Answer
2013
Work Step by Step
The minimum or maximum value of a function is the y-value of the vertex. The x-value of the vertex is $-b/2a$.
$f(x)=-.072x^2+1.93x+173.9$
$a=-.072$, $b=1.93$, $c=173.9$
$x=-b/2a$
$x=-1.93/2*-.072$
$x=-1.93/-.144$
$x=13.402$
$x=13$
$2000+13=2013$