Practicing Success
The feasible region for the constrains $x ≥ 0, x+y ≤ 1$ and $x-y ≤ 1$, is situated in : (A) I and II Quadrant Choose the correct answer from the options given below : |
(A) Only (B) and (D) Only (B) and (C) Only (E) Only |
(B) and (D) Only |
x ≥ 0 ⇒ solution is above y-axis → possibly in I or IV quadrant Plotting x - y = 1
x + y = 1
Checking O(0, 0) for x - y ≤ 1 ⇒ 0 ≤ 1 → solution lies to side containing O(0, 0) for x + y ≤ 1 ⇒ 0 ≤ 1 → solution lies to side containing O(0, 0) ⇒ Solution region in 1st and 4th quadrant |