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) Minimize a firm's total costs C = 45X^2+ 90XY+ 90Y^2 when the firm has to meet a production quota equal to 2X + 3Y=

) Minimize a firm's total costs C = 45X^2+ 90XY+ 90Y^2 when the firm has to meet a production quota equal to 2X + 3Y= 60 by (a) finding the critical values X, Y and lemda (b) using the bordered Hessian |H| to test the second-order condition

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