Answer:
955 unit
Explanation:
Data provided in the question:
Selling price per unit = $670
Variable cost per unit = $250
Total fixed costs = $327,600
Income tax rate = 35%
After tax Desired profit = $47,775
Now,
Before tax profit = [ After tax Desired profit ] ÷ [1 - Tax rate ]
= $47,775 ÷ [1 - 0.35 ]
= $73,500
Contribution required = Total fixed costs + Before tax profit
= $327,600 + $73,500
= $401,100
Contribution margin per unit = Selling price per unit - Variable cost per unit
= $670 - $250
= $420
Therefore,
No of unit required to be sold
= [ Contribution required ] ÷ [Contribution margin per unit ]
= $401,100 ÷ 420
= 955 unit
