how do you find the break-even point for like this example

C=$0.20x+$50 R=$0.30x ??

What are C and R? I am not certain, but is this what you were seeking?

.20x + 50 = .30x (?)

yeah that's what im seeking. so you just solve the equation right? i've got that already. just wasn't sure

To find the break-even point, we need to set the cost equal to the revenue since at this point, costs and revenue are equal.

In this example, the cost equation is given as C = $0.20x + $50, where x represents the quantity sold.
And the revenue equation is given as R = $0.30x.

Now, let's set the cost equation equal to the revenue equation:

$0.20x + $50 = $0.30x.

Next, we can solve for x, which represents the quantity of items that need to be sold to reach the break-even point.

To do this, we can start by isolating the x term on one side of the equation. Let's subtract $0.20x from both sides:

$50 = $0.10x.

Now, divide both sides by $0.10 to solve for x:

x = $50 ÷ $0.10.

Simplifying this equation, we get:

x = 500.

Therefore, the break-even point for this example is x = 500, meaning 500 items need to be sold to cover the costs and revenue will be equal.