Solution
Traditional Absorption Costing Income Statement |
|
(GAAP Format) |
|
Sales Revenue |
$880,000 |
Cost of Goods Sold |
$289,800 |
Gross Margin |
$590,200 |
Operating Expenses |
$117,600 |
Net Income |
$472,600 |
Computations:
Sales revenue = $275 x 3,200 = $880,000
Cost of goods sold –
Variable (DM + DL) = ($48 + $26) x 3,200 = 236,800
Fixed MOH – (rent + depreciation) = 25,000 + 28,000 = $53,000
Total Cost of Goods Sold = 289,800
Operating Expenses -
fixed –
Salaries $58,000
Rent $22,500
Depreciation $11,500
Commission $8 x 3,200 = $25,600
Total operating expenses = $117,600
B. Contribution Margin Income Statement:
Income Statement |
|||
Contribution Margin Format |
|||
Sales Revenue |
$880,000 |
||
Variable Costs |
$262,400 |
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Contribution Margin |
$617,600 |
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Fixed Costs |
$145,000 |
||
Net Income |
$472,600 |
||
Degree or magnitude of operating leverage: |
contribution margin/net income |
617,600/472,600 |
1.31 |
Computations:
Variable costs –
Direct materials = $48 per unit
Direct labor = $26 per unit
Commission = $8 per unit
Total variable cost = $82 per unit
Total variable cost = $82 x 3,200 = $262,400
Total fixed costs –
Manufacturing overhead –
Rent = $25,000
Depreciation = $28,000
Operating costs –
Salaries = $58,000
Rent = $22,500
Depreciation = $11,500
Total fixed cost = $145,000
C. Calculation of the following using formulas:
Total Variable Cost per Unit |
$82 |
(262,400/3,200) |
|
Total Fixed Cost |
$145,000 |
||
Contribution Margin per Unit |
$193 |
(617,600/3,200) |
|
Break-even point in units |
751 units |
(145,000/193) |
|
Breakeven point in sales dollars |
$206,606 |
(145,000/70.2%) |
|
Margin of safety in units |
2,449 |
(3,200 - 751) |
|
Margin of safety in dollars |
$673,394 |
(880,000 - 206,606) |
|
Margin of safety as a percentage of current sales |
76.50% |
(673,394/880,0000 |
|
Number of units that must be sold to earn $350,000 |
2,564 |
(145,000 + 350,000)/$193 |
|
The minimum selling price per unit that must be set to earn |
$189.80 |
(262,400 + 145,000 + 200,000)/3,200 |
|
Computations:
Break-even point in units = fixed cost/contribution margin per unit
Break-even point in dollars = fixed cost/contribution margin ratio
Contribution margin ratio = unit contribution margin/unit selling price
= 193/275 = 70.2%
Margin of safety in units = actual sales units – bep sales unit
Margin of safety in dollars = actual sales – BEP sales
Margin of safety as a percent = margin of safety sales/actual sales
Number of units that must be sold to earn $350,000 profit = (fixed cost + target income)/unit contribution margin
Minimum selling price to earn $200,000 = (total costs + target income)/unit sales
3,200 x S = (262,400 +145,000 + 200,000) =$189.80
3 Information: 5 Number of Units Produced 6 Number of units Sold 3200 3200 $48 per...
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