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 & 0 D
B)0 L & 120 D
C)90 L & 75 D
D)135 L & 0 D
E)135 L & 120 D

Question

Quizplus · Accepted Answer

E) 135 L & 120 D is not feasible because producing 135 kegs of Lite beer would require 270 minutes and 675 gallons of malt extract, leaving no malt extract for Dark beer. Producing 120 kegs of Dark beer would require 480 minutes and 360 gallons of malt extract, exceeding both the time and malt extract available after producing 135 kegs of Lite beer.

The Operations Manager for the Blue Moon Brewing Co