Machine A which is a basic model costs $$25,000$ and lasts $5$ years. At the end of the $5$ years it has a salvage value of $$1,500$ and its market value at the end of $3$ years is $$7,000.$ An enhanced model, Machine B sells for $$36,000$ and has a life of $8$ years with a salvage value of $$8,500.$ The benefit that these two machines are anticipated to provide is $$9,500$ per year, indefinitely. Looking at an $8-$year window with a rate of $10\%$ APR compounded yearly, what is the difference between the net present worth of Machine B over Machine A$?($Hint: the second copy of Machine A can be sold at the end of the $8$th year for the price that it will command after a $3-$year life.$)$

$$11,565$

$$8,428$

$$4,291$

$$2,940$