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3 3. (8 points) A competitive firm produces two goods with quantities denoted by x and y, respectively. The firm's profit function is given by

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3 3. (8 points) A competitive firm produces two goods with quantities denoted by x and y, respectively. The firm's profit function is given by n(x, y) = 9x + 4y -3x2 - yz + xy. Find the firm's optimal quantities. Check whether the sufficient condition for profit maximization is satisfied

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