6. 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) = -4x + 4xy – 3y? + 4x + 10y + 81 (A) Find P.(1,3) and interpret the results. (B) How many of cach product should be produced each month to maximize profit? What is the maximum profit?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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6. 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) = -4r + 4xy – 3y + 4x + 10y + 81
(A) Find P.(1,3) and interpret the results.
(B) How many of cach product should be produced each
month to maximize profit? What is the maximum profit?
Transcribed Image Text:6. 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) = -4r + 4xy – 3y + 4x + 10y + 81 (A) Find P.(1,3) and interpret the results. (B) How many of cach product should be produced each month to maximize profit? What is the maximum profit?
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