The cash flows associated with a project can be represented by the following decision tree

$($conditional probabilities are in parentheses$)$:

What is the expected NPV for this project if the appropriate cost of capital is $10$ percent?

$$542\mathrm{.}48$

$$594\mathrm{.}74$

$$510\mathrm{.}77$

$$486\mathrm{.}82$

$$576\mathrm{.}93$