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Carol consumes only two goods: milk and chocolates. Let x denote the quantity of milk (measured in pints) and y denote the quantity of chocolates (measured in ounces) that Carol consumes each week. Carol's preferences are represented by the Cobb-Douglas utility function u(x, y) = x/Zy. Carol's goal is to reach weekly utility level U * consuming her favorite goods at the minimal expenditure level. The price of one pint of milk is px, and the price of one ounce of chocolate is px (a) Carefully write down Carol's expenditure minimization problem and find the compensated demand functions for milk and chocolates using the Lagrange method