The Fabulous 50s Decor Company Is the Only Producer of Pink

The Fabulous 50s Decor Company is the only producer of pink flamingo lawn statues. While business is not as good as it used to be, in recent times the annual demand has been Q = 400 - 6P. Flamingo lawn statues are handcrafted by artisans using the process Q = min{L, } where L is hours of labor and P is pounds of pink plastic. P_L = 15 and P_P = 3. What would be the profit-maximizing output and price?

A) Q = 179 and P = 36.83.
B) Q = 192.25 and P = 34.63.
C) Q = 199.42 and P = 33.43.
D) Q = 101 and P = 49.83.
E) Q = 202 and P = 33.