The R.C helliot advertising company find that its profits on day t of an advertising campaign is given by: P(t)= -4t^2+40t+11,000 Where P(t) is profit in dollars for day t of the campaign

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The R.C helliot advertising company find that its profits on day t of an advertising campaign is given by: P(t)= -4t^2+40t+11,000 Where P(t) is profit in dollars for day t of the campaign.
The R.C. Helliot Advertising Company finds that its profits on day t of an advertising campaign is
given by P(t) = – 4ť² + 40t + 11, 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 26 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 26 of the campaign?
Total profits on day 26 are
Transcribed Image Text:The R.C. Helliot Advertising Company finds that its profits on day t of an advertising campaign is given by P(t) = – 4ť² + 40t + 11, 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 26 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 26 of the campaign? Total profits on day 26 are
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