Marginal income. The demand equation p=f(x) and the income function are given by R(x)= px= xf(x). The management of the ACME company plans to commercialize the Electro-Stat fans. The marketing department has determined that the demand for the fans is:

p=0.02x+900 (0<x<20,000)

Where p denotes unit price in dollars, and x the quantity demanded.

a. Determine the income function R(x). b. Determine the marginal income function R(x) c. Calculate R (10,000) and interpret result.

Marginal Profit. Using the information from the above problem. If the production department of Electro-Stat fans estimates that the total cost in dollars for the production of x systems in a year will be: C(x)= 400x - 400,000

Profit function (Profit)= P(x)=R(x)-C(x) bone (Profit= Revenues-cost)

a. Determine la funcin de ganancia (profit) P(x)

b. Determine la funcin de ganancia marginal P(x)

c. Calcular P'(3,000) e interpretar resultado.