Grain's alternative corporation has a predicted operating income of 80,000. the managerial accountant reported that total variable expenses are 25,000 and its total fixed expenses are 24,000. the company has a unit contribution margin of 20$ on its sole product. calculate the number of units needed to reach the operating income of 80,000.

Number of units needed to reach the operating income of 80,000: 5,200 units

Explanation:

Please find the below for detailed calculations and explanations:

To achieve $80,000 of operating income, denote the number of units needs to be sold is x.

For each unit sold, the incremental in profit will be 20.

Thus, to achieve the profit of 80,000, the amount of x units sold will generate the profit before fixed cost that covers 24,000 fixed cost and 80,000 targeted profit. So, we have:

80,000 + 24,000 = 20x <=> x = 5,200 units.

* For quick calculation purpose, we may apply the formular: Units need to be sold to achieve targeted income = (Fixed cost + targeted income)/ Contribution margin per unit in monetary form.

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