As the leas cost engineer for the XYZ Services Company, you have been requested to...

To calculate the total sales volume needed to achieve a target net profit of $480, we first find the total required contribution margin:

Required Contribution Margin=Fixed Costs+Target Net Profit=6,000+480=6,480\text{Required Contribution Margin} = \text{Fixed Costs} + \text{Target Net Profit} = 6,000 + 480 = 6,480Required Contribution Margin=Fixed Costs+Target Net Profit=6,000+480=6,480

Using the contribution margin per unit of $0.10, we calculate the required sales volume:

Required Sales Units=6,4800.10=64,800 units\text{Required Sales Units} = \frac{6,480}{0.10} = 64,800 \text{ units}Required Sales Units=0.106,480​=64,800 units

Then, multiply by the unit sale price:

Total Sales Volume=64,800×0.50=$32,400\text{Total Sales Volume} = 64,800 \times 0.50 = \$32,400Total Sales Volume=64,800×0.50=$32,400

Therefore,$32,400is the required sales volume to achieve a target net profit of $480.