Solution :
a. The operating breakeven point is calculated as follows :
= ( Total fixed operating costs / Contribution per unit )
= Total fixed operating costs / ( Selling price per unit - Variable cost per unit )
As per the data given in the question
Total fixed operating costs = $ 150,000
Selling price per unit = $ 150
Variable cost per unit = $ 110
Thus the firm's break even point in units = $ 150,000 / ( $ 150 - $ 110 )
= $ 150,000 / $ 40
= 3,750 units
b. Firm's breakeven point in sales dollars :
The break even point of the firm in sales dollars is calculated as follows:
Breakeven point in sales = Total operating fixed expenses / contribution margin ratio
Contribution margin ratio = [ ( Selling price per unit - Variable cost per unit ) / Selling price per unit ] *100
Thus Contribution margin ratio for the firm = [ ( $ 150 - $ 110 ) / $ 150 ] * 100
= ( $40 / $ 150 ) * 100 = 26.66666 %
Thus break even point in sales dollars = $ 150000 / 26.66666 % = $ 150000 / 0.2666666
= $ 562,500
Thus the firm's operating break even point in units = 3750 units
The Firm's breakeven point in sales dollars = $ 562,500
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