Amy has a utility function:u(xyz)= x+2lny+lnz(a) What kind of preferences does Amy have? Explain. What does this mean for her demand functions?(b) Derive her demand functions when she has income M and faces prices px py pz.. Explain your steps in deriving the demand functions.(c) Find the income own price and cross price elasticities of good y. Explain whether the good is normal ordinary and a substitute or complement of the other goods in demand.