In: Accounting
Please answer the whole question not partial.
Mod Inc. sells parts for $150 each. Fixed costs are $2,500 per year and variable costs are $100 per unit. If the initial investment is $15,000 and is expected to last for 10 years and the firm pays 30% taxes, what is the accounting and economic break-even level of sales respectively? The initial investment will be depreciated straight-line over 10 years to a final value of zero, and the discount rate is 10%. PLEASE USE EXCEL -SHOW FORMULAS & WORK. THANK YOU!
Solution: | |||||||||
Initial Investment = $15,000 | |||||||||
Life of Investment = 10 years. | |||||||||
Depreciation on investment = $15,000/10 = $1,500 per year. | |||||||||
Contrybution Per unit = Sales price - Variabale cost = $150 - $100 = $50 | |||||||||
Accounting Breakeven = (Fixed cost + Depreciation) / contrybution Per unit | |||||||||
= ($2,500 + $1,500)/$50 | |||||||||
= $80 | |||||||||
Operating Cash flows = Intial Invetament / PVAF | |||||||||
= $15,000 / (10% , 10 years ) | |||||||||
= $ 15,000 / 6.1446 | |||||||||
= $2,441.17 | |||||||||
Operating Cash Flows = (Economic Breakeven * contrybution per unit - Fixed cost * (1 - Tax rate)+ | |||||||||
Tax rate * Depreciation) | |||||||||
$2,441.17 = ( X * $50 - $2,500 *(1 - 0.30) + 0.30 *$1,500 ) | |||||||||
$2,441.17 = ( X * $50 - $2,500 * 0.70 + $450) | |||||||||
$1,991.17 = (X *$50 - $2,500 )*0.70 | |||||||||
$2,844.53 = (X * $50 - $2,500) | |||||||||
$5,344.53 = (X * $50) | |||||||||
Economic Breakeven = $5,344.53 / $50 = $106.89 | |||||||||
Please upvote , if found the answer useful. | |||||||||
For any clarification, Feel free to comment. |