Question 7 of 10

Question

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)?
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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:

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