Full Name: (please PRINT clearly) Hazelnut orchards are a common sight throughout the Willamette Valley. In fact, over 99% of all hazelnuts in the United States are grown right here in the Willamette Valley. A mature hazelnut tree (12 years or older) can produce 32 pounds of nuts per year if they have plenty of space. Suppose you are starting a new hazelnut farm and have read that putting 80 trees on an acre of land will give them enough space to produce the maximum yield of 32 pounds of nuts per tree. Your goal, however, is not to make sure each tree has a maximum yield, but rather to maximize the yield of the entire orchard. So it may make sense to plant a few more trees per acre, even if doing so means each tree doesn't give you the full 32 pounds. If the average yield per tree drops 1/5 of a pound for each extra tree planted, how many trees should be planted per acre in order to maximize the amount of hazelnuts harvested? And how big is that maximum harvest per acre?

Full Name: (please PRINT clearly) Hazelnut orchards are a common sight throughout the Willamette Valley. In fact, over 99% of all hazelnuts in the United States are grown right here in the Willamette Valley. A mature hazelnut tree (12 years or older) can produce 32 pounds of nuts per year if they have plenty of space. Suppose you are starting a new hazelnut farm and have read that putting 80 trees on an acre of land will give them enough space to produce the maximum yield of 32 pounds of nuts per tree. Your goal, however, is not to make sure each tree has a maximum yield, but rather to maximize the yield of the entire orchard. So it may make sense to plant a few more trees per acre, even if doing so means each tree doesn't give you the full 32 pounds. If the average yield per tree drops 1/5 of a pound for each extra tree planted, how many trees should be planted per acre in order to maximize the amount of hazelnuts harvested? And how big is that maximum harvest per acre?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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