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Problem 19-1A Variable costing income statement and conversion to absorption cos

ID: 2542805 • Letter: P

Question

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.


Additional Information

Sales and production data for these first two years follow.

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.

Selling and administrative expenses consist of the following.

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.)

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.)

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

Explanation / Answer

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

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

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