The production planner for fine coffees, inc. produces two coffee blends: american (a) and british (b). two of his resources are constrained:
columbia beans, of which he can get at most 300 pounds (4,800 ounces) per week; and dominican beans, of which he can get at most 200 pounds (3,200 ounces) 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.

what is the objective function?

a. $1 a + $2 b = z

b. $12 a + $8 b = z

c. $2 a + $1 b = z

d. $8 a + $12 b = z

e. $4 a + $8 b = z