The profit P (in thousands of dollars) for a company spending an amounts (in thousands of dollars) on advertising is shown below. P= 400 + 18s2 + 3ܨ 1 10 Exercise (a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. Step 1 To find maximums or minimums, we differentiate P=-. 3+ 18s2 + 400 with respect to s, set it equal to zero, and solve for s. 10 10 s² + 36s = - Submit Skip (you cannot come back) 10 s(s
The profit P (in thousands of dollars) for a company spending an amounts (in thousands of dollars) on advertising is shown below. P= 400 + 18s2 + 3ܨ 1 10 Exercise (a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. Step 1 To find maximums or minimums, we differentiate P=-. 3+ 18s2 + 400 with respect to s, set it equal to zero, and solve for s. 10 10 s² + 36s = - Submit Skip (you cannot come back) 10 s(s
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 16P
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Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is shown below.
P = — _¹_5³ + 18s² + 400
1
10
Exercise (a)
Find the amount of money the company should spend on advertising in order to yield a maximum profit.
Step 1
To find maximums or minimums, we differentiate P =
dp
ds
10
s² + 36s =
Submit Skip (you cannot come back)
| Click here to begin!
10
1
10
+ 18s² + 400 with respect to s, set it equal to zero, and solve for s.
s(s -
Exercise (b)
The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline. Find the point of diminishing returns.
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