Suppose that the demand function of a new face cream is described by the demand function: (, ) = ^(1/2) ^(1/4) , where represents the quantity demanded, represents price, and represents advertising expenditures.

(i) Compute the price elasticity of demand () and the advertising elasticity of demand ( ). (Please show your detailed calculations).

(ii) What do you predict the advertising-to-sales ratio would be in this industry? (Please demonstrate your method)

(iii) Does it depend on how costly it is to advertise for this product? Why? Why not?