The marketing research department for a computer company used a large city to test market their new product. They found that the relationship between the price p (in dollars) and the demand a (in number of items) was given by p = 1149 – 0.13z?.
The marketing research department for a computer company used a large city to test market their new product. They found that the relationship between the price p (in dollars) and the demand a (in number of items) was given by p = 1149 – 0.13z?.
Transcribed Image Text:The marketing research department for a computer company used a large city to test market their new product. They found that the relationship between the price \( p \) (in dollars) and the demand \( x \) (in number of items) was given by
\[ p = 1149 - 0.13x^2. \]
1. **Find \( R(x) \), the revenue function.**
\[
R(x) = \_\_\_\_\_\_\_\_
\]
2. **(A) Find the domain of \( R(x) \).**
- **Domain:** \_\_\_\_\_\_\_\_
- **(A) Find the \( x \)-values of all local maxima of \( R(x) \).** Separate your answers by a comma. If there are none, enter NONE.
- \( x \)-values: \_\_\_\_\_\_\_\_
3. **(B) Find the \( x \)-values of all local minima of \( R(x) \).** Separate your answers by a comma. If there are none, enter NONE.
- \( x \)-values: \_\_\_\_\_\_\_\_
4. **(C) Use interval notation to indicate where \( R(x) \) is concave down.**
- Concave down: \_\_\_\_\_\_\_\_
There are no graphs or diagrams included in the provided image.
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![The marketing research department for a computer company used a large city to test market their new product. They found that the relationship between the price \( p \) (in dollars) and the demand \( x \) (in number of items) was given by
\[ p = 1149 - 0.13x^2. \]
1. **Find \( R(x) \), the revenue function.**
\[
R(x) = \_\_\_\_\_\_\_\_
\]
2. **(A) Find the domain of \( R(x) \).**
- **Domain:** \_\_\_\_\_\_\_\_
- **(A) Find the \( x \)-values of all local maxima of \( R(x) \).** Separate your answers by a comma. If there are none, enter NONE.
- \( x \)-values: \_\_\_\_\_\_\_\_
3. **(B) Find the \( x \)-values of all local minima of \( R(x) \).** Separate your answers by a comma. If there are none, enter NONE.
- \( x \)-values: \_\_\_\_\_\_\_\_
4. **(C) Use interval notation to indicate where \( R(x) \) is concave down.**
- Concave down: \_\_\_\_\_\_\_\_
There are no graphs or diagrams included in the provided image.](https://content.bartleby.com/qna-images/question/4080a4fe-0512-4fb6-8893-eb1ec2a5a8ca/60d5c651-9984-4c80-bd18-dc57f13657b4/6s9mhvn_processed.jpeg)
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