The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t - 50t2 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) = 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t – 50t2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t 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.
Transcribed Image Text:The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t – 50t2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 - t 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.
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