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Cal's Pints produces ale and beer. Production is limited by the following scarce resources: corn, hops, and malt. The brewery produces four different types of beer: golden ale, India Pale Ale (IPA), lager, and stout. Recipes for each require different proportions of resources, as shown in the table below:
Corn (lbs.)
Hops (oz.)
Malt (lbs.)
Golden ale
5
4
30
IPA
6
Lager
8
35
Stout
10
40
Available
650
430
1780
The profits for a barrel of each type of beer are as follows: $13/barrel for golden ale, $16/barrel for IPA, $14/barrel for lager, and $18/barrel for stout.
Formulate and solve a linear programming model for this product mix application in order to answer the following questions: How many barrels of each kind of beer should Cal's Pints produce in order to maximize profit? What is the total profit that this combination of beers produced will yield.
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