Question

Question 7 of 10
The revenue from selling x shirts is f(x) = 11x.
The cost of buying x shirts is c(x) = 6x + 20.
The profit from selling x shirts is p(x) = (x) - c(x).
What is p(x)?
Studio

Answer 1

To find the profit function \( p(x) \), we start with the definition of profit, which is given as:

\[
p(x) = \text{Revenue} - \text{Cost}
\]

From the problem, we have:

- Revenue from selling \( x \) shirts:
\[
f(x) = 11x
\]

- Cost of buying \( x \) shirts:
\[
c(x) = 6x + 20
\]

Now we can substitute these functions into the profit equation:

\[
p(x) = f(x) - c(x) = 11x - (6x + 20)
\]

Now, simplify the expression:

\[
p(x) = 11x - 6x - 20
\]
\[
p(x) = 5x - 20
\]

Thus, the profit function is:

\[
p(x) = 5x - 20
\]