A company is considering the purchase of a new machine that costs $100,000. The machine has an expected useful life of 5 years and no residual value. The company uses the straight-line method of depreciation for all its fixed assets. The company estimates that the machine will generate annual net cash inflows of $30,000 for the first three years, $25,000 for the fourth year, and $20,000 for the fifth year. The company's required rate of return is 10%. Should the company invest in the new machine? Provide a detailed analysis and explanation.