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Problem 11 Consumer I has the utility function U = XV x+y subject to PxX + pyl =m Derive the generalized demand function for good x and good y. Problem 12 Alex spends all his money on jeans and shirts. His utility function is given: U(X ,, X ) = XX S The price of jeans is Php 2.00 and the price of shirts is Php 3.00 and his income is Php 100. Find Alex's utility -maximizing consumption bundle. Problem 13 Alex spends all his money on jeans and shirts. His utility function is given: U(X,, X ) = XX The price of jeans is Php 2.00 and the price of shirts is Php 3.00 and his income is Php 100. If the price of shirts falls to Php 2.00. Find the substitution and the ordinary income effect. Problem 14 max u(x, y) = x /zy / s.t. 120 = 2y + 4x Act Go t Solve for x", y*, and total utility.Problem 15 Show that the following utility function satisfies all axioms of consumer preference: U=x x,y20