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 xx where the revenue equals the cost. So, we set R(x)=C(x)R(x) = C(x).

Step 2: Solve for x

We have the equation 28x=5x+34528x = 5x + 345. Subtract 5x5x from both sides: 28x−5x=34528x - 5x = 345 23x=34523x = 345 Divide both sides by 23: x=34523x = \frac{345}{23} x=15x = 15

Final Answer

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

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