Spectacle's Spectacles, is considering purchasing a new machine which it expects to cut production costs. The company believes that it will save $$10,000$ per year over the next $19$ years, the useful life of the machine. There will be annuat cash expenses of $$1,000$ plus annual depreciation of $$900$ associated with the machine. The company will also have to perform major maintenance on the machine after $5$ years. This will cost $$2,000.$ The machine itself will cost a total of $$50,000.$ At the end of the attraction's useful life it can be scrapped for $$800.$ The company only invests in projects if they have a payback period of $4$ years or less or if they have a required rate of return $($also known as the discount rate$)$ of $7\%.$ Calculate the company's net present value.