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Consider the following cases: Case Unit Price 1 $ 6.000 Fixed Costs $ 15,000,000 Depreciation $ 6,600,000 Unit Variable Cost

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Answer #1

Sol:

To determine cash break-even point and accounting break-even point:

Cash break-even point = Fixed cost / (Unit price - Unit variable cost)

Accounting break-even point = (Fixed cost + Depreciation) / (Unit price - Unit variable cost)

Case 1

1a) Cash break-even point = 15,000,000 / (6,000 - 4,500)

Cash break-even point = 15,000,000 / 1,500 = 10000 units

1b) Accounting break-even point = (15,000,000 + 6,600,000) / (6,000 - 4,500)

Accounting break-even point = (15,000,000 + 6,600,000) / 1,500 = 14,400 units

Case 2

2a) Cash break-even point = 15,000 / (38 - 25.08)

Cash break-even point = 15,000 / 12.92 = 1,160.99 or rounded off to 1,161 units

2b) Accounting break-even point = (15,000 + 25,500) / (38 - 25.08)

Accounting break-even point = 40,500 / 12.92 = 3,134.67 or rounded off to 3,135 units

Case 3

3a) Cash break-even point = 700 / (8 - 3.16)

Cash break-even point = 700 / 4.84 = 144.63 or rounded off to 145 units

3b) Accounting break-even point = (700 + 525) / (8 - 3.16)

Accounting break-even point = (700 + 525) / 4.84 = 253.10 or rounded off to 253 units

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