Birmingham Bolt, Inc., has been approached by one of its customers about producing $800,000$ special$-$purpose parts for a new home product. The customer wants $100,000$ parts per year for eight years. To provide these parts, Birmingham would need to acquire a $$500,000$ new production machine. The new machine would have no salvage value at the end of its eight$-$year life.

The customer has offered to pay Birmingham $$7\mathrm{.}50$ per unit for the parts. Birmingham$$s managers have estimated that, in addition to the new machine, the company would incur the following costs to produce each part:

Direct labor $$2\mathrm{.}00$

Direct material $2\mathrm{.}50$

Variable overhead $2\mathrm{.}00$

Total $$6\mathrm{.}50$

In addition, annual fixed out$-$of$-$pocket costs related to the production of these parts would be $$20,000.$

a$.$ Compute the net present value of the machine investment, assuming that the company uses a discount rate of $9$ percent to evaluate capital projects.

Note: Round your final answer to the nearest whole dollar.