Consider the following cases: |
Case | Unit Price | Unit Variable Cost |
Fixed Costs | Depreciation |
1 | $ 3,000 | $ 2,220 | $ 15,000,000 | $ 5,400,000 |
2 | 40 | 28 | 15,000 | 36,000 |
3 | 8 | 3.4 | 800 | 560 |
Ignore any tax effects in calculating the cash break-even. |
1a. Calculate the cash break-even point of Case 1. |
1b. Calculate the accounting break-even point of Case 1. |
2a. Calculate the cash break-even point of Case 2. |
2b. Calculate the accounting break-even point of Case 2. |
3a. Calculate the cash break-even point of Case 3. |
3b. Calculate the accounting break-even point of Case 3. |
Cash Break Even Point = [ Fixed Cost ] / [ Sale Price - Variable Cost ]
Account Break Even Point = [ Fixed Cost + Depreciation ] / [ Sale Price - Variable Cost ]
Part 1A:
Cash Break Even Point = [ Fixed Cost ] / [ Sale Price - Variable Cost ]
= $ 15,000,000 / [ $ 3000 - $2220 ]
= $ 15,000,000 / $ 780
= 19231
Part 1B
Account Break Even Point = [ Fixed Cost + Depreciation ] / [ Sale Price - Variable Cost ]
= [ $ 15,000,000 + $5,400,000] / [ $ 3000 - $2220 ]
= $ 20,400,000 / $ 780
= 26154
Part 2A:
Cash Break Even Point = [ Fixed Cost ] / [ Sale Price - Variable Cost ]
= $ 15,000 / [ $ 40 - $28 ]
= $ 15,000 / $ 12
= 1250
Part 2B
Account Break Even Point = [ Fixed Cost + Depreciation ] / [ Sale Price - Variable Cost ]
= [ $ 15,000 + $36,000 ] / [ $ 40 - $28]
= $ 51,000 / $ 12
= 4250
Part 3A:
Cash Break Even Point = [ Fixed Cost ] / [ Sale Price - Variable Cost ]
= $ 800 / [ $ 8 - $ 3.4 ]
= $ 800 / $ 4.6
= 174
Part 2B
Account Break Even Point = [ Fixed Cost + Depreciation ] / [ Sale Price - Variable Cost ]
= [ $ 800 + $ 560 ] / [ $ 8 - $ 3.4]
= $ 1360 / $ 4.6
= 296
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intermediate calculations and round your answers to 2 decimal
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