For the next three years, a project is expected to generate $$18,000$ a year in cash expenses and $$57,000$ a year in cash revenues $($nominal dollars$).$ Revenues of $$7,000$ per year are expected to be lost from a preexisting project, but there will be cash expense savings from that old project of $$3,500$ per year. If the nominal interest rate is $12\mathrm{.}8$ percent and inflation is $2\mathrm{.}3$ percent, what is the NPV of the project$$s free cash flows?

Select answer from the options below

$$35,500$

$$135,044$

$$84,106$

$$106,500$