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What is the break-even level?

Business/Management

ScanSolve AI Answer

Answer

C 100,000 units\text{C } 100,000 \text{ units}

Step-by-step solution

3 steps

To find the break-even level, we need the total fixed costs and the contribution margin per unit.

  1. Calculate the total fixed costs.

    The problem states that fixed costs are \0.40$ per unit at the planned production level of 200,000 units. This means the total fixed costs are constant, regardless of the actual production volume, and are calculated based on this planned level.

    Total Fixed Costs=Fixed Cost per Unit (at planned level)×Planned Production\text{Total Fixed Costs} = \text{Fixed Cost per Unit (at planned level)} \times \text{Planned Production}

    Total Fixed Costs=$0.40 per unit×200,000 units\text{Total Fixed Costs} = \$0.40 \text{ per unit} \times 200,000 \text{ units} Total Fixed Costs=$80,000\text{Total Fixed Costs} = \$80,000

  2. Calculate the contribution margin per unit.

    The contribution margin per unit is the selling price per unit minus the variable cost per unit.

    Contribution Margin per Unit=Selling Price per Unit−Variable Cost per Unit\text{Contribution Margin per Unit} = \text{Selling Price per Unit} - \text{Variable Cost per Unit}

    Contribution Margin per Unit=$2.00−$1.20\text{Contribution Margin per Unit} = \$2.00 - \$1.20 Contribution Margin per Unit=$0.80 per unit\text{Contribution Margin per Unit} = \$0.80 \text{ per unit}

  3. Calculate the break-even level in units.

    The break-even level is the total fixed costs divided by the contribution margin per unit.

    Break-even Level (units)=Total Fixed CostsContribution Margin per Unit\text{Break-even Level (units)} = \frac{\text{Total Fixed Costs}}{\text{Contribution Margin per Unit}}

    Break-even Level (units)=$80,000$0.80 per unit\text{Break-even Level (units)} = \frac{\$80,000}{\$0.80 \text{ per unit}}

    Break-even Level (units)=100,000 units\text{Break-even Level (units)} = 100,000 \text{ units}

    The break-even level is 100,000 units, which corresponds to option C.

    The final answer is C 100,000 units\text{C } 100,000 \text{ units}.

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