Problem $2\mathrm{.}0(25$ Points$)$ Each of two alternatives $(x$ or $Y)$ will last $18$ years, and the interest rate is $6\%.$ Alternative $x$ has Construction Cost of $$350,000,$ and annual maintenance cost of $$25,000.$ Alternative $Y$ has Construction Cost of $$520,000,$ and annual maintenance cost of $$10,000.$ Use present worth analysis to determine which alternative should be selected.