a)contribution per unit =Total contribution /number of units
= 810000 /900
= $ 900 per unit
Breakeven point (units) =Fixed cost /contribution per unit
= 495000 / 900
= 550 units
b)
Contribution (900*1050) | 945000 |
less:Fixed cost | -495000 |
Operating income | 450000 |
less:Tax expense (450000*40%) |
(180000) |
After tax profit | 270000 |
c)
Increase in sales commission per unit (increase in variable cost )will result in decrease in contribution margin per unit = 900 - 50 =$ 850 per unit
Revised fixed cost = 495000 + 123000= 618000
Before tax profit = after tax profit /(1-t-ax rate)
= 189000/(1-.40)
= 315000
Desired units to be sold = [Before tax profit + Revised fixed cost ]/contribution per unit
= [315000 +618000]/850
= 933000/850
= 1098 units
d)
Decrease in variable cost will result in Increase in contribution margin per unit = 900+ 50 =$ 950 per unit
Revised fixed cost = 495000 + 117000 = 612000
Breakeven point = fixed cost /Contribution per unit
= 612000/ 950
= 644.21 (rounded to 644 units or 645 if needs to be rounded to next of decimal place)
e)Current selling price = 1800000/900=2000 per unit
revised selling price = 2000(1-.10 )= 1800
Variable cost per unit= 990000/900= 1100
Revised variable cost per unit = 1100+80 = 1180
Revised contribution per unit = 1800-1180= 620
Contribution margin ratio =Revised contribution per unit /revised selling price
= 620 /1800
= .34444
Dollar sales required to achieve desired profit =[Before tax profit +fixed cost ]/CM ratio
= [315000+495000]/.34444
= 810000/.34444
= $ 2351643.25 (rounded to 2351643)
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