A firm is considering an investment project with the

following cash flows: Year $0=-$$$100,000($initial

costs$)$; Year $1=$$$40,000$; Year $2=$$$90,000$; and Year $3$

$=$$$30,000.$ The company has a $10\%$ cost of capital.

What is the project's net present value $($NPV$)?$

$$33,283$

$$67,476$

$$74,264$

$$78,496$