The number of board feet, N, that can be manufactured from

Chapter 5, Problem 5.1.500

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The number of board feet, N, that can be manufactured from a tree with a diameter of x inches and a length of y feet is modeled by the formula N 1 4 x2y 2xy 4y. A building contractor estimates that 3000 board feet of lumber is needed for a job. The lumber company has just milled a fresh load of timber from 20 trees that averaged 10 inches in diameter and 16 feet in length. Is this enough to complete the job? If not, how many additional board feet of lumber is needed?

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