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.

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