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

Carpentry costs $15 per hour, painting costs $12 per hour, and fiishing costs $18 per hour, and the weekly number of hours available in the processes is 3000 in carpentry, 1500 in painting, and 1500 in fiishing. 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

1. Develop the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit.The objective function is maximize: ___?_____
2. Show the mathematical expression for each of the constraints on the three processes.Hours available in carpentry:___?______x1+__?_____y1≤___?____Hours available in painting:___?_______x2+___?_____y2≤_____?__Hours available in finishing:_____?______x3+____?____y3≤____?___-
3. Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements.x≥____?_____y≥____?______