5. Theory of the Consumer (25 points) a) The utility function for an individual is given by U(X, Y) = X '5}? '5 - If prices for the two goods are PX and P}. respectively, and income is I , derive the ordinary.r (uncompensated) demand functions for the two goods X andY. b) For a small increase in the price of X , what is the total change in the quantity demanded of X ? c) Using the Slutsky decomposition, calculate the income effect for the price change in part (b)