Answer
$P(t)=-1.1t^2+12.2t+87$
Work Step by Step
We are given the functions:
$C(t)=254-9t+1.1t^2$
$R(t)=341+3.2t$
Determine a function $P$ that represents the annual profit:
$P(t)=R(t)-C(t)$
$=(341+3.2t)-(254-9t+1.1t^2)$
$=341+3.2t-254+9t-1.1t^2$
$=-1.1t^2+12.2t+87$
