Solve the Problem $S ( p ) = 10 + 0.002 p ^ { 3 }$

Multiple Choice

Solve the problem.
-The Cool Company determines that the supply function for its basic air conditioning unit is $S ( p ) = 10 + 0.002 p ^ { 3 }$ and that its demand function is $D ( p ) = 50 - 0.04 p ^ { 2 }$ , where $p$ is the price. Determine the price for which the supply equals the demand.

A) $\$ 21.36$
B) $\$ 22.36$
C) $\$ 21.86$
D) $\$ 22.86$