AACE International CCP Exam With Confidence Using Practice Dumps

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.

To calculate the annual rate of return on the investment, you can use the formula for the compound annual growth rate (CAGR):

CAGR=(FVPV)1n−1\text{CAGR} = \left(\frac{FV}{PV}\right)^{\frac{1}{n}} - 1CAGR=(PVFV​)n1​−1

Where:

FVFVFV is the future value ($6,000)

PVPVPV is the present value ($3,000)

nnn is the number of years (8 years)

CAGR=(60003000)18−1≈(2)18−1≈0.091or9.1%\text{CAGR} = \left(\frac{6000}{3000}\right)^{\frac{1}{8}} - 1 \approx (2)^{\frac{1}{8}} - 1 \approx 0.091 or 9.1\%CAGR=(30006000​)81​−1≈(2)81​−1≈0.091or9.1%

Straight-line depreciation means that the cost of the asset is evenly spread over its useful life. Given that the grain elevator has a cost of $80,000 and a lifespan of 25 years, the cumulative depreciation at the end of its life span would be the entire initial cost of the asset. Since there is no salvage value, the full $80,000 will be depreciated over 25 years. Thus, the correct answer isD. $80,000.