**Problem Statement:** Determine the profit function for the given revenue and cost functions. **Revenue Function:** \[ R(x) = 140x \] **Cost Function:** \[ C(x) = 78.5x + 10,455 \] **Profit Function:** \[ P(x) = \boxed{} \] Determine the break-even point. **Break-Even Point:** \[ x = \boxed{} \] **Explanation:** To find the profit function \( P(x) \), subtract the cost function \( C(x) \) from the revenue function \( R(x) \): \[ P(x) = R(x) - C(x) \] To determine the break-even point, solve for \( x \) when the profit function \( P(x) = 0 \). This is the point where total revenue equals total cost.
**Problem Statement:** Determine the profit function for the given revenue and cost functions. **Revenue Function:** \[ R(x) = 140x \] **Cost Function:** \[ C(x) = 78.5x + 10,455 \] **Profit Function:** \[ P(x) = \boxed{} \] Determine the break-even point. **Break-Even Point:** \[ x = \boxed{} \] **Explanation:** To find the profit function \( P(x) \), subtract the cost function \( C(x) \) from the revenue function \( R(x) \): \[ P(x) = R(x) - C(x) \] To determine the break-even point, solve for \( x \) when the profit function \( P(x) = 0 \). This is the point where total revenue equals total cost.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Problem Statement:**
Determine the profit function for the given revenue and cost functions.
**Revenue Function:**
\[ R(x) = 140x \]
**Cost Function:**
\[ C(x) = 78.5x + 10,455 \]
**Profit Function:**
\[ P(x) = \boxed{} \]
Determine the break-even point.
**Break-Even Point:**
\[ x = \boxed{} \]
**Explanation:**
To find the profit function \( P(x) \), subtract the cost function \( C(x) \) from the revenue function \( R(x) \):
\[ P(x) = R(x) - C(x) \]
To determine the break-even point, solve for \( x \) when the profit function \( P(x) = 0 \). This is the point where total revenue equals total cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d79c4c-40ce-427b-b4a0-26ffd9f423cd%2Fbeb01360-34f1-4bf8-b347-0ad50ce06c2a%2Fatxb23a_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the profit function for the given revenue and cost functions.
**Revenue Function:**
\[ R(x) = 140x \]
**Cost Function:**
\[ C(x) = 78.5x + 10,455 \]
**Profit Function:**
\[ P(x) = \boxed{} \]
Determine the break-even point.
**Break-Even Point:**
\[ x = \boxed{} \]
**Explanation:**
To find the profit function \( P(x) \), subtract the cost function \( C(x) \) from the revenue function \( R(x) \):
\[ P(x) = R(x) - C(x) \]
To determine the break-even point, solve for \( x \) when the profit function \( P(x) = 0 \). This is the point where total revenue equals total cost.
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