The surface of the skin is made up of a network of intersecting lines that form polygons. Researchers have discovered a functional relationship between the age of a female and the number of polygons per area of skin according to P(t) = 237.09 - 8.0398t + 0.20813t² - 0.0027563t³ + 0.000013016t⁴, 0 ≤ t ≤ 95, where t is the age of the person (in years), and P(t) is the number of polygons for a particular surface area of skin.

(a) Use a graphing calculator to sketch a graph of P(t) on [0, 95] by [0, 300].
(b) Find the maximum and minimum number of polygons per area predicted by the model.