Hello! Question for Quantitative Techniques in Business, please explain and with a graph to further my understanding in the topic. Thank you!

What is the optimal solution for the following problem?

Maximize P = 3x + 15y

subject to 2x + 4y 12

5x + 2y 10

and x 0, y 0.

A) (x, y) = (2, 0)

B) (x, y) = (0, 3)

C) (x, y) = (0, 0)

D) (x, y) = (1, 5)

E) None of the answer choices are correct.