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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 900 gallons each day. To produce a keg of Lite beer requires 1 minutes of time and 3 gallons of malt extract, while each keg of Dark beer needs 2 minutes of time and 1 gallons of malt extract. Profits for Lite beer are $2.00 per keg, and profits for Dark beer are $5.00 per keg. Assume L and D are the number of light and dark kegs of beer to produce respectively.
1. What is the objective function to maximize?
a. 2L+3D
b. 2L+5D
c. 3L+2D
d. 4L+2D
2. What is the time constraint?
a. 4L+2D < = 480
b. L + 2D < = 480
c. 2L + 3D < = 480
d. 2L+4D < = 480
3. Which of the following is not a feasible production combination?
a. 0L & 0D
b. 100L & 200D
c. 100L & 100D
d. 200L & 100D
4. What are the optimal profits?
a. 1068
b. 1200
c. 600
d. 2400
5. What is the optimal production mix?
a. 0L & 200D
b. 0L & 0D
c. 300L & 0D
d. 0L & 240D
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