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.
For the production combination of 135 Lite and 0 Dark, which resource is slack (not fully used)?
A)time (only)
B)malt extract (only)
C)both time and malt extract
D)neither time nor malt extract
E)cannot be determined exactly

Question

Quizplus · Accepted Answer

For 135 Lite beers, the time used is 135 kegs * 2 minutes/keg = 270 minutes, and the malt extract used is 135 kegs * 5 gallons/keg = 675 gallons. Since the time used (270 minutes) is less than the available time (480 minutes), time is slack. Malt extract is exactly used up (675 gallons), so it is not slack.

The Operations Manager for the Blue Moon Brewing Co