The co-ordinates of the point for minimum value of z = 7x - 8y subject to the conditions x +y - 20 ≤ 0, y ≤ 5 , x ≥ 0, y ≥ 0 is

Question

The co-ordinates of the point for minimum value of z = 7x - 8y subject to the conditions x +y - 20 ≤ 0, y ≤ 5 , x ≥ 0, y ≥ 0 is (A) (20, 0) (B) (15, 5) (C) (0, 5) (D) (0, 20)

Tardigrade Admin · Accepted Answer

Obviously, z = 7x - 8y will be minimum at (0,20) ∴ Min z = 7 × 0 - 8 × 20 = - 160

Q. The co-ordinates of the point for minimum value of $z = 7 x - 8 y$ subject to the conditions $x + y - 20 \leq 0, y \leq 5, x \geq 0, y \geq 0$ is

(20, 0)

(15, 5)

(0, 5)

(0, 20)

Obviously, $z = 7 x - 8 y$ will be minimum at (0,20)
$∴$ Min $z = 7 \times 0 - 8 \times 20 = - 160$

Q. The co-ordinates of the point for minimum value of z=7x−8y subject to the conditions x+y−20≤0,y≤5,x≥0,y≥0 is