In: Accounting
Problem 19-1A Variable costing income statement and conversion to absorption costing income (two consecutive years) LO P2, P3
[The following information applies to the questions
displayed below.]
Dowell Company produces a single product. Its income statements
under absorption costing for its first two years of operation
follow.
2016 | 2017 | |||||
Sales ($46 per unit) | $ | 966,000 | $ | 1,886,000 | ||
Cost of goods sold ($31 per unit) | 651,000 | 1,271,000 | ||||
Gross margin | 315,000 | 615,000 | ||||
Selling and administrative expenses | 287,000 | 327,000 | ||||
Net income | $ | 28,000 | $ | 288,000 | ||
Additional Information
Sales and production data for these first two years follow.
2016 | 2017 | |||
Units produced | 31,000 | 31,000 | ||
Units sold | 21,000 | 41,000 | ||
Variable cost per unit and total fixed costs are unchanged during 2016 and 2017. The company's $31 per unit product cost consists of the following.
Direct materials | $ | 5 | |
Direct labor | 9 | ||
Variable overhead | 7 | ||
Fixed overhead ($310,000/31,000 units) | 10 | ||
Total product cost per unit | $ | 31 | |
Selling and administrative expenses consist of the following.
2016 | 2017 | |||||
Variable selling and administrative expenses ($2 per unit) | $ | 42,000 | $ | 82,000 | ||
Fixed selling and administrative expenses | 245,000 | 245,000 | ||||
Total selling and administrative expenses | $ | 287,000 | $ | 327,000 | ||
Problem 19-1A Part 1
1. Complete income statements for the company for each of its first two years under variable costing. (Loss amounts should be entered with a minus sign.)
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2. What are the differences between the absorption costing income and the variable costing income for these two years? (Loss amounts should be entered with a minus sign.)
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The main difference between absorption costing and variable costing is that the absorption costing treats fixed production cost as the product cost whereas variable costing considers fixed cost as the period cost.
As per the variable costing, profit will be calculated as follows:
Sales – Variable cost = Contribution.
Contribution – Fixed cost = Profit.
So, now we need to identify separately the variable and fixed costs.
Variable Costs:
Direct material = $5
Direct Labor = $9
Variable overhead = $7
Don’t include the fixed overhead here as this will be considered as period cost and will be deducted entirely i.e. $310000 will be deducted from contribution to calculate profit.
Variable product cost per unit = 5+9+7 = $21.
Now let’s analyze the selling and administrative expenses:
It is given that $2 per unit is the variable selling and administrative expenses.
Therefore, Variable Selling and administrative expenses per unit = $2.
Fixed production overhead = $310000
Fixed Selling and administrative expenses = $245000.
DOWELL Company |
||
Variable Costing Income Statements |
||
2016 |
2017 |
|
Number of Units sold |
21000 |
41000 |
Sales (1) |
966000 |
1886000 |
Less: Varaible Costs |
||
Variable Product @ $21 : 21000*21, 41000*21 |
441000 |
861000 |
Variable Selling and admin exp @ $2 : 21000*2, 41000*2 |
42000 |
82000 |
Total Variable cost (2) |
483000 |
943000 |
Contribution (3) = (1)-(2) |
483000 |
943000 |
Less: Fixed Costs |
||
Fixed production overhead |
310000 |
310000 |
Fixed Selling and administrative expenses |
245000 |
245000 |
Total Fixed costs (4) |
555000 |
555000 |
Profit (5) = (3)-(4) |
-72000 |
388000 |
For 2016:
Production units are 31000 units.
Sold units are 21000 units.
In absorption costing, as it treats fixed production cost as product cost, it recovered $10 per unit sold.
I.e. 21000*10 = $210000.
Whereas, absorption costing recovers entire amount of fixed production overhead $310000.
The difference is 310000 – 210000 = $100000.
This means, $100000 is under absorbed in absorption costing.
For 2017:
As the no of units sold is 41000 which is higher than the units produced 31000 in 2017, there will over absorption in absorption costing.
Fixed overhead absorbed as per absorption costing in 2017 is 41000*10 = $410000.
But, Variable costing considers $310000 as it treats fixed production overhead as the period cost.
This means, $100000 is over absorbed in absorption costing.
Now, if we add the under absorption to and deduct the over absorption from Variable costing income, we can arrive to the Absorption costing income.
DOWELL COMPANY |
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Reconciliation of Variable Costing Income to Absorption Costing Income |
||
2016 |
2017 |
|
Variable costing income (loss) |
-72000 |
388000 |
Add Underabsorption in absorption costing |
100000 |
|
Less Overabsorption in absorption costing |
(100000) |
|
Absorption costing income (loss) |
28000 |
288000 |