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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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