kindly provide detailed solutions for all the parts of the question.

4. (15 points) Suppose that your utility from consuming 2 goods is given by U(x1,x2); the prices of the goods are p, and P2; and you desire a fixed level of utility U.. Using implicit differentiation (total derivative) demonstrate: a) (5 points) Whether the Hicksian demands for both goods are increasing or decreasing in their own prices; axi. d) (5 points) Whether " e) (5 points) Whether the Hicksian demands for both goods are increasing or decreasing in utility