Answer:
[tex]BEP_{dollars} = 500,000 [/tex]
Explanation:
The first step will be get the contribtuion margin:
[tex]Sales\: Revenue - Variable \:Cost = Contribution \:Margin[/tex]
800,000 - 6000,000 = 200,000
This is the amount after variables cost used to pay the fixed cost and make a gain.
Second, we calcualte the contribution margin ratio
[tex]\frac{Contribution \:Margin}{Sales\: Revenue} = Contribution\: Margin\: Ratio[/tex]
200,000/800,000 = 0.25
Per dollar of sales 25 cents are available to pay the fixed cost.
Now, we calculate the break even point in dollars
[tex]\frac{Fixed\:Cost}{Contribution\: Margin \:Ratio} = Break\: Even\: Point_{dollars}[/tex]
[tex]\frac{125,000}{.025} = 500,000[/tex]