A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day where t is the number of days after an advertising campaign ends and 0 ≤ t ≤ 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14). C

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
Cost, revenue, and profit are in dollars and x is the number of units
Suppose that the marginal revenue for a product is MR = 2700 and the marginal cost is MC = 90√x + 4, with a fixed cost of $600.
(a) Find the profit or loss from the production and sale of 5 units.
There is a -Select--- of $
(b) How many units will result in a maximum profit?
units
Transcribed Image Text:Cost, revenue, and profit are in dollars and x is the number of units Suppose that the marginal revenue for a product is MR = 2700 and the marginal cost is MC = 90√x + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select--- of $ (b) How many units will result in a maximum profit? units
A store finds that its sales revenue changes at a rate given by
s'(t) = −30t² + 400t dollars per day
where t is the number of days after an advertising campaign ends and 0 ≤ t ≤ 30.
(a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7).
$
(b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14).
$
Transcribed Image Text:A store finds that its sales revenue changes at a rate given by s'(t) = −30t² + 400t dollars per day where t is the number of days after an advertising campaign ends and 0 ≤ t ≤ 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14). $
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage