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. (...) Selling unit(s) of radiators for automobiles and unit(s) of radiators for generators will produce a maximum profit.

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