(30 points) Suppose your utility from consuming n goods is given by U(X1, ..., Xn); the price of each good Xi is Pi (where i .,n); and your income is lo = 1, Using implicit differentiation (total derivative) demonstrate: a) (10 points) Whether the Marshallian demand for good Xi is increasing or decreasing in its own price; Oxj. b) (10 points) Whether > ' c) (10 points) Whether the Marshallian demand for good Xi is increasing or decreasing in income