What is the optimal solution for the following problem?

Minimize

P = 3x + 15y

subject to

2x + 4y ? 12

5x + 2y ? 10

and

x ? 0, y ? 0.

(x, y) = (2, 0)

(x, y) = (0, 3)

(x, y) = (0, 0)

(x, y) = (1, 2.5)

(x, y) = (6, 0)