A model for the yield Y of an agricultural crop as a function of the nitrogen level N and phosphorous level P in the soil is Y (N, P) = kNP e^(−N−P) where k is a positive constant. What levels of nitrogen and phosorous result in the best yield?

A model for the yield Y of an agricultural crop as a function of the nitrogen level N and phosphorous level P in the soil is Y (N, P) = kNP e^(−N−P) where k is a positive constant. What levels of nitrogen and phosorous result in the best yield?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 106E

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Question

A model for the yield Y of an agricultural crop as a function of the nitrogen level N and
phosphorous level P in the soil is
Y (N, P) = kNP e^(−N−P)
where k is a positive constant.

What levels of nitrogen and phosorous result in the best yield?

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