Question
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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