Suppose that a company expects its annual profits $t$ years from now to be $f(t)$ dollars and that interest is considered to be compounded continuously at an annual rate $r$. Then the present value of all future profits can be shown to be $$FP = \displaystyle\int_{0}^{\infty} e^{-rt}f(t) \hbox{d}t$$ Find $FP$ if $r =0.08$ and $f(t) = 100,000 + 1000t$.

The present value is dollars.