The maximum value of P = x + 3y such that 2x + y ≤ 20 , x + 2y ≤ 20 , x ≥ 0 , y ≥ 0 , is

Question

The maximum value of P = x + 3y such that 2x + y ≤ 20 , x + 2y ≤ 20 , x ≥ 0 , y ≥ 0 , is (A) 10 (B) 60 (C) 30 (D) None of these

Tardigrade Admin · Accepted Answer

Obviously, P = x + 3y will be maximum at (0, 10). ∴ : P = 0 + 3 × 10 = 30 .

Q. The maximum value of $P = x + 3 y$ such that $2 x + y \leq 20, x + 2 y \leq 20, x \geq 0, y \geq 0,$ is