A cellphone manufacturer has developed a profit model that depends on x number of cellphones per month sold and y hours per month of advertising, according to the function Р(а, у) %3D 9г* + 36гу — 4у — 18r — 18у, where P is measured in thousand pesos. If the budgetary constraint is 3x + 4y = 32, use the method of Lagrange Multipliers to find the maximum profit.
A cellphone manufacturer has developed a profit model that depends on x number of cellphones per month sold and y hours per month of advertising, according to the function Р(а, у) %3D 9г* + 36гу — 4у — 18r — 18у, where P is measured in thousand pesos. If the budgetary constraint is 3x + 4y = 32, use the method of Lagrange Multipliers to find the maximum profit.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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![A cellphone manufacturer has developed a profit model that depends on x number of
cellphones per month sold and y hours per month of advertising, according to the function
P(x, y) = 9x2 + 36xy – 4y? – 18x – 18y,
where P is measured in thousand pesos. If the budgetary constraint is 3x + 4y = 32, use
the method of Lagrange Multipliers to find the maximum profit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56d0a1df-ad0f-496a-ba30-0398fcc97c41%2F681c3e9c-498d-45e6-8c63-cce7b369f6b7%2F8wn23g5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A cellphone manufacturer has developed a profit model that depends on x number of
cellphones per month sold and y hours per month of advertising, according to the function
P(x, y) = 9x2 + 36xy – 4y? – 18x – 18y,
where P is measured in thousand pesos. If the budgetary constraint is 3x + 4y = 32, use
the method of Lagrange Multipliers to find the maximum profit.
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