Given a cost function of C(x)=125x+1500 and a revenue function of R(x)=1500x-1000, calculate the break-even point,

__Calculate the break-even point__Break-even is where C(x) = R(x)

125x+1500 = 1500x-1000

__Subtract 125x from each side of the equation:__125x + 1500 - 125x = 1500x - 1000 - 125x

__Cancelling the 125x on the left side, we get:__1375x - 1000 = 1500

__Now add 1000 to each side:__1375x - 1000 + 1000 = 1500 + 1000

__Cancelling the 1000 on the left side, we get:__1375x = 2500

__Divide each side of the equation by 1375____Cancelling 1375 on the left side, we get:__x =

**8** ← This is the break-even quantity.

__Given the break even quantity x = 8, calculate the break even amount using the revenue function R(x)__R(8) = 1500(8) - 1000

R(8) =

**127**