XYZ Corporation is looking into buying new equipment for a venture. In total, the equipment costs $$12,000.$ The equipment will be depreciated straight line to a zero book value for the duration of the venture $($the venture will last $3$ years$).$ Furthermore, the project will require $$30,000$ of net working capital. This capital will be recovered at the end of the project. Annual sales are estimated at $$45,000$ while annual costs are estimated at $$32,400.$ The expected salvage value of the equipment is $$12,000.$ The tax rate is $34\%.$

For the answer below, clearly show your work!

a$)$ If the required rate of return is $14\%,$ what is the net present value $($NPV$)$ of this venture?