Jose consumes cakes and ale. His demand function for cakes is =30 +20, where is his income, is the price of ale, is the price of cakes, and is his consumption of cakes. Jose's income is $100, and the price of ale is $1 per unit. (a) Is ale a substitute for cakes or a complement? Explain. (b) Write an equation for Jose's demand function of cakes where income and the price of ale are held fixed at $100 and $1. Draw Jose's demand curve for cakes. (c) Write an equation for Jose's inverse demand function of cakes where income is $100 and the price of ale remains at $1.