Directions (Q91–95): A firm produces two types of cloth, A and B, using red, green and blue wool. One unit length of type A needs 2 yards of red and 3 yards of green wool. One unit length of type B needs 3 yards of red, 2 yards of green and 2 yards of blue wool. The firm has 8 yards of red, 10 yards of green and 15 yards of blue wool. Income is ₹30 per unit length of type A and ₹50 per unit length of type B.
If x unit length of type A cloths and y unit length of type B cloths, then contrains formulate for the LPP, is :
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 (plus x, y ≥ 0).
More Discrete Structures and Optimization questions
- On the basis of available material, maximum total income is :
- If the universe of discourse is all real numbers, which of the following are true? (A) ∃x∀y (x + y = y) (B) ∀x∀y (((x ≥ 0) ∧ (y < 0)) → (x…
- If the universe of discourse is the set of integers, which of the following are TRUE? (A) ∀n∃m (n² < m) (B) ∃n∀m (n < m²) (C) ∃n∀m (nm = m)…
- Let N² = N × N, where N is the set of natural numbers, and let R be the relation on N² with ⟨x, y⟩ R ⟨u, v⟩ ⇔ xv = yu. Which of the followi…
- Which of the following are tautology? → → → → (A) (P (P Q)) (P Q) → → → ∨ (B) ((P Q) Q) (P Q) ∨¬ → → ∨¬ → (C) ((P P) Q) ((P P) R) → ∧¬ → →…
- Let P(x) be the statement "x = x²". If the universe of discourse is the integers, which of the following are true? (A) P(0) (B) P(1) (C) P(…