Chapter 2.6, Problem 20E

Supply. A supply function for a certain product is given by

$S\left(p\right)=0.08p^3+2p^2+10p+11,$

Where S (p) is the number of items produced when the price is p dollars Use $S\text{'}\left(p\right)$

to estimate how many more units a producer will supply when the price changes from $18.00 per unit to $18.20 per unit 31.95, or about 32 units.