A company manufactures and sells two products, I and II, that sell for $p₁ and $p₂ per unit, respectively. Let C(x, y) be the cost of producing x units of product I and y units of product II. Show that if the company’s profit is maximized when x = a, y = b, then

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ac ax - (a, b) = p and ac ду - (a, b) = P2·