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Answer:
The required sales in dollars are $615,300.
Explanation:
Variable costs increase and decrease with sales, if your sales rise, the variable costs will rise too. Yet, the contribution marginal remains equal. It is calculated as [tex](Sales - Variable.costs)/Sales[/tex]. Another form to express that equation is [tex]Sales/Sales - Variable.costs/Sales[/tex]. Sales/sales is equal to 1, and variable costs/sales is 0.60. So, the contribution margin is equal to 40%, or $0.4 per each dollar of sales.
Then, in order to calculate how much sales you need to pay the fixed costs, you need this equation [tex]177,600/0,4 = 444,000[/tex]. That means that you need $444,000 of sales to cover the fixed costs.
The same calculation is used to obtain the sales needed to achieve the target net income: [tex]68,520/0,4 = 171,300[/tex].
If you add the two results, then you obtain that you need [tex]444,000 + 171,300 = 615,000[/tex] dollars of sales to achieve the target net income of $68,520.
The sales that would be needed to achieve net income or profit of $68,520 is $615,300.
What is contribution margin approach?
A contribution margin approach is used to calculate the percentage of contribution margin on sales and can be used to compute sales. The contribution margin can be calculated as:
[tex]\rm Contribution\:margin = Sales - Variable\:cost[/tex]
The percentage of contribution margin can be calculated as:
[tex]\rm Percentage\:of\:contribution\:margin = \dfrac{Contribution\:margin}{Sales}\times 100[/tex]
The sales required to earn a specific contribution margin can be calculated as:
[tex]\rm Sales = \dfrac{Fixed \:cost +Net \:income}{Contribution\:margin \:\%}[/tex]
Given:
Desired net income is $68,520.
Fixed costs are $177,600.
Variable costs are 60% of sales.
Therefore the contribution margins are 40%.
The sales to reach the targeted net income will be:
[tex]\rm Sales = \dfrac{Fixed \:cost +Net \:income}{Contribution\:margin \:\%}\\\\\rm Sales = \dfrac{\$177,600 +\$68,520}{40\%}\\\\\rm Sales = \dfrac{\$246,120}{40\%}\\\\\rm Sales = \$615,300[/tex]
Therefore the sales will be $615,300.
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