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 ≤ 480
B) 2 L + 4 D ≤ 480
C) 3 L + 2 D ≤ 480
D) 4 L + 2 D ≤ 480
E) 5 L + 3 D ≤ 480

Question

Quizplus · Accepted Answer

The time constraint is limited to 8 hours or 480 minutes per day. To produce a keg of Lite beer requires 2 minutes of time, and each keg of Dark beer needs 4 minutes of time. Let L be the number of kegs of Lite beer produced and D be the number of kegs of Dark beer produced. The time constraint can be expressed as 2L + 4D ≤ 480. This equation states that the total production time required for Lite and Dark beers must be less than or equal to 480 minutes. Therefore, the correct choice is B.

The Operations Manager for the Blue Moon Brewing Co