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

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
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Solution

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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: \(x = \frac{345}{23}\) \(x = 15\)

Final Answer

\\(\boxed{x=15}\\)

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