Solve the Problem $S ( p ) = 200 - 2 p + 0.00001 p ^ { 4 }$

Multiple Choice

Solve the problem.
-Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows:
$S ( p ) = 200 - 2 p + 0.00001 p ^ { 4 }$ and $D ( p ) = 1400 - 0.0006 p ^ { 3 }$ , where $p$ is the price. Determine the price for which the supply equals the demand.

A) $\$ 96.24$
B) $\$ 100.24$
C) $\$ 93.24$
D) $\$ 99.24$