The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L) and Dark (D). He can only get 675 gallons of malt extract per day for brewing and his brewing hours are limited to 8 hours per day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract. Each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg and profits for Dark beer are $2.00 per keg. The brewery's goal is to maximize profits.
What is the daily profit when producing the optimal amounts?
A) $0.
B) $240.
C) $420.
D) $405.
E) $505.

Question

Quizplus · Accepted Answer

The optimal solution is to produce 135 kegs of Lite beer and 90 kegs of Dark beer, which maximizes the profit to $420. This is calculated by solving the linear programming problem with constraints on malt extract and brewing time.

The Operations Manager for the Blue Moon Brewing Co