Ale and beer.
Question
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 | 6 | 30 |
| Lager | 8 | 5 | 35 |
| Stout | 10 | 6 | 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.
Please show all work
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