Bloomington Brewery produces beer and ale. Beer sells for $5 per barrel, and ale
ID: 434123 • Letter: B
Question
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.Explanation / Answer
The constraints should be
The constraints are wrongly defined as corn and hops are mixed.
It should be:
5B + 3A <= 60 As Corn for Beer & Ale are added
2B + 1A <= 25 As Hops for Beer & Ale are added
The constraints mentioned are wrong, hence the correct option is c. The constraints for the material usage are 5B + 2A ? 60 and 3B + 1A ? 25.
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