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Roberts, which began business at the start of the current year, had the following data: Planned and actual production: 40,000
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Answer #1

Solution of the above problem is as under:

Variable Costing Income Statement
Particulars Working ($) Amount ($)
Sales Revenue 37000 X $15 555000
Less: Cost of Goods Sold
Opening Inventory: Nil 0
Add: Purchases (40000 X $4) 160000
Less: Closing Inventory (3000 X $4) -12000 -148000
Gross Contribution Margin 407000
Less: Variable Selling and Administrative Cost 37000 X $1 -37000
Contribution Margin 370000
Less: Period Expenses
Fixed Production Cost 260000
Fixed Selling and Administrative Cost 32000 -292000
Net Operating Income 78000
Absorption Costing Income Statement
Particulars Working ($) Amount ($)
Sales Revenue 37000 X $15 555000
Less: Cost of Goods Sold
Opening Inventory: Nil 0
Add: Cost of Goods Manufactured (40000 X $10.5*) 420000
Less: Closing Inventory (3000 X $10.5*) -31500 -388500
Gross Profit 166500
Less: Selling and Administrative Costs
Variable Selling and Administrative Cost 37000
Fixed Selling and Administrative Cost 32000 -69000
Net Operating Income 97500

Working Note:

*Production Expenses per Unit
Variable Expenses + Fixed Expenses
$4 + ($260000/40000)
$ (4+6.5)
$10.5

The net operating income under absorption costing is $19500 more than the net operating income under variable costing. When production is more than sales , the fixed manufacturing overhead is deferred in inventory that causes a higher net operating income under absorption costing than under variable costing. The reconciliation of net operating income is given below:

Reconciliation Statement
Particulars Amount ($)
Net Operating Income under Absorption Costing 97500
Net Operating Income under Variable Costing 78000
Difference in Net Operating Income 19500
Change in Inventory (Closing Stock - Opening Stock) 3000 Units
(that is 3000 - 0)
Fixed Production Expenses deferred in Inventory (3000*$6.5*) 19500
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