### Performance Task: Pricing and Profit Analysis at Bluebird BakeryThe Bluebird Bakery sells more alfajores when it lowers its prices, but this also affects profits. ### Profit FunctionThe 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 AidThere 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?

Answered: Image /qna-images/answer/30a9428f-c216-4939-a392-e168260b3256.jpg

ation = the 38. Performance Task The Bluebird Bakery sells more alfajores when it lowers its prices, but this also changes profits. $0.75-each 40&ea. The profit function for the alfajores is 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 wants to maximize their profits. Part A What is the domain of the function? Part B Find the daily profits for selling alfajores for $0.40 each and for $0.75 each.

ation = the 38. Performance Task The Bluebird Bakery sells more alfajores when it lowers its prices, but this also changes profits. $0.75-each 40&ea. The profit function for the alfajores is 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 wants to maximize their profits. Part A What is the domain of the function? Part B Find the daily profits for selling alfajores for $0.40 each and for $0.75 each.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

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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Question

### 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?

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