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Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporar style cabinets sell for $135 and farmhouse-style cabinets sell for $125. 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. Style Contemporary Farmhouse Hours per Process Carpentry Painting Finishing 2.4 2.8 1.5 1.2 1.3 1.4 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 2,600 in carpentry, 1,300 in painting, and 1,300 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 450 contemporary cabinets and 600 farmhouse-style cabinets ea week. Let x = the number of contemporary-style cabinets produced each week

Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporar style cabinets sell for $135 and farmhouse-style cabinets sell for $125. 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. Style Contemporary Farmhouse Hours per Process Carpentry Painting Finishing 2.4 2.8 1.5 1.2 1.3 1.4 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 2,600 in carpentry, 1,300 in painting, and 1,300 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 450 contemporary cabinets and 600 farmhouse-style cabinets ea week. Let x = the number of contemporary-style cabinets produced each week

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 103P
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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. carpentry painting finishing (c) Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements. contemporary farmhouse
Transcribed Image Text:(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 Brooklyn are contemporary and farmhouse. Contemporary- style cabinets sell for $135 and farmhouse-style cabinets sell for $125. 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. Style Contemporary Farmhouse Let Carpentry Painting 2.4 Hours per Process 2.8 1.5 1.2 Finishing 1.3 1.4 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 2,600 in carpentry, 1,300 in painting, and 1,300 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 450 contemporary cabinets and 600 farmhouse-style cabinets each week. x = the number of contemporary-style cabinets produced each week y = the number of farmhouse-style cabinets produced each week
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 $135 and farmhouse-style cabinets sell for $125. 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. Style Contemporary Farmhouse Let Carpentry Painting 2.4 Hours per Process 2.8 1.5 1.2 Finishing 1.3 1.4 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 2,600 in carpentry, 1,300 in painting, and 1,300 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 450 contemporary cabinets and 600 farmhouse-style cabinets each week. x = the number of contemporary-style cabinets produced each week y = the number of farmhouse-style cabinets produced each week
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ISBN:
9781337406659
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