A company estimates that it will sell N(t) hair dryers after spending $t thousands on advertising as given by the following equation. For which values of t is the rate of sales N'(t) increasing? N(t) = − 3t³ + 450t² − 21,600t +1,100, 40 ≤t≤60 A. 4040 D. 40

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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A company estimates that it will sell \( N(t) \) hair dryers after spending \( t \) thousands on advertising as given by the following equation. For which values of \( t \) is the rate of sales \( N'(t) \) increasing?

\[ N(t) = -3t^3 + 450t^2 - 21,600t + 1,100, \quad 40 \leq t \leq 60 \]

Options:
- **A.** \( 40 < t < 50 \)
- **B.** \( 50 < t < 60 \)
- **C.** \( t > 40 \)
- **D.** \( 40 < t < 60 \)
Transcribed Image Text:A company estimates that it will sell \( N(t) \) hair dryers after spending \( t \) thousands on advertising as given by the following equation. For which values of \( t \) is the rate of sales \( N'(t) \) increasing? \[ N(t) = -3t^3 + 450t^2 - 21,600t + 1,100, \quad 40 \leq t \leq 60 \] Options: - **A.** \( 40 < t < 50 \) - **B.** \( 50 < t < 60 \) - **C.** \( t > 40 \) - **D.** \( 40 < t < 60 \)
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