Consider the LPP, Min Z = x + 3y subject to the conditions: $2 x+y ≥ 2,$ $x+2 y ≥ 4,$ $x ≥ 0, y ≥ 0$ Which of the following statement is correct about the feasible region of the above LPP. |
region is bounded in first quadrant region is unbounded in first quadrant region is bounded in second quadrant region is unbounded in second quadrant |
region is unbounded in first quadrant |
The correct answer is Option (2) → region is unbounded in first quadrant $2 x+y ≥ 2⇒x+\frac{y}{2}≥1$ $x+2 y ≥ 4⇒\frac{x}{4}+\frac{y}{2}≥1$ $x,y ≥ 0$ |