The costs to manufacture a part using methods A and $B$ are estimated by $C_A=20+0\mathrm{.}8P$ and $C_B=52+0\mathrm{.}8P-0\mathrm{.}005P^2,$

respectively, where the cost $C$ is in dollars and $P$ is the number of parts. Estimate the breakeven point.

The breakeven point occurs at $P=$

parts.