Answer:
The current values for BEp and margin of safety before the proposed changes are:
BEP units: 7,800
in dollars: $ 358,800
Margin of safety:
2,200 units or $ 101,200 of sales
Explanation:
The break even pont is the level of salesthat makes the operating income equal to zero. the margin of safety is the amount above this level at curernt sales.
[tex]Sales \: Revenue - Variable \: Cost = Contribution \: Margin[/tex]
Contribution per unit: $23
Fixed Cost $179,400
[tex]\frac{Fixed\:Cost}{Contribution \:Margin \:Ratio} = Break\: Even\: Point_{dollars}[/tex]
179,400 / 23 = 7,800
In dollars: 7,800 units x $46 each = $ 358,800
Margin of safety:
10,000 - 7,800 = 2,200
in dollars 460,000 - 358,800 = 101,200