Question
Jamal bakes cookies and sells them at a local market. He uses the equation
P = 3n − (1.2n + 20)
to determine his total profit, in dollars, when he sells n batches of cookies.
What are Jamal's fixed costs?
P = 3n − (1.2n + 20)
to determine his total profit, in dollars, when he sells n batches of cookies.
What are Jamal's fixed costs?
Answers
GPT-4o mini
To determine Jamal's fixed costs from the equation for total profit \( P \), we can simplify the equation given:
\[
P = 3n - (1.2n + 20)
\]
First, let's distribute the negative sign:
\[
P = 3n - 1.2n - 20
\]
Now, combine like terms:
\[
P = (3n - 1.2n) - 20 = 1.8n - 20
\]
In this equation, \( P \) represents the total profit, \( 1.8n \) represents the variable profit depending on the number of batches sold, and \(-20\) represents the fixed costs.
Therefore, Jamal's fixed costs are **$20**.
\[
P = 3n - (1.2n + 20)
\]
First, let's distribute the negative sign:
\[
P = 3n - 1.2n - 20
\]
Now, combine like terms:
\[
P = (3n - 1.2n) - 20 = 1.8n - 20
\]
In this equation, \( P \) represents the total profit, \( 1.8n \) represents the variable profit depending on the number of batches sold, and \(-20\) represents the fixed costs.
Therefore, Jamal's fixed costs are **$20**.