Consider the following cases: Case Unit Price Unit Variable Cost Fixed Costs Dep
ID: 2767855 • Letter: C
Question
Consider the following cases:
Case Unit Price Unit Variable Cost Fixed Costs Depreciation
1 $ 7,000 $ 4,830 $ 12,000,000 $ 4,440,000
2 41 30.75 12,000 18,000
3 9 3.56 1,700 1,020
Ignore any tax effects in calculating the cash break-even.
Requirement 1: (a) Calculate the cash break-even point of Case 1
Calculate the accounting break-even point of Case 1.
Calculate the cash break-even point of Case 2
Calculate the accounting break-even point of Case 2
Calculate the cash break-even point of Case 3.
(b)Calculate the accounting break-even point of Case 1.
Requirement 2: (a)Calculate the cash break-even point of Case 2
(b)Calculate the accounting break-even point of Case 2
Requirement 3: (a)Calculate the cash break-even point of Case 3.
(b) Calculate the accounting break-even point of Case 3.Explanation / Answer
Break-even point
Accounting breakeven is calculated by using following formula:
BEP in units = Fixed costs/ (Selling price per unit- variable costs per unit)
Cash break-even point is calculated by using following formula:
Cash BEP= (Fixed costs- Non-cash expenses) / (Selling price per unit - variable cost per unit)
Requirement 1
Accounting break even for case 1 is calculated below:
BEP in units = Fixed costs/ (Selling price per unit- variable costs per unit)
= $12,000,000 / ($7,000 - $4,830)
= 5,530
Hence accounting break even for case 1 is 5,530 units
Cash break even for case 1 is calculated below:
Cash BEP = (Fixed costs- Non-cash expenses) / (Selling price per unit - variable cost per unit)
= ($12,000,000 - $4,440,000) / ($7,000 - $4,830)
= 3,484 unit
Hence cash break even for case 1 is 3,484 units
Requirement 1
Accounting break even for case 2 is calculated below:
BEP in units = Fixed costs/ (Selling price per unit- variable costs per unit)
= $12,000 / ($41 - $30.75)
= 1,298
Hence accounting break even for case 2 is 1,298 units
Cash break even for case 2 is calculated below:
Cash BEP = (Fixed costs- Non-cash expenses) / (Selling price per unit - variable cost per unit)
= $12,000 – $1,800 / ($41 - $30.75)
= 1,103
Hence cash break even for case 2 is 1,103 units
Requirement 1
Accounting break even for case 3 is calculated below:
BEP in units = Fixed costs/ (Selling price per unit- variable costs per unit)
= $1,700 / ($9 - $3.56)
= 313
Hence accounting break even for case 3 is 313 units
Cash break even for case 3 is calculated below:
Cash BEP = (Fixed costs- Non-cash expenses) / (Selling price per unit - variable cost per unit)
= ($1,700 – 1,020) / ($9 - $3.56)
= 125
Hence cash break even for case 3 is 125 units
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