The inequalities describing a region in the plane are aligned 3x+2y & 18, 2x+y & 4, 0 x 5

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

The inequalities describing a region in the plane are 3x+2y≤18,2x+y≥4,0≤x≤5,y≥0.\begin{aligned} 3x+2y &\le 18,\\ 2x+y &\ge 4,\\ 0 \le x \le 5,\\ y &\ge 0. \end{aligned} (a) Draw the graph of all the above inequalities on the same coordinate axes and clearly indicate the feasible region. (b) Find the coordinates of every vertex of the feasible region. (c) Calculate the exact area of the feasible region, showing all working.

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