Suppose that the supply of x units of a product at price p dollars per unit is given by the following.
p = 20 + 60 ln(8x + 2)
(a) Find the rate of change of supply price with respect to the number of units supplied.
dp
dx
=



(b) Find the rate of change of supply price when the number of units is 31.
$


(c) Approximate the price increase associated with the number of units supplied changing from 31 to 32.
$