In each of the following cases, find the unknown variable. Ignore taxes. (Do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.)

a. Accounting Break-Even 25,000

Unit Price $24
Unit Variable Cost $10
Fixed Costs $225,000
Depreciation $?

b. Accounting Break-Even 120,000

Unit Price $?
Unit Variable Cost $14
Fixed Costs $2,400,000
Depreciation $1,200,000

c. Accounting Break-Even 12,000

Unit Price $25
Unit Variable Cost $?
Fixed Costs $140,000
Depreciation $40,000

Respuesta :

Answer:

a. Accounting Break-Even 25,000

Depreciation = $125,000

b. Accounting Break-even 120,000

Unit price = $44

c. Accounting Break-Even 12,000

Unit variable cost = $10

Explanation:

a) Data and Calculations:

a. Accounting Break-Even 25,000

Unit Price $24

Unit Variable Cost $10

Fixed Costs $225,000

Depreciation $?

Sales Revenue = $600,000 ($24 * 25,000)

Variable cost =      250,000 ($10 * 25,000)

Contribution =     $350,000

Fixed costs =         225,000

Depreciation =       125,000 ($350,000 - $225,000)

b. Accounting Break-Even 120,000

Unit Price $?

Unit Variable Cost $14

Fixed Costs $2,400,000

Depreciation $1,200,000

Unit Price $44

Unit Variable Cost $14

Fixed Costs   $2,400,000

Depreciation  $1,200,000

Contribution $3,600,000

Contribution per unit = $30 ($3,600,000/120,000)

Unit price = $44 ($30 + $14)

c. Accounting Break-Even 12,000

Unit Price $25

Unit Variable Cost $?

Fixed Costs $140,000

Depreciation $40,000

Contribution = $180,000

Contribution per unit = $15

Unit variable cost = $10 ($25 = $10)

Answer:

$125,000

$44

$10

Explanation:

Breakeven quantity are the number of  units produced and sold at which net income is zero

Breakeven quantity = (depreciation + fixed cost) / price – variable cost per unit

a 25,000 = (d + $225,000) / ($24 - $10)

25,000 = (d + $225,000) / $14

d = 350,000 -  $225,000

d = $125,000

b. 120,000 = ( $2,400,000 + 1,200,000) / (p - $14)

120,000 x (p - $14) = $3,600,000

p = ( $3,600,000 / 120,000) + 14

p = $44

12,000 = (140,000 + 40,000) / (25 - v)

12,000(25 - v)  = 180,000

v = 25 - (180,000/ 12,000)

v = $10

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