The corner points of the feasible region of LPP $x+y ≤ 200, y ≥ 4 x, x ≥ 20, x ≥ 0, y ≥ 0$ are :

(A) $(20,180)$
(B) $(40,180)$
(C) $(20,80)$
(D) $(40,80)$
(E) $(40,160)$

Choose the correct answer from the options given below :

(A), (C) and (E) Only

$x \geq 0, y \geq 0$   →   graph lies in first quadrant

first to plot lines y = 4x, x + y = 200, x = 20

y = 4x

x + y = 200

x = 20

for y ≥ 4x

checking for random point (20, 100)

→ 100 ≥ 80

so the side of line at which it lies is solution region

for x + y ≤ 200

checking for (0, 0)

⇒ 0 ≤ 200

hence side at which (0, 0) lies is solution region

at and taking intersection region to get possible region, we get following corner points

(20, 180)   (20, 80)   (40, 160)

A, C and E