The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t - 60t² units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] q'(t) = Find the rate of change of the price. p'(t) = Find the rate of change of monthly revenue 5 months after the introduction of the sound system. $ per month Interpret your answer. When t = ], the revenue is increasing at a rate of $ per month.
The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t - 60t² units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] q'(t) = Find the rate of change of the price. p'(t) = Find the rate of change of monthly revenue 5 months after the introduction of the sound system. $ per month Interpret your answer. When t = ], the revenue is increasing at a rate of $ per month.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t - 60t² units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t² dollars per sound
system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).]
q'(t) =
X
Find the rate of change of the price.
p'(t) =
Find the rate of change of monthly revenue 5 months after the introduction of the sound system.
$
per month
Interpret your answer.
When t =
, the revenue is increasing at a rate of $
per month.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5706278e-a935-4281-9602-9e379e6c5f72%2F566a86e0-41b4-401a-8d27-8382f267d3b9%2Fe4gdzsl_processed.png&w=3840&q=75)
Transcribed Image Text:The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t - 60t² units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t² dollars per sound
system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).]
q'(t) =
X
Find the rate of change of the price.
p'(t) =
Find the rate of change of monthly revenue 5 months after the introduction of the sound system.
$
per month
Interpret your answer.
When t =
, the revenue is increasing at a rate of $
per month.
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