Question: Hiring lobbyists many public entities like cities, counties, states, utilities, and indian tribes are hiring firms to lobby congress. One goal of such lobbying is to place earmarks-money directed at a specific project-into appropriation bills. The amount (in millions of dollars) spent by public entities on lobbying from 1998 through 2004 is given by
f(t) = -0.425t3 + 3.6571t2 + 4.018t + 43.7 (0 ≤ t ≤ 6)
Where t is measured in years, with t = 0 corresponding to the beginning of 1998.
A. Show that f is increasing on (0, 6). What does this say about the spending by public entities on lobbying over the years in question?
B. Find the inflection point of f. What does your result tell you about the growth of spending by the public entities on lobbying?