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.

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

Table 1 Revenue

x (thousands)	R(x) (thousand $)
1	1,940
5
10
15
20
25

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

Problem 1

Price–demand. A company manufactures notebook computers. Its marketing research department, using statistical techniques, collected the data shown in Table 2, where p is the wholesale price per computer at which x thousand computers 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

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

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(B) What would be the estimated price per computer for a demand of 11,000 computers? For a demand of 18,000 computers?