Q$3$

An industrial engineer is considering two robots for purchase by a fiber$-$optic manufacturing company. Robot $x$ will have a first cost of $$80,000,$ an annual maintenance and operation $($M&O$)$ cost of $$30,000,$ and a $$40,000$ salvage value. Robot $Y$ will have a first cost of $$97,000,$ an annual $M$&$O$ cost of $$27,000,$ and a $$50,000$ salvage value. Which should be selected on the basis of a future worth comparison at an interest rate of $15\%$ per year? Use a $3-$year study period.