Bloomington Brewery produces beer and ale. Beer sells for $5 per
barrel, and ale sells for $2 per barrel. Producing a barrel of beer
requires 5 pounds of corn and 2 pounds of hops. Producing a barrel
of ale requires 3 pounds of corn and 1 pound of hops. The brewery
has 60 pounds of corn and 25 pounds of hops and wants to plan its
production. Which statement about the mathematical formulation of
this LP problem is false?
Decision variables are the number of barrels of beer (B) and the
number of barrels of ale (A) to be produced.
The objective function is to maximize the total revenue = 5B +
2A.
The constraints for the material usage are 5B + 2A ≤ 60 and 3B +
1A ≤ 25.
Decision variables need to be nonnegative: A ≥ 0 and B ≥ 0, with
A and B as integers.
This is a product mix problem.