A company produces x units of product A and y units of product B (both in hundreds per month). The monthly profit equation (in thousands of dollars) given by P(x, y) = -4x² + 4xy – 3y² + 4x + 10y + 81 (A) Find P,(1, 3) and interpret the results. (B) How many of each product should be produced each month to maximize profit? What is the maximum profit?

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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A company produces x units of product A and y units of product B (both in
hundreds per month). The monthly profit equation (in thousands of dollars) given
by
P(x, y) = -4x² + 4xy – 3y² + 4x + 10y + 81
(A) Find P,(1, 3) and interpret the results.
(B) How many of each product should be produced each
month to maximize profit? What is the maximum profit?
Transcribed Image Text:A company produces x units of product A and y units of product B (both in hundreds per month). The monthly profit equation (in thousands of dollars) given by P(x, y) = -4x² + 4xy – 3y² + 4x + 10y + 81 (A) Find P,(1, 3) and interpret the results. (B) How many of each product should be produced each month to maximize profit? What is the maximum profit?
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