The constraints of a problem are listed. What are the vertices of the feasible region? 2 x plus 3 y is greater than or equal to 12 5 x plus 2 y is greater than or equal to 15 x is greater than or equal to 0 y is greater than or equal to 0

On the y-axis, x = 0, so the inequalities require y ≥ 4 and y ≥ 15/2; the boundary vertex is (0, 15/2). On the x-axis, y = 0, so they require x ≥ 6 and x ≥ 3; the boundary vertex is (6, 0). Solving 2x + 3y = 12 and 5x + 2y = 15 gives (21/11, 30/11), so the vertices are those listed in choice D.

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