The revenue, R, that a company receives is a function of the weekly sales, x. Also, the sales level, x, is a function of the weekly advertising expenditures, A, and A, in turn, is a varying function of time.

(a) Write the derivative symbols for the following quantities: 

(i) rate of change of revenue, R, with respect to advertising expenditures; 

(ii) time rate of change of advertising expenditures; 

(iii) marginal revenue; 

(iv) rate of change of sales with respect to advertising expenditures. Select your answers from the following:

(b) Write a type of chain rule that expresses the time rate of change of revenue, dR/dt, terms of three of the derivatives described in part (a).

Transcribed Image Text:

dR dR DA DA dx' dt' dA dx dt" dR' dx' dA' and dR dA