Senior workforce the percentage of women 65 yr and older in

Question

Question: SENIOR WORKFORCE The percentage of women 65 yr and older in the workforce from 1970 through the year 2000 is approximated by the function

P(t) = -0.0002t³ + 0.018t² - 0.36t + 10           (0 ≤ t ≤ 30)

Where t is measured in years, with t = 0 corresponding to the beginning of 1970.

a. Find the interval where P is decreasing and the interval where P is increasing.

b. Find the absolute minimum of P.

c. Interpret the results of parts (a) and (b).