Question

Paul and Polly’s Perfect Pralines and Pastries produces two types of pastry, choux pastry and puff...

Paul and Polly’s Perfect Pralines and Pastries produces two types of pastry, choux pastry and puff
pastry. To produce a batch of choux pastry requires 4 cups of flour, 16 eggs, and 2 cups of butter.
To produce a batch of puff pastry requires 8 cups of flour and 5 cups of butter. Each day, Paul and
Polly have available to them 100 cups of flour, 84 eggs, and 96 cups of butter. Each batch of choux
pastry produces $20 in profit, and each batch of puff pastry produces $16 in profit.
Formulate a linear programming problem which would answer the question: How many batches of
choux pastry and puff pastry should Paul and Polly’s Perfect Pralines and Pastries produce in order
to maximize profit?

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