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Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brookdyn are contemporary and farmhouse. Contemporary-style cabinets sell for $100 and farmhouse-style cabinets sell for $110. Each cabinet produced must go through carpentry, painting, and finishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet. Hours per Process Style Carpentry Painting Finishing Contemporary 2.3 1.6 1.4 Farmhouse 2.7 1.1 1.3 Carpentry costs $15 per hour, painting costs $12 per hour, and finishing costs $18 per hour; and the weekdy number of hours available in the processes is 2.400 in carpentry, 1.200 in painting, and 1.200 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 550 contemporary cabinets and 675 farmhouse-style cabinets each week. Let x = the number of contemporary-style cabinets produced each week y = 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. Max (b) Show the mathematical expression for each of the constraints on the three processes. carpentry painting finishing (c) Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements. contemporary farmhouse

Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brookdyn are contemporary and farmhouse. Contemporary-style cabinets sell for $100 and farmhouse-style cabinets sell for $110. Each cabinet produced must go through carpentry, painting, and finishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet. Hours per Process Style Carpentry Painting Finishing Contemporary 2.3 1.6 1.4 Farmhouse 2.7 1.1 1.3 Carpentry costs $15 per hour, painting costs $12 per hour, and finishing costs $18 per hour; and the weekdy number of hours available in the processes is 2.400 in carpentry, 1.200 in painting, and 1.200 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 550 contemporary cabinets and 675 farmhouse-style cabinets each week. Let x = the number of contemporary-style cabinets produced each week y = 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. Max (b) Show the mathematical expression for each of the constraints on the three processes. carpentry painting finishing (c) Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements. contemporary farmhouse

Practical Management Science
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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Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary-style cabinets sell for $100 and farmhouse-style cabinets sell for $110. Each cabinet produced must go through carpentry,. painting, and finishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet. Hours per Process Style Carpentry Painting Finishing Contemporary 2.3 1.6 1.4 Farmhouse 2.7 1.1 1.3 Carpentry 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 2,400 in carpentry, 1,200 in painting, and 1,200 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 550 contemporary cabinets and 675 farmhouse-style cabinets each week. Let x = the number of contemporary-style cabinets produced each week y = 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. Max (b) Show the mathematical expression for each of the constraints on the three processes. caгpеntry painting finishing (c) Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements. contemporary farmhouse
Transcribed Image Text:Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary-style cabinets sell for $100 and farmhouse-style cabinets sell for $110. Each cabinet produced must go through carpentry,. painting, and finishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet. Hours per Process Style Carpentry Painting Finishing Contemporary 2.3 1.6 1.4 Farmhouse 2.7 1.1 1.3 Carpentry 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 2,400 in carpentry, 1,200 in painting, and 1,200 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 550 contemporary cabinets and 675 farmhouse-style cabinets each week. Let x = the number of contemporary-style cabinets produced each week y = 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. Max (b) Show the mathematical expression for each of the constraints on the three processes. caгpеntry painting finishing (c) Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements. contemporary farmhouse
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