The production planner for Fine Coffees, Inc. produces two coffee blends: American $($A$)$ and British $($B$).$ She can only get $300$ pounds of Colombian and $200$ pounds of Dominican beans per week. Each pound of American blend coffee requires $12$ ounces of Columbian beans and $4$ ounces of Dominican beans, while a pound of British blend uses $8$ ounces of each type of bean. Profits for the American blend are $$2\mathrm{.}00$ per pound, and profits for the British blend are $$1\mathrm{.}00$ per pound. The goal of Fine Coffees, Inc. is to maximize profits.$[14$ points$]$

What is the constraint for Columbian beans?

What is the constraint for Dominican beans?