The percentage of men age 65 years and older in the workforce from 1950(t=0) through 2000(t=50) is approximately
P(t)=0.0165t²−1.132t+42.8(0≤t≤50).
Show that the percentage of men age 65 years and older in the workforce in the period of time under consideration was smallest around April 1984 . P'(t)=_______, which implies that t=_______ is a critical number of P. (Round the value of t to one decimal place.)
P''(t)=___________, which implies that P'' at this critical number is 0 , so the critical number gives a value of P. This occurs around April 1984. What is that percentage? (Round your answer to two decimal places.) %