Lpp Graphical Method

We are given the system of inequalities:
1.
2.
3.
4. We need to sketch the feasible region by first plotting the boundary lines and then shading the region satisfying all the inequalities. Step 1: Plot the lines 1. represents a line where the x-intercept is 2 (when ) and the y-intercept is 2 (when ). The region satisfying lies above this line.
2. represents a line with the x-intercept 3 (when ) and the y-intercept 2 (when ). The region satisfying lies below this line. Step 2: Consider the restrictions and
The feasible region is constrained to the first quadrant (where both and ). Step 3: Shade the feasible region To satisfy all inequalities, shade the area where all conditions overlap. This region is represented in Option (B). Thus, the correct answer is Option (B).