Suppose that

P $=3\mathrm{.}12$x$2+1\mathrm{.}5$y$20\mathrm{.}08$x$30\mathrm{.}01$y$3$tons

is the production function for a product with x units of one input and y units of a second input. This function has two critical points, the origin $(0,0)$ and one other. The critical point with positive values of x and y yield the maximum production. Find the values of x and y that will maximize production.

x$=$ unitsy$=$ units

What is the maximum production? $($Round your answer to the nearest whole number.$)$

tons