Find the utility maximizing consumption bundle and the maximized level of utility for each of the following problems. parts a and b you do not have to use calculus. a.U(x,y) = min(x,y), I = 100, p_x = 5, p_y = 10. b.U(x,y) = 2*x + 4*y, I = 120, p_x = 3, p_y = 8. c.U(x,y) = x^1/3*y^2/3, I = 300, p_x = 10, p_y = 10. d.U(x,y) = x^.25*y^.75, I = 400, p_x = 10, p_y = 20.