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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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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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