To calculate the incremental cash flows from the RGM-7000, we need to determine the additional cash flows generated from operating the machine, accounting for additional revenues, operating costs, depreciation, and taxes.
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Calculate Annual Depreciation: \[ \text{Annual Depreciation} = \frac{\text{Cost of RGM-7000}}{\text{Life of RGM-7000}} = \frac{15,000,000}{18} \approx 833,333.33 \]
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Calculate Pre-Tax Income: \[ \text{Pre-Tax Income} = \text{Additional Revenues} - \text{Increased Operating Costs} - \text{Annual Depreciation} \] \[ \text{Pre-Tax Income} = 2,820,000 - 725,225 - 833,333.33 \approx 1,261,441.67 \]
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Calculate Taxes: \[ \text{Taxes} = \text{Pre-Tax Income} \times \text{Tax Rate} \] \[ \text{Taxes} = 1,261,441.67 \times 0.30 \approx 378,432.50 \]
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Calculate Net Income: \[ \text{Net Income} = \text{Pre-Tax Income} - \text{Taxes} \] \[ \text{Net Income} = 1,261,441.67 - 378,432.50 \approx 882,909.17 \]
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Calculate Incremental Cash Flows (Adding Back Depreciation): Since depreciation is a non-cash expense, we need to add it back to the net income to obtain the incremental cash flows: \[ \text{Incremental Cash Flows} = \text{Net Income} + \text{Annual Depreciation} \] \[ \text{Incremental Cash Flows} = 882,909.17 + 833,333.33 \approx 1,716,242.50 \]
The incremental cash flows produced by the RGM-7000 are approximately $1,716,242.50 per year.