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Problem One Absorption and Variable Costing; CVP Analysis Hawkesbury Company began operations on January 1 to produce a singl
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Answer #1
Given:
Production Volume 100000 units
Closing Inventory 20000 units
Units sold (100000-20000) 80000
Net Income as per Absorption costing $480,000
Net Income as per Variable costing $440,000
Under variable costing, only variable manufacturing cost is included as part of product costs.
Under absorption costing, product cost includes both variable and fixed manufacturing costs.
The difference between net income as per absorption costing and variable costing above is due to fixed manufacturing cost being part of inventory under absorption costing.
Method Net Income
Absorption costing $480,000
Variable costing $440,000
Fixed Manufacturing Cost in ending inventory $40,000
($480000-$440000)
Fixed manufacturing cost per unit Fixed Manufacturing cost/No of units in inventory
$40000/20000
$2 Per unit
Therefore total fixed manufacturing cost = No of units produced * Fixed manufacturing cost per unit in Inventory
100000*$2
$200,000
Fixed Manufacturing cost = $200000
Contribution = Fixed Cost +Net Income
$200000+$440000
$640,000
Contribution = $640000
Contribution per unit = Contribution/No of units sold
$640000/(100000 produced-20000 sold)
$640000/80000
8
Contribution per unit = $8
Break even point = Fixed Cost/Contribution per unit
$200000/$8
25000 units
Thus, break-even point is 25,000 units.
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