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.

1. How much does Fine
Coffees Inc. need to
produce to make maximum
profits?

2. Formulate the problem
(Objective function and
the constraints on resources)