Utility, Substitution and income effect.Will Venmo or PayPal $50 if completed in an hour and a half

Page Consider the following utility function: U=x 0.6 0.4 (a Derive the marginal rate of substitution. (b) Derive the demand functions for good r and good z as a function of income (Y), the price of x (Pr) and the price of z (Pz). (c) Assume Y = 100, Pr = 5 and pz = 10. Find the equilibrium quantities (bundle A) for this consumer. (d) Let's now assmue good z goes on sale for $8 (Pz = 8). If nothing else changes, what are the new equilibrium quantities (bundle B)? (e) Calculate the decomposition bundle. (Hint: find another another bundle, say Bundle C, by using New Prices and Old Utility concept). (f) Calculate the total, income and substitution effect for good z