Suppose that x units of one input and y units of a second input result in P = 60x + 45y-x²-y² - xy units of a product. You know from experience that such a function is maximized at its critical point. Determine the inputs x and y that will maximize P. x = -25 y = 100 Xunits X units What is the maximum production? units

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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Suppose that x units of one input and y units of a second input result in
P = 60x + 45y-x²-y² - xy
units of a product. You know from experience that such a function is maximized at its critical point. Determine the inputs x
and y that will maximize P.
x = -25
y = 100
Xunits
X units
What is the maximum production?
units
Transcribed Image Text:Suppose that x units of one input and y units of a second input result in P = 60x + 45y-x²-y² - xy units of a product. You know from experience that such a function is maximized at its critical point. Determine the inputs x and y that will maximize P. x = -25 y = 100 Xunits X units What is the maximum production? units
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