A car dealership keeps track of how much it spends on advertising each month and of its monthly revenue. From this information, the list of advertising expenditures and probable associated revenues are shown in the table below. ### Car Dealership Advertising and Revenue AnalysisA car dealership monitors its monthly advertising expenses and subsequent revenue. The table below presents a summary of these expenditures and corresponding revenues.| Advertising (thousands of dollars) | Revenue (thousands of dollars) ||------------------------------------|--------------------------------|| 5 | 150 || 7 | 200 || 9 | 250 || 11 | 325 || 13 | 400 || 15 | 450 || 17 | 500 || 19 | 525 |#### Analysis Tasks:**d. Second Derivative:**Find the second derivative and explain its significance concerning the data. **e. Point of Diminishing Returns:**Determine and explain the point of diminishing returns within the context of the problem.**f. Graphical Representation:**Plot the function described in part a, clearly indicating the relative extremes and the point of diminishing returns.

A car dealership keeps track of how much it spends on advertising each month and of its monthly revenue. From this information, the list of advertising expenditures and probable associated revenues are shown in the table below. Advertising (thousands of dollars) Revenue (thousands of dollars) 150 7 200 9. 250 11 325 13 400 15 450 17 500 19 525 d. Find the second derivative and explain what it means in terms of the data. Find the point of diminishing returns and explain what it means in terms of the problem. е. f. Graph the function from part a, and label the relative extremes and the point of diminishing returns.

A car dealership keeps track of how much it spends on advertising each month and of its monthly revenue. From this information, the list of advertising expenditures and probable associated revenues are shown in the table below. Advertising (thousands of dollars) Revenue (thousands of dollars) 150 7 200 9. 250 11 325 13 400 15 450 17 500 19 525 d. Find the second derivative and explain what it means in terms of the data. Find the point of diminishing returns and explain what it means in terms of the problem. е. f. Graph the function from part a, and label the relative extremes and the point of diminishing returns.

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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Question

### Car Dealership Advertising and Revenue Analysis

A car dealership monitors its monthly advertising expenses and subsequent revenue. The table below presents a summary of these expenditures and corresponding revenues.

| Advertising (thousands of dollars) | Revenue (thousands of dollars) |
|------------------------------------|--------------------------------|
| 5 | 150 |
| 7 | 200 |
| 9 | 250 |
| 11 | 325 |
| 13 | 400 |
| 15 | 450 |
| 17 | 500 |
| 19 | 525 |

#### Analysis Tasks:

**d. Second Derivative:**
Find the second derivative and explain its significance concerning the data.

**e. Point of Diminishing Returns:**
Determine and explain the point of diminishing returns within the context of the problem.

**f. Graphical Representation:**
Plot the function described in part a, clearly indicating the relative extremes and the point of diminishing returns.

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