Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary-stylecabinets sell for $130 and farmhouse-style cabinets sell for $120. Each cabinet produced must go through carpentry, painting, and finishing processes. The followingtable summarizes how much time in each process must be devoted to each style of cabinet.StyleContemporaryFarmhouseMaxHours per ProcessCarpentry Painting Finishing2.3-2,71.51.11.31.3Carpentry costs $15 per hour, painting costs $12 per hour, and finishing costs $18 per hour; and the weekly number of hours available in the processes is 2,800 incarpentry, 1,400 in painting, and 1,400 in finishing.Brooklyn also has a contract that requires the company to supply one of its customers with 450 contemporary cabinets and 725 farmhouse-style cabinets each week.Define x and y as follows.x = the number of contemporary-style cabinets produced each weeky = the number of farmhouse-style cabinets produced each week.(a) Develop the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit.(b) Show the mathematical expression for each of the constraints on the three processes.

Let me state the given data,x = the number of contemporary-style cabinets produced each weeky= the…

Answered: (a) Develop the objective function,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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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) Develop the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit. Max (b) Show the mathematical expression for each of the constraints on the three processes.