For some positive constant $C$, a patient's temperature change, $T$, due to a dose, $D$, of a drug is given by $T = \left(\frac{C}{2} - \frac{D}{3}\right)D^2.$

What dosage maximizes the temperature change?
$D =$

The sensitivity of the body to the drug is defined as $dT/dD$. What dosage maximizes sensitivity?
$D =$