Revenue. The marketing research department for a company that manufactures and sells notebook...

Question

Revenue. The marketing research department for a company that manufactures and sells notebook computers established the following price demand and revenue functions:

where p(x) is the wholesale price in dollars at which x thousand computers can be sold, and R(x) is in thousands of dollars. Both functions have domain

(A) Sketch a graph of the revenue function in a rectangular coordinate system.

(B) Find the value of x that will produce the maximum revenue. What is the maximum revenue to the nearest thousand dollars?

(C) What is the wholesale price per computer (to the nearest dollar) that produces the maximum revenue?

Robert · Accepted Answer

1-
2- Maximum Revenue happens where the R'(x)=0
   number of units that yields Max Revenue:
 Maximum Revenue 
3- Whole sales price that generates that Maximum Revenue:
 Per unit

Revenue. The marketing research department for a company that manufactures and sells notebook computers established the following price demand and revenue functions: where p(x) is the wholesale price...

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