The total cost, in dollars, to produce bins of cat food is given by C = 15x + 23400. The revenue, in dollars, is R = -2x² +505x. Find the profit. (Recall that profit is revenue minus cost.) P At what quantity is the smallest break-even point? In other words, how many bins of cat food, x, must be produced and sold to make the profit equal to zero? Select an answer Select an answer grams of cat food servings of cat food dollars bins of cat food
The total cost, in dollars, to produce bins of cat food is given by C = 15x + 23400. The revenue, in dollars, is R = -2x² +505x. Find the profit. (Recall that profit is revenue minus cost.) P At what quantity is the smallest break-even point? In other words, how many bins of cat food, x, must be produced and sold to make the profit equal to zero? Select an answer Select an answer grams of cat food servings of cat food dollars bins of cat food
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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### Cost and Revenue Analysis for Cat Food Production
**Cost Function**
The total cost, in dollars, to produce \( x \) bins of cat food is given by:
\[ C = 15x + 23400 \]
**Revenue Function**
The revenue, in dollars, is:
\[ R = -2x^2 + 505x \]
**Profit Calculation**
To find the profit, recall that profit is revenue minus cost. Therefore, the profit \( P \) is calculated as:
\[ P = R - C \]
**Break-even Analysis**
To determine the smallest break-even point, find the quantity at which the profit is equal to zero. In other words, solve for \( x \) in the equation \( P = 0 \).
**Question**
At what quantity is the smallest break-even point? In other words, how many bins of cat food, \( x \) , must be produced and sold to make the profit equal to zero?
**Answer Options**
- grams of cat food
- servings of cat food
- dollars
- bins of cat food
---
**Image Description:**
This image contains the text mentioned above, accompanied by a picture of a cat. There is also a drop-down menu allowing users to select an answer for the unit of measurement corresponding to the break-even quantity.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F661e79ee-05f0-4794-8531-9b5261a2e126%2Fd83668df-fe0c-4c29-8d2b-86db2e98e60f%2Fodedecs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Cost and Revenue Analysis for Cat Food Production
**Cost Function**
The total cost, in dollars, to produce \( x \) bins of cat food is given by:
\[ C = 15x + 23400 \]
**Revenue Function**
The revenue, in dollars, is:
\[ R = -2x^2 + 505x \]
**Profit Calculation**
To find the profit, recall that profit is revenue minus cost. Therefore, the profit \( P \) is calculated as:
\[ P = R - C \]
**Break-even Analysis**
To determine the smallest break-even point, find the quantity at which the profit is equal to zero. In other words, solve for \( x \) in the equation \( P = 0 \).
**Question**
At what quantity is the smallest break-even point? In other words, how many bins of cat food, \( x \) , must be produced and sold to make the profit equal to zero?
**Answer Options**
- grams of cat food
- servings of cat food
- dollars
- bins of cat food
---
**Image Description:**
This image contains the text mentioned above, accompanied by a picture of a cat. There is also a drop-down menu allowing users to select an answer for the unit of measurement corresponding to the break-even quantity.
---
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