A local bakery produces two popular items weekly: chocolate cakes and apple pies. The profit for a chocolate cake is $30, and an apple pie is $20. Each product requires two types of labor: baking and decorating. The chocolate cake needs 2 hours of decorating and 1 hour of baking, while an apple pie takes 1 hour for baking and 1 hour for decorating. The bakery has 1000 hours weekly for decorating and 800 hours for baking. Due to market demand constraints, the bakery should not produce more than 400 chocolate cakes per week. Hence, the bakery needs to know the optimal number of chocolate cakes and apple pies to maximize its total profit. Formulate the optimization model for this problem (the decision variables, objective function, and constraints).
A local bakery produces two popular items weekly: chocolate cakes and apple pies. The profit for a chocolate cake is $30, and an apple pie is $20. Each product requires two types of labor: baking and decorating. The chocolate cake needs 2 hours of decorating and 1 hour of baking, while an apple pie takes 1 hour for baking and 1 hour for decorating. The bakery has 1000 hours weekly for decorating and 800 hours for baking. Due to market demand constraints, the bakery should not produce more than 400 chocolate cakes per week. Hence, the bakery needs to know the optimal number of chocolate cakes and apple pies to maximize its total profit. Formulate the optimization model for this problem (the decision variables, objective function, and constraints).
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A local bakery produces two popular items weekly: chocolate cakes and apple pies. The profit for a chocolate cake is $30, and an apple pie is $20. Each product requires two types of labor: baking and decorating. The chocolate cake needs 2 hours of decorating and 1 hour of baking, while an apple pie takes 1 hour for baking and 1 hour for decorating. The bakery has 1000 hours weekly for decorating and 800 hours for baking. Due to market demand constraints, the bakery should not produce more than 400 chocolate cakes per week. Hence, the bakery needs to know the optimal number of chocolate cakes and apple pies to maximize its total profit.
Formulate the optimization model for this problem (the decision variables, objective function, and constraints).
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