Given a demand function Q = f (P, PO, Y) = YPO/P2, where P is the price of the good, PO is the price of another good, and Y is the income level:
a. Calculate the total differential of Q. For the next three questions the answer should be a number:
b. Calculate the price elasticity of demand EQP.
c. Calculate the income elasticity of demand EOY.
d. Calculate the cross elasticity of demand EQPo.
e. Is the good a normal good and why?
f. Is the other good a complementary good or a substitute good and why?