The production planner for fine coffees, inc. produces two coffee blends: american (a) and british (b). he can only get 300 pounds of colombian beans per week and 200 pounds of dominican beans per week. each pound of american blend coffee requires 12 ounces of colombian beans and 4 ounces of dominican beans, while a pound of british blend coffee uses 8 ounces of each type of bean. profits for the american blend are $2.00 per pound, and profits for the british blend are $1.00 per pound. the goal of fine coffees, inc. is to maximize profits. what is the objective function?