Chapter 2.1, Problem 86E

Price-demand. A company manufactures notebook computers. Its marketing research department, using statistical techniques, collected the data shown in Table $9$, 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:

$p\left(x\right)=2000-60x1\le x\le 25$

(a) Plot the data points in Table $9$, and sketch a graph of the price-demand function in the same coordinate system.

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