In: Accounting
Required:
a. Compute total fixed costs.
b. Compute total variable costs.
c. Compute the break‑even point in units.
d. Compute the quantity of units above breakeven to reach targeted net income before taxes.
Answer:
Given data:
Selling price per unit | Php80 |
Variable cost per unit | Php47.5 |
Sales volume | Php776,000 |
Net income before taxes | Php100,750 |
Number of units sold = Sales volume / selling price per unit = 776,000 / 80 = 9,700 units
a. Calculation of total fixed costs
Workings | Amount(Php) | |
Sales | (given in the question) | 776,000 |
Less: total variable costs |
Total variable costs = Number of units sold*variable cost per unit =9,700*47.5 |
(460,750) |
Contribution margin | Sales - variable costs | 315,250 |
Less total fixed cost | ? | |
Net income before taxes |
Contribution margin - total fixed costs (given in the question) |
100,750 |
Net income before taxes = contribution margin - total fixed costs
= 100,750 = 315,250 - total fixed costs
so, total fixed costs = contribution margin - net income = 315,250 - 100,750 = Php214,500
b. Total Variable costs
Total variable costs = number of units sold * variable cost per unit
= 97,00*47.5 = Php460,750
c. Break-even point in unit
Break-even point in units = total fixed costs / contribution margin per unit
Total fixed cost is already calculated = Php214,500
Contribution margin per unit = selling price per unit - variable cost per unit
= 80 - 47.5 = Php32.5
Now, break-even point = 214,500 / 32.5 = 6,600 units
d.The quantity of units above break-even to achieve target net income before taxes
current net income before taxes = Php100,750
Number of units sold to get this income(already calculated) = 9,700 units
Break - even point(units) = 6,600 units
So, quantity of units above break-even to reach this income = Number of units sold - break even units
= 9,700 - 6,600 = 3,100 units(this is also called margin of safety in units).