Questions: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers with a comma.
R(x)=28x
C(x)=5x+345
Transcript text: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers with a comma.
\[
\begin{array}{l}
R(x)=28 x \\
C(x)=5 x+345
\end{array}
\]
Answer
Solution
Solution Steps
Step 1: Set up the equation
To find the break-even point, we need to find the value of \(x\) where the revenue equals the cost. So, we set \(R(x) = C(x)\).
Step 2: Solve for x
We have the equation \(28x = 5x + 345\).
Subtract \(5x\) from both sides:
\(28x - 5x = 345\)
\(23x = 345\)
Divide both sides by 23:
\(x = \frac{345}{23}\)
\(x = 15\)