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.
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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