A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at $11 the average attendance has been 23000. When the price dropped to $8, the average attendance rose to 26000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Maximizing Revenue for a Baseball Game**

A baseball team plays in a stadium that holds 52,000 spectators. Historically, the average attendance has been 23,000 when the ticket price is set at $11. When the ticket price is reduced to $8, the average attendance increases to 26,000. Assume that attendance is linearly related to ticket price.

**Objective:** Determine the ticket price that would maximize the revenue.

**Question:** What ticket price would maximize revenue? 
**Answer:** $ ___

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For further assistance, you can watch this [**helpful video**](#) related to maximizing revenue with linear relationships.

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**Explanation for Graph/Diagram:**
While there is no graph or diagram provided in this example, one could visualize the relationship between ticket price and attendance using a line graph. The X-axis would represent the ticket price, while the Y-axis would represent the average attendance. By plotting the points (11, 23,000) and (8, 26,000), one could draw a line to represent the linear relationship and use it to find the optimal ticket price for maximum revenue.
Transcribed Image Text:**Maximizing Revenue for a Baseball Game** A baseball team plays in a stadium that holds 52,000 spectators. Historically, the average attendance has been 23,000 when the ticket price is set at $11. When the ticket price is reduced to $8, the average attendance increases to 26,000. Assume that attendance is linearly related to ticket price. **Objective:** Determine the ticket price that would maximize the revenue. **Question:** What ticket price would maximize revenue? **Answer:** $ ___ --- For further assistance, you can watch this [**helpful video**](#) related to maximizing revenue with linear relationships. --- **Explanation for Graph/Diagram:** While there is no graph or diagram provided in this example, one could visualize the relationship between ticket price and attendance using a line graph. The X-axis would represent the ticket price, while the Y-axis would represent the average attendance. By plotting the points (11, 23,000) and (8, 26,000), one could draw a line to represent the linear relationship and use it to find the optimal ticket price for maximum revenue.
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