MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
The inequalities 3x+4y≤12, x≥0, and y≥0 are considered on the same set of axes.
(i) Draw the boundary line of 3x+4y=12 by finding its intercepts with the coordinate axes.
(ii) Fully shade the region that simultaneously satisfies all three inequalities.
(iii) Determine the coordinates of the vertices of the bounded region obtained in part (ii) and calculate its area.