At the "Patagonia South" brewery three different types of beers are produced: blonde, black and low alcohol. For this, two raw materials are used: malt and yeast. To produce one unit of each beer, both malt and yeast are required. The raw materials necessary to produce these beers are: blonde beer, 1 kg of malt and 2 kg of yeast. For black beer you need 2 kg of malt and 1 kg of yeast. Finally, for low alcohol beer, 2 kg of malt and 2 kg of yeast are required. The amount of raw material available daily is 30 kg of malt and 45 kg of yeast. The profit of each beer is $7 UM blonde, $4 UM black, and $3 UM for low alcohol. The aim is to know the quantity to be manufactured of each type of beer so that the benefit is the maximum possible. - Formulate the problem using the Simplex method, and find the optimal solution. - Starting from the optimal solution, determine the state of each resource
At the "Patagonia South" brewery three different types of beers are produced: blonde, black and low alcohol. For this, two raw materials are used: malt and yeast.
To produce one unit of each beer, both malt and yeast are required. The raw materials necessary to produce these beers are: blonde beer, 1 kg of malt and 2 kg of yeast. For black beer you need 2 kg of malt and 1 kg of yeast. Finally, for low alcohol beer, 2 kg of malt and 2 kg of yeast are required.
The amount of raw material available daily is 30 kg of malt and 45 kg of yeast.
The profit of each beer is $7 UM blonde, $4 UM black, and $3 UM for low alcohol.
The aim is to know the quantity to be manufactured of each type of beer so that the benefit is the maximum possible.
- Formulate the problem using the Simplex method, and find the optimal solution.
- Starting from the optimal solution, determine the state of each resource.
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