A car manufacturer is considering the purchase of an industrial robot for assembling cars. An employee who does the same tasks as the robot would do costs the company $$60,000$ in wages and benefits this year. Those costs are expected to increase by $5\%$ annually over the next $10$ years. A robot would cost $$150,000,$ which includes initial purchase, installation, and training costs. The robot would cost $$25,000$ to operate in its first year, and costs are expected to increase by $$2,000$ each year. The company expects to be able to sell the robot at the end of $10$ years for a salvage value of $$10,000.$ If the company can earn $5\%$ on its funds, then should the company purchase the robot? Of course, use calculations to justify your answer.