# Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary

## Question:

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 3000 in carpentry, 1500 in painting, and 1500 in finishing. Brooklyn also has a contract that requires the company to supply one of its customers with 500 contemporary cabinets and 650 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.

b. Show the mathematical expression for each of the constraints on the three processes.

c. Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements.

## Step by Step Answer:

**Related Book For**

## An Introduction to Management Science Quantitative Approaches to Decision Making

**ISBN:** 978-1111823610

14th edition

**Authors:** David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran