The constraints of a problem are listed. What are the vertices of the feasible region? 4 x plus 3 y is less than or equal to 12 2 x plus 6 y is less 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 constraints give y ≤ 4 and y ≤ 2.5; the boundary vertex is (0, 2.5). On the x-axis, y = 0, so x ≤ 3 and x ≤ 7.5; the boundary vertex is (3, 0). The two boundary lines intersect at (1.5, 2), and the feasible region also includes the origin. Thus its vertices are (0, 0), (0, 2.5), (1.5, 2), and (3, 0), which is choice D.

AI-written and checked against the verified answer.