1. A machine produces toys at a rate dependent on the machine’s temperature. The more extreme the temperature of the machine, the less productive it is.

The productivity of the machine is measured by

$P(T)=0.02T(5-T)(T-60)5\leqT\leq60$

where $P$ is the number of toys produced per hour and $T^{\circ}C$ is the temperature of the machine.

Find the number of toys produced per hour when the temperature of the machine is $36^{\circ}C$.