A company is considering the purchase of a new air$-$handling system that will have no effect on revenues but will save $$50,000$ in energy costs each year it is used. The system costs $$120,000$ and will be depreciated on a straight$-$line basis to $$0$ over $4$ years. The system can be sold after six years for $$35,000.$ If the Tax Rate is $20\%$ and the opportunity cost of capital is $10\%,$ what is the project$$s Net Present Value $($rounded to the nearest dollar$)?$

Multiple Choice

$$87,355$

None of the answers here is correct.

$$86,134$

$$89,757$

$$77,158$