Problem

Revenue.(A) Using the price–demand functionfrom Problem 1, write the company’s revenue fun...

Revenue.

(A) Using the price–demand function

from Problem 1, write the company’s revenue function and indicate its domain.


(B) Complete Table 1, computing revenues to the nearest million dollars.

Table 1 Revenue

x (millions)

R(x) (million $)

 1

72

 4

 

 8

 

12

 

16

 

20

 


(C) Plot the points from part (B) and sketch a graph of the revenue function using these points. Choose millions for the units on the horizontal and vertical axes.

Problem 1

Price–demand. A company manufactures memory chips for microcomputers. Its marketing research department, using statistical techniques, collected the data shown in Table 2, where p is the wholesale price per chip at which x million chips can be sold. Using special analytical techniques (regression analysis), an analyst produced the following price–demand function to model the data:

Table 2 Price–Demand

x (millions)

p($)

 1

72

 4

63

 9

48

14

33

20

15

(A) Plot the data points in Table 2, and sketch a graph of the price–demand function in the same coordinate system.


(B) What would be the estimated price per chip for a demand of 7 million chips? For a demand of 11 million chips?

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