Question

if cost is represented by $c(x)=2.8x + 100,000$ and revenues are represented by $r(x)=5.3x$, which equation could be used to find the break - even point? select the correct answer below: $8.1x = 100,000$ $2.5x = 100,000$ $5.3x = 100,000$ $2.5x=-100,000$ $8.1x=-100,000$

Explanation:

Step1: Recall break - even formula

At break - even, $C(x)=R(x)$.

Step2: Set cost equal to revenue

$2.8x + 100000=5.3x$.

Step3: Rearrange the equation

Subtract $2.8x$ from both sides: $100000 = 5.3x-2.8x$.

Step4: Simplify the right - hand side

$5.3x - 2.8x=2.5x$, so $2.5x = 100000$.

Answer:

B. $2.5x = 100,000$