Answer
$49$, $3.98$
Work Step by Step
Step 1. Given model as $f(x)=0.0232x^2-2.28x+60$, let $a=0.0232, b=-2.28$, the age of minimum rate will be given by $x=-\frac{b}{2a}=-\frac{-2.28}{2(0.0232)}\approx49$
Step 2. The minimum rate can be found as $f(49)=0.0232(49)^2-2.28(49)+60\approx3.98$