PS$\mathrm{.}52$ The Station, a boutique cookie company, needs to create a production process for its new cinnamon malt ball cookies. To help accomplish this, the company has put together some numbers for production costs $($per dozen cookies for the variable costs$).$

Process Type Fixed Costs Labor Costs Material Costs

Pre$-$Bake $$240$ $$1\mathrm{.}89$ $$0\mathrm{.}66$

Easy Bake $$545$ $$1\mathrm{.}42$ $$0\mathrm{.}52$

Speed Bake $$830$ $$1\mathrm{.}33$ $$0\mathrm{.}52$

The Station estimates demand for the semester will be $785$ dozen cinnamon malt ball cookies. Due to the cookies' expected popularity the selling price will be $$5\mathrm{.}10$ per dozen