Answer:
Current sales level:
Breakeven in units 7600 units
Breakeven $ $402,800
Margin of safety is $53,000
When changes occured:
Breakeven in units 8,426 units
Breakeven $ $424,249
Margin of safety is $95,363
Step-by-step explanation:
Breakeven in units=fixed expenses/contribution margin per unit
Fixed expenses is $205,428
contribution margin per unit is $27.03
breakeven in units=$205,428/$27.03=7600 units
Breakeven in $=breakeven in units *selling price per unit
=7600*$53=$402,800
Margin of safety=Actual sales-breakeven in units
=8600-7600=1000
margin safety in $=$53*1000=$53,000
If the changes are considered,the revised figures are computed thus:
Reduced selling price=$53*(1-5%)=$50.35
increased sales units=8600*(1+20%)=10,320 units
Breakeven in units=fixed expenses/contribution margin per unit
Fixed expenses is $205,428
contribution margin per unit is =$50.35-$25.97=$24.38
breakeven in units=$205,428/$24.38 = 8,426 units
Breakeven in $=breakeven in units *selling price per unit
= 8,426*$50.35=$424,249
Margin of safety=Actual sales-breakeven in units
=10,320-8,426=1894 units
margin safety in $=$50.35*1894 =$95,362.9