Business: Sales Worldwide semiconductor sales are approximated by the function S(x) = 2x...

Business: Sales Worldwide semiconductor sales are approximated by the function S(x) = 2x³ - 18x² + 48x + 220, in billions of dollars, where x stands for the number of years since 2005 (so that, for example, x = 5 would correspond to 2010).

a. Make sign diagrams for the first and second derivatives.

b. Sketch the graph of S(x), showing all relative extreme points and inflection points.

c. Interpret the meaning of the inflection point and determine the year in which it occurred.