The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while 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.
Which of the following is not a feasible production combination?
A)0 L and 0 D
B)0 L and 120 D
C)90 L and 75 D
D)135 L and 0 D
E)135 L and 120 D

Question

Quizplus · Accepted Answer

Option E (135 L and 120 D) is not feasible because producing 135 kegs of Lite beer would require 270 minutes and 675 gallons of malt extract, leaving no resources for Dark beer production. Producing 120 kegs of Dark beer would require 480 minutes and 360 gallons of malt extract, which exceeds both the time and malt extract availability when combined with the Lite beer production.

The Operations Manager for the Blue Moon Brewing Co