Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $a thousand on advertising, as given by N (x) =-0.45 a+ 45 a- 1,071 a2+ 164,512. What is the point of diminishing returns? Round to the nearest dollar. $.

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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**Diminishing Returns**

Jesaki Inc. estimates that it will sell \( N(x) \) units of product after spending \( x \) thousand on advertising, as given by 

\[ N(x) = -0.5x^3 + 45.7x^2 + 107.1x + 1645.12 \]

What is the point of diminishing returns? Round to the nearest dollar: 

\$ __________

---

*Explanation:*

This content appears to discuss the concept of diminishing returns in the context of advertising expenditures. It presents a polynomial function \( N(x) \) that models the number of units sold based on advertising spending. The task is to determine the point at which additional spending no longer proportionally increases sales, known as the point of diminishing returns. A box is provided for inputting this value, rounded to the nearest dollar.
Transcribed Image Text:**Diminishing Returns** Jesaki Inc. estimates that it will sell \( N(x) \) units of product after spending \( x \) thousand on advertising, as given by \[ N(x) = -0.5x^3 + 45.7x^2 + 107.1x + 1645.12 \] What is the point of diminishing returns? Round to the nearest dollar: \$ __________ --- *Explanation:* This content appears to discuss the concept of diminishing returns in the context of advertising expenditures. It presents a polynomial function \( N(x) \) that models the number of units sold based on advertising spending. The task is to determine the point at which additional spending no longer proportionally increases sales, known as the point of diminishing returns. A box is provided for inputting this value, rounded to the nearest dollar.
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