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:...

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?