Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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### Performance Task: Pricing and Profit Analysis at Bluebird Bakery

The Bluebird Bakery sells more alfajores when it lowers its prices, but this also affects profits. 

### Profit Function

The profit function for the alfajores is given by:

\[ f(x) = -500(x - 0.45)^2 + 400 \]

This function represents the profit earned when the price of an alfajor is \( x \) dollars. The bakery aims to maximize its profits.

### Tasks

**Part A:** What is the domain of the function?

**Part B:** Calculate the daily profits for selling alfajores at prices of $0.40 each and $0.75 each.

### Visual Aid

There is an illustration of a plate with alfajores. There is a price sign showing two options: "$0.75 each"; with another handwritten "$0.40 ea." above it.
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Transcribed Image Text:### Performance Task: Pricing and Profit Analysis at Bluebird Bakery The Bluebird Bakery sells more alfajores when it lowers its prices, but this also affects profits. ### Profit Function The profit function for the alfajores is given by: \[ f(x) = -500(x - 0.45)^2 + 400 \] This function represents the profit earned when the price of an alfajor is \( x \) dollars. The bakery aims to maximize its profits. ### Tasks **Part A:** What is the domain of the function? **Part B:** Calculate the daily profits for selling alfajores at prices of $0.40 each and $0.75 each. ### Visual Aid There is an illustration of a plate with alfajores. There is a price sign showing two options: "$0.75 each"; with another handwritten "$0.40 ea." above it.
### Problem Statement

**Part B**  
Find the daily profits for selling alfajores for $0.40 each and for $0.75 each.

**Part C**  
What price should the bakery charge to maximize their profits from selling alfajores?

**Part D**  
What is the maximum profit?
expand button
Transcribed Image Text:### Problem Statement **Part B** Find the daily profits for selling alfajores for $0.40 each and for $0.75 each. **Part C** What price should the bakery charge to maximize their profits from selling alfajores? **Part D** What is the maximum profit?
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