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Quantitative Models for Decision-Makers Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary style

Quantitative Models for Decision-Makers

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 $150. 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

Carpentry

Hours per Process Painting

Finishing

Contemporary

3

2

1

Farmhouse

2

4

3

Carpentry costs $10 per hour, painting costs $20 per hour, and finishing costs $15 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.

Q: What is the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit?

  • A.

    15.0x + 5.0y

  • B.

    11.1x + 21.4y

  • C.

    5x + 15y

  • D.

    5.5x + 15.5y

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