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Cost Accounting (14th Edition)

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APPROACHES TO ALLOCATING JOINT COSTS 581<br />

Joint <strong>Cost</strong>s<br />

$400,000<br />

Cream<br />

25,000 gallons<br />

Exhibit 16-2<br />

Example 1: Overview of<br />

Farmers’ Dairy<br />

Raw Milk<br />

110,000<br />

gallons<br />

Processing<br />

Liquid<br />

Skim<br />

75,000 gallons<br />

Splitoff<br />

Point<br />

are allocated to individual products to calculate cost per gallon of cream and liquid skim<br />

for valuing ending inventory. This method uses the sales value of the entire production of<br />

the accounting period (25,000 gallons of cream and 75,000 gallons of liquid skim), not<br />

just the quantity sold (20,000 gallons of cream and 30,000 gallons of liquid skim). The<br />

reason this method does not rely solely on the quantity sold is that the joint costs were<br />

incurred on all units produced, not just the portion sold during the current period.<br />

Exhibit 16-3, Panel B, presents the product-line income statement using the sales value at<br />

splitoff method. Note that the gross-margin percentage for each product is 20%, because<br />

the sales value at splitoff method allocates joint costs to each product in proportion to<br />

the sales value of total production (cream: $160,000 , $200,000 = 80%; liquid skim:<br />

$240,000 , $300,000 = 80%). Therefore, the gross-margin percentage for each product<br />

manufactured in May 2012 is the same: 20%. 5<br />

Note how the sales value at splitoff method follows the benefits-received criterion of<br />

cost allocation: <strong>Cost</strong>s are allocated to products in proportion to their revenue-generating<br />

Exhibit 16-3<br />

Joint-<strong>Cost</strong> Allocation and Product-Line Income Statement Using Sales Value at Splitoff<br />

Method: Farmers’ Dairy for May 2012<br />

A<br />

B<br />

C<br />

D<br />

1<br />

2<br />

3<br />

PANEL A: Allocation of Joint <strong>Cost</strong>s Using Sales Value at Splitoff Method<br />

Sales value of total production at splitoff point<br />

( 25,000 gallons × $8 per gallon; 75,000 gallons × $4 per gallon)<br />

Cream<br />

$ 200,000<br />

Liquid Skim<br />

$ 300,000<br />

Total<br />

$ 500,000<br />

4 W eighting ($200,000 ÷ $500,000; $300,000 ÷ 500,000)<br />

0.40 0.60<br />

5 J oint costs allocated (0.40 × $400,000; 0.60 × $400,000)<br />

$ 160,000 $ 240,000 $ 400,000<br />

6 Joint production cost per gallon<br />

7 ( $160,000 ÷ 25,000 gallons; $240,000 ÷ 75,000 gallons)<br />

$ 6.40 $ 3.20<br />

8<br />

9 PANEL B: Product-Line Income Statement Using Sales Value at Splitoff Method for May 2012 Cream Liquid Skim Total<br />

10 R evenues (20,000 gallons × $8 per gallon; 30,000 gallons × $4 per gallon)<br />

$ 160,000 $ 120,000 $ 280,000<br />

11 <strong>Cost</strong> of goods sold (joint costs)<br />

12 P roduction costs (0.40 × $400,000; 0.60 × $400,000)<br />

160,000 240,000 400,000<br />

13 Deduct ending inventory (5,000 gallons × $6.40 per gallon; 45,000 gallons × $3.20 per gallon) 32,000 144,000 176,000<br />

14 C ost of goods sold (joint costs)<br />

128,000 96,000 224,000<br />

15 Gross margin $ 32,000 $ 24,000 $ 56,000<br />

16 Gross margin percentage ($32,000 ÷ $160,000; $24,000 ÷ $120,000; $56,000 ÷ $280,000) 20% 20% 20%<br />

5 Suppose Farmers’ Dairy has beginning inventory of cream and liquid milk in May 2012 and when this inventory is sold,<br />

Farmers’ earns a gross margin different from 20%. Then the gross-margin percentage for cream and liquid skim will not be the<br />

same. The relative gross-margin percentages will depend on how much of the sales of each product came from beginning<br />

inventory and how much came from current-period production.

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