8, 3x + 2y ≤ 10
Explanation
Red: 2x + 3y ≤ 8; green: 3x + 2y ≤ 10; blue: 2y ≤ 15, i.e. y ≤ 7.5 (with x, y ≥ 0).More Discrete Structures and Optimization questions
- On the basis of the available material, the maximum total income is:
- Which of the following is NOT logically equivalent to P → Q?
- Seven people enter a lift. The lift stops at only three (unspecified) floors. At each of the three floors no one enters, but at least one p…
- The coefficient of x²y³z² in the expansion of (x + y + z)⁷ is
- What is the minimum number of students in a discrete mathematics class to be sure that at least six will receive the same grade, if there a…
- Consider the following statements: A. A group can have zero elements. B. A group cannot have any idempotent element except the identity ele…