The weekly revenue of a business selling gummy bear bags is a function of price. Weekly revenue is $12,500 when the price is $2.50 but is $10,880 when the price is $3.40 Find a quadratic model that fits this information. Also know that the revenue is $0 if the price is $0. Let p = the price of a bag of gummy bears. Then: Revenue = R(p) = %3D

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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**Understanding Quadratic Models in Business Revenue**

The weekly revenue of a business selling gummy bear bags is a function of the price per bag. Given the following data points:

1. Weekly revenue is $12,500 when the price is $2.50.
2. Weekly revenue is $10,880 when the price is $3.40.

We aim to find a quadratic model that accurately represents this relationship. Additionally, it's important to note that the revenue is $0 if the price of the gummy bears is $0.

Let \( p \) be the price of a bag of gummy bears. Then:

\[ \text{Revenue} = R(p) = \boxed{} \]

By establishing a quadratic equation that fits the given data, we can predict the revenue based on different prices, helping the business optimize its pricing strategy for maximum revenue.
Transcribed Image Text:**Understanding Quadratic Models in Business Revenue** The weekly revenue of a business selling gummy bear bags is a function of the price per bag. Given the following data points: 1. Weekly revenue is $12,500 when the price is $2.50. 2. Weekly revenue is $10,880 when the price is $3.40. We aim to find a quadratic model that accurately represents this relationship. Additionally, it's important to note that the revenue is $0 if the price of the gummy bears is $0. Let \( p \) be the price of a bag of gummy bears. Then: \[ \text{Revenue} = R(p) = \boxed{} \] By establishing a quadratic equation that fits the given data, we can predict the revenue based on different prices, helping the business optimize its pricing strategy for maximum revenue.
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