The R.C. Helliot Advertising Company finds that its profits on day t of an advertising campaign is given
by P(t)=-4.5t² + 40t + 26,000 where P(t) is profit in dollars for day t of the campaign.
A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in
your answer.)
MP(t) =
B) What is the exact rate of change of profits when 5 days have been passed in the campaign? The rate
of change is
dollars per day. (Your answer may be negative.)
(C) What are their total profits on day 5 of the campaign?
Total profits on day 5 are