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.What is the time constraint?
A)2 L + 3 D $\le$480
B)2 L + 4 D$\le$ 480
C)3 L + 2 D $\le$ 480
D)4 L + 2 D$\le$480
E)5 L + 3 D $\le$ 480

Question

Quizplus · Accepted Answer

The time constraint is the limited production time of 8 hours or 480 minutes per day. Each keg of Lite beer requires 2 minutes of time, and each keg of Dark beer requires 4 minutes of time. Therefore, the time constraint can be expressed as 2L + 4D ≤ 480. This is option B.

The Operations Manager for the Blue Moon Brewing Co ≤\le≤ 480 B)2 L + 4 D

The Operations Manager for the Blue Moon Brewing Co $\le$ 480
B)2 L + 4 D