Question

In: Accounting

Denton Company manufactures and sells a single product. Cost data for the product are given: Variable...

Denton Company manufactures and sells a single product. Cost data for the product are given:

Variable costs per unit:
Direct materials $ 5
Direct labor 10
Variable manufacturing overhead 3
Variable selling and administrative 1
Total variable cost per unit $ 19
Fixed costs per month:
Fixed manufacturing overhead $ 60,000
Fixed selling and administrative 163,000
Total fixed cost per month $ 223,000

The product sells for $54 per unit. Production and sales data for July and August, the first two months of operations, follow:

Units
Produced
Units
Sold
July 15,000 11,000
August 15,000 19,000

The company’s Accounting Department has prepared the following absorption costing income statements for July and August:

July August
Sales $ 594,000 $ 1,026,000
Cost of goods sold 242,000 418,000
Gross margin 352,000 608,000
Selling and administrative expenses 174,000 182,000
Net operating income $ 178,000 $ 426,000

Required:

1. Determine the unit product cost under:

a. Absorption costing.

b. Variable costing.

2. Prepare variable costing income statements for July and August.

3. Reconcile the variable costing and absorption costing net operating incomes.

Solutions

Expert Solution

Ans. 1 In Absorption costing method, the unit product cost is the sum of all manufacturing costs per unit
whether it is fixed or variable.
In variable costing method, the unit product cost is the sum of only variable
manufacturing costs per unit
Absorption Variable
Direct materials $5.00 $5.00
Direct labor $10.00 $10.00
Variable manufacturing overhead $3.00 $3.00
Fixed manufacturing overhead ($60,000 / 15,000) $4.00
Total unit product cost $22.00 $18.00
Ans. 2 DENTON COMPANY
Variable Costing
Income Statement
PARTICULARS July August
Sales    $594,000 $1,026,000
Less: Variable cost of goods sold:
Opening inventory $0 $72,000
Add: Cost of goods produced $270,000 $270,000
Variable cost of goods available for sale $270,000 $342,000
Less: Ending inventory -$72,000 $0
Variable cost of goods sold $198,000 $342,000
Gross Contribution Margin $396,000 $684,000
Less: Variable Selling and Administrative expenses $11,000 $19,000
Contribution Margin $385,000 $665,000
Less: Fixed expenses:
Fixed manufacturing overhead $60,000 $60,000
Fixed selling and administrative expenses $163,000 $223,000 $163,000 $223,000
Net operating income    $162,000 $442,000
*Sales   =   Units sold * Selling price
July (11,000 * $54) $594,000
August (19,000 * $54) $1,026,000
*Cost of goods produced = Units produced * Unit product cost
July (15,000 * $18) $270,000
August (15,000 * $18) $270,000
Ending inventory units = Beginning inventory + Units produced - Units sold
July =   0 + 15,000 - 11,000   =   4,000 units
August = 4,000 + 15,000 - 19,000   =   0 units
(Ending inventory of July = Beginning inventory for August)
Cost of ending inventory = Ending inventory units * Unit product cost
July (4,000 * $18) $72,000
August (0 * $18) $0
*Variable selling and administrative cost = Variable marketing cost per unit * Units sold
July (11,000 * $1) $11,000
August (19,000 * $1) $19,000
Ans. 3 DENTON COMPANY
Reconciling Difference in Operating Income
Between Absorption and Variable Costing
JULY AUGUST
Change in inventory in units 4000 -4000
(*) Fixed overhead rate $4.00 $4.00
Difference in operating income $16,000.00 ($16,000.00)
Change in inventory in units   =   Units produced - Units sold
July (15,000 - 11,000) 4000
August (15,000 - 19,000) -4000

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