Spectacle$$s Spectacles, is considering purchasing a new machine which it expects to cut production costs. The company believes that it will save $$7,000$ per year over the next $13$ years, the useful life of the machine. There will be annual cash expenses of $$2,000$ plus annual depreciation of $$100$ associated with the machine. The company will also have to perform major maintenance on the machine after $6$ years. This will cost $$9,000.$ The machine itself will cost a total of $$24,000.$ At the end of the attraction$$s useful life it can be scrapped for $$100.$ The company only invests in projects if they have a payback period of $3$ years or less or if they have a required rate of return $($also known as the discount rate$)$ of $8\%.$ Calculate the company's net present value.