Consider the following boundaries in the first quadrant
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Consider the following boundaries in the first quadrant.
• L1:2x+3y=12 is drawn as a solid line; the region of interest lies on or above this line.
• L2:y=x is drawn as a dashed line; the region of interest lies strictly below this line.
• The coordinate axes form the other boundaries.
Answer the following questions.
(i) Write the linear inequality corresponding to each line L1 and L2, taking proper account of whether the boundary is included or excluded.
(ii) Sketch the feasible region satisfying all the constraints and clearly mark its corner points.
(iii) Verify whether the point (3,2) belongs to the feasible region and justify your conclusion.