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.
-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 production is determined by maximizing profit under the constraints of malt extract and brewing time. By setting up the linear programming problem and solving it, the optimal solution is to produce 135 kegs of Lite beer and 90 kegs of Dark beer, resulting in a daily profit of $420.

The Operations Manager for the Blue Moon Brewing Co