The profit of a company is obtained by subtracting its cost...

The profit of a company is obtained by subtracting its cost from its revenue. In Exercises 87 and $88, R(x)$ represents the company's revenue when selling $x$ items and $C(x)$ represents the company's cost when producing $x$ items. a) Determine a profit function $P(x)$. b) Evaluate $P(x)$ when $x=100$.$R(x)=5.5 x^{2}-80.3 x$ $C(x)=1.2 x^{2}+16.3 x+12,040.6$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Polynomial Functions

Polynomial functions, which consist of terms with variables raised to whole number exponents, are used to model both revenue and cost in many financial applications. Understanding polynomials helps in analyzing and predicting trends in data.

Function Evaluation

Function evaluation refers to the process of substituting a specific value for the variable in a function to obtain a numerical result. This technique is critical when determining specific outcomes, such as calculating profit for a given number of items produced or sold.

Profit Function

The profit function is a mathematical expression that represents a company's profit by subtracting its cost from its revenue. This concept is fundamental in business mathematics for analyzing the financial outcome based on production and sales levels.

Function Operations

Subtracting one function from another involves performing algebraic operations like combining like terms, which is essential for constructing new functions that describe relationships between different quantities. This skill is crucial across various areas of algebra.

Transcript

Please give Ace some feedback