Question

current objective use systems of equations to investigate profits switch question if cost is represented by $c(x)=1.8x + 10000$ and revenues are represented by $r(x)=8.5x$, which equation could be used to find the break - even point? select the correct answer below: $6.7x = 1.8x+10000$ $6.7x=-10000$ $8.5x = 1.8x - 10000$ $10.3x = 10000$ $8.5x = 1.8x + 10000$

Explanation:

Step1: Recall break - even point concept

At break - even point, cost equals revenue.

Step2: Set up the equation

Since $C(x)=1.8x + 10000$ and $R(x)=8.5x$, we set $R(x)=C(x)$. So, $8.5x=1.8x + 10000$.

Answer:

E. $8.5x = 1.8x + 10,000$