$13.(15$ Points$)$ Data for two industrial production machines a firm is considering purchasing for one of their plants is shown in the following Table. The company expects a return of $\backslash (10\backslash \%\backslash )($MARR$).$ Using the information in Table, determine the following: $($a$)$ how many tons per year need to be produced to justify the purchase of the more expensive machine? $($b$)$ If the company produces $15,000$ tons per year, which machine should the company select to purchase?

Table: Production Machine Data