The inequalities enclose a feasible region in the first quadrant

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

The inequalities x+y≥2,  x≤4,  y≤4,  x≥0,  y≥0x + y \ge 2,\; x \le 4,\; y \le 4,\; x \ge 0,\; y \ge 0 enclose a feasible region in the first quadrant. How many vertices does this region have? (a) 44 (b) 55 (c) 33 (d) 66

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