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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...

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.


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L.P problem.xlsx

decision variables
let: Y1 be the number of golden ale barrels
Y2 be the number of IPA barrels
Y3 be the number of lager barrels
Y4 be the number of stout barrels
Objective function:
Maximize; Z=...

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