The demand for a product is given by the following demand function D(g) : units in demand and D(q) is the price per item, in dollars. If 9, 000 units are in demand, what is the Total Revenue that can be expected? - 0.008q + 93 , where q is Answer: Total Revenue = $

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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**Demand Function and Total Revenue Calculation**

The demand for a product is given by the following demand function: 

\[ D(q) = -0.008q + 93 \]

- **\(q\)** represents the number of units in demand.
- **\(D(q)\)** denotes the price per item, measured in dollars.

**Problem:**  
If 9,000 units are in demand, what is the **Total Revenue** that can be expected?

**Solution:**  
To find the Total Revenue, use the formula:  
\[ \text{Total Revenue} = q \times D(q) \]

**Answer:** Total Revenue = \$ \_\_\_\_ 

*Note*: To find the answer, substitute \( q = 9000 \) into the demand function to calculate \( D(q) \), then multiply by 9000 for the Total Revenue.
Transcribed Image Text:**Demand Function and Total Revenue Calculation** The demand for a product is given by the following demand function: \[ D(q) = -0.008q + 93 \] - **\(q\)** represents the number of units in demand. - **\(D(q)\)** denotes the price per item, measured in dollars. **Problem:** If 9,000 units are in demand, what is the **Total Revenue** that can be expected? **Solution:** To find the Total Revenue, use the formula: \[ \text{Total Revenue} = q \times D(q) \] **Answer:** Total Revenue = \$ \_\_\_\_ *Note*: To find the answer, substitute \( q = 9000 \) into the demand function to calculate \( D(q) \), then multiply by 9000 for the Total Revenue.
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