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Suppose you invest $105,000 today that will result in sales of 1000units in year 1 and 1500 units in year 2. Sales price and variable costs are$400 and $225 per unit respectively while fixed costs are $125,000 peryear. If depreciation is calculated straight-lineover three years ($105,000/3) and the tax rate is 34%, what isthe cash flow for the project in year 2?$90,750$102,650$126,450$137,500$149,400

Question

Suppose you invest 105,000todaythatwillresultinsalesof1000unitsinyear1and1500unitsinyear2.Salespriceandvariablecostsare105,000 today that will result in sales of 1000units in year 1 and 1500 units in year 2. Sales price and variable costs are400 and 225perunitrespectivelywhilefixedcostsare225 per unit respectively while fixed costs are 125,000 peryear. If depreciation is calculated straight-lineover three years (105,000/3)andthetaxrateis34105,000/3) and the tax rate is 34%, what isthe cash flow for the project in year 2?90,750102,650102,650126,450137,500137,500149,400

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Solution

To calculate the cash flow for the project in year 2, we need to follow these steps:

  1. Calculate the total sales: 1500 units * 400/unit=400/unit = 600,000
  2. Calculate the total variable costs: 1500 units * 225/unit=225/unit = 337,500
  3. Subtract the variable costs from the sales to get the gross profit: 600,000600,000 - 337,500 = $262,500
  4. Subtract the fixed costs from the gross profit: 262,500262,500 - 125,000 = $137,500
  5. Calculate the depreciation: 105,000/3=105,000 / 3 = 35,000
  6. Subtract the depreciation from the result in step 4 to get the taxable income: 137,500137,500 - 35,000 = $102,500
  7. Calculate the tax: 102,50034102,500 * 34% = 34,850
  8. Subtract the tax from the taxable income to get the net income: 102,500102,500 - 34,850 = $67,650
  9. Add back the depreciation to the net income to get the cash flow: 67,650+67,650 + 35,000 = $102,650

So, the cash flow for the project in year 2 is $102,650.

This problem has been solved

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