The one machine at Stout Manufacturing was severely overloaded last year. The plant operates $8$ hours per day, five days per week, and $50$ weeks per year. Management prefers a capacity cushion of $12\%.$ Two major types of products are routed through the milling machine. Based on the data below, what is the number of NEW machines required if Stout want to meet demand and maintain the capacity cushion $($enter number rounded to $2$ decimal places, do NOT round to whole machine because this is a dynamic problem$)?$

$\backslash$table$[[,$Product A$,$Product B$],[$Annual demand,$3000,2000],[$Processing time $($hours$/$unit$),2\mathrm{.}6,2],[$batch size,$20,40],[$setup time $($hours$),7,8]]$