Question 6: The following company provides a single product and have provided their summary forecast data shown below relating to its product for 2020.
Selling price per unit |
$55 |
Variable manufacturing costs |
$23 |
Annual fixed manufacturing costs |
$450000 |
Variable, marketing, distribution and administration costs |
$9 |
Annual fixed non-manufacturing costs |
$229000 |
Annual volume |
50000 |
a. Calculate the contribution margin per unit.
b. Calculate the contribution margin ratio.
c. Calculate the break-even in units and sales dollars for 2020.
d.Calculate the profit earned in 2020.
Contribution Margin per unit = Sales price - Variable costs = 55 - (23+9) = 23 |
Contribution margin ratio = Contribution margin per unit/Sales price = 23/55 = 41.82% |
Breakeven units = Fixed cost/Contribution margin per unit = (450,000+229,000)/23 = 29,522 units (rounded) Breakeven dollars = Fixed cost/Contribution margin ratio = (450,000+229,000)/41.82% = 1,623,625 (rounded) |
Profit earned = (Sales * Contribution margin per unit) - Fixed costs = (50,000*23) - (450,000+229,000) = 471,000 |
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