The profit from the sale of x units of radiators for automobiles and y units of radiators

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The profit from the sale of x units of radiators for automobiles and y units of radiators for generators is given by P(x, y) = -x2 - y2 + 4x + 8y. Find values of x and y that lead to a maximum profit if the firm must produce a total of 6 units of radiators.

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