calculate the substitute effect from a price change for good x and good y

4. (4 points) Consider a consumer with utility U =4X + 80 In(Y) Note: Your answers should be in terms of Px P, and I and should use calculus. a) Calculate the substitution effect from a price change for Good X and Good Y b) Calculate the income effect of a price change for Good X and Good Y c) Show that the Slutsky Equation holds for this consumer for Good X and Good Y d) Calculate the uncompensated own-price elasticities for this consumer for Good X and Good Y. e) Calculate the compensated own-price elasticities for this consumer for Good X and Good Y. Note: Your answers should be in terms of P, Py and I. [Hint: To calculate the derivative of z In(z), use f(z) and g(z)]