Q. Revenue analysis. A corporation manufactures and sells x digital cameras per week. The weekly price-demand and cost equations are, respectively,
0.5x=500-p and C(x)=2000+160x
(i) Express the price p in terms of the demand x and find out the demand of this function.
(ii) Find out the revenue R(x) from the sale of x digital cameras. Illustrate what is the domain of R?
(iii) Find out the marginal revenue at a production level of 400 digital cameras and interpret the results.
(iv) Illustrate what is the maximum weekly profit?