A proposal has been made to purchase a small computer system for $$50000.$ The computer has a

probable life of eight years with no disposal value. Monthly operating expenses $($at the end of each

month$)$ are $$900,$ and an end$-$of$-$year maintenance will cost $$1000$ every year.

Using an interest rate of $12\%,$ compounded annually, find the present value of this proposal.