Multiple$-$Product Break$-$even

Andrews Sporting Goods, Inc., produces and sells children's softball mitts: vinyl mitts and basic leather mitts. Last year, Andrews sold $9,000$ vinyl mitts and $4,500$ leather mitts. Information on the two products is as follows:

$\backslash$table$[[,$Vinyl Mitts,Leather Mitts$],[$Price$,$$$7\mathrm{.}70,$$$24\mathrm{.}70$