A recently released film has its weekly revenue given by 90t R(t) = 2 + 49* tz 0 where R(t) is in millions of dollars and t is in weeks. (a) Graph R(t). R(t) R(t) 6 4 4 2 4 6 8 10 5 10 15 20 R(t) R(t) 4 2 10 15 20 2 4 6. 8 10 (b) When will revenue be maximized? t = weeks (c) Suppose that if revenue decreases for 2 consecutive weeks, the film will be removed from theaters and will be released as a video 14 weeks later. When will the video come out? t 3D weeks

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by
100C
P =
7,200 + C
(a) Find any C-values at which the rate of change of p with respect to C does not exist. Make sure that these make sense in the problem. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
C =
(b) Find C-values for which p is increasing. (Enter your answer using interval notation. Make sure that your values make sense in the problem.)
(c) If there is a horizontal asymptote, find it. (If an answer does not exist, enter DNE.)
p =
(d) Can 100% of the pollution be removed?
O Yes
O No
Transcribed Image Text:The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by 100C P = 7,200 + C (a) Find any C-values at which the rate of change of p with respect to C does not exist. Make sure that these make sense in the problem. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C = (b) Find C-values for which p is increasing. (Enter your answer using interval notation. Make sure that your values make sense in the problem.) (c) If there is a horizontal asymptote, find it. (If an answer does not exist, enter DNE.) p = (d) Can 100% of the pollution be removed? O Yes O No
A recently released film has its weekly revenue given by
90t
R(t) =
2 + 49*
where R(t) is in millions of dollars and t is in weeks.
(a) Graph R(t).
R(t)
R(t)
6
6
4
4
2
4
6
8
10
5
10
15
20
R(t)
R(t)
4
2
5
10
15
20
2
4
6.
8
10
(b) When will revenue be maximized?
t =
weeks
(c) Suppose that if revenue decreases for 2 consecutive weeks, the film will be removed from theaters and will be released as a video 14 weeks later. When will the
video come out?
t D
weeks
Transcribed Image Text:A recently released film has its weekly revenue given by 90t R(t) = 2 + 49* where R(t) is in millions of dollars and t is in weeks. (a) Graph R(t). R(t) R(t) 6 6 4 4 2 4 6 8 10 5 10 15 20 R(t) R(t) 4 2 5 10 15 20 2 4 6. 8 10 (b) When will revenue be maximized? t = weeks (c) Suppose that if revenue decreases for 2 consecutive weeks, the film will be removed from theaters and will be released as a video 14 weeks later. When will the video come out? t D weeks
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