Amy has a utility function

Amy has a utility function:
u(x,y,z)= 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.