P7-2A. Variable and Absorption Costing Summarized data for 2016 (the first year of operations) for
Gorman Products, Inc., are as follows:
Sales (75,000 units) ....................................... $3,000,000
Production costs (80,000 units):
Direct material.......................................... 880,000
Direct labor ............................................ 720,000
Manufacturing overhead:
Variable ............................................... 544,000
Fixed ................................................. 320,000
Operating expenses:
Variable ............................................... 168,000
Fixed ................................................. 240,000
Depreciation on equipment ................................. 60,000
Real estate taxes ......................................... 18,000
Personal property taxes (on inventory and equipment) ............ 28,800
Personnel department expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30,000
Required
a. Prepare an income statement based on full absorption costing.
b. Prepare an income statement based on variable costing.
c. Assume that you must decide quickly whether to accept a special one-time order for 1,000 units
for $30 per unit. Which income statement presents the most relevant data? Determine the appar-
ent profit or loss on the special order based solely on these data.
d. If the ending inventory is destroyed by fire, which costing approach would you use as a basis for
filing an insurance claim for the fire loss? Why?
ANSWER:
a:
An Income statement based on full absorption costing.
Absorption Costing Income Statement
For the year Ended 2016
sales (a) | $3,000,000 | ||
Cost of goods sold: | |||
Beginning inventory(b) | $0 | ||
Cost of goods manufactured(c) | |||
(720,000+544,000+320,000) | 1094000 | ||
Ending inventory (d) | 68375 | ||
Cost of goods sold (e = b+c-d) | 1,025,625 | ||
Gross margin (f = a - e) | 1,974,375 | ||
operating expenses (g) | |||
(168,000 + 240,000 ) | 408,000 | ||
Income from operations (f-g) | |||
( 1,94,375 - 408,000) | 1,566,375 |
Compute the ending inventory value under absorption costing as shown below:
Ending inventory= Ending inventory(in jobs) x Manufacturing cost per job
= (Total jobs - Number of jobs sold) x Cost of goods manufactured / Total jobs
= (80,000-75000) x 1094000 / 80000
= 5000 x 13.675
= 68,375
Thus, the income from operation for the year 2016 based on full absorption costing is $ 1,566,375.
b)
Prepare an income statement based on varable costing as shown below:
Variable costing Income Statement
For the year ended 2016
Sales(a) | $ 3,000,000 | |
Variable cost of goods Sold: | ||
Beginning inventory(b) | $0 | |
Variable cost of goods manufacture (c) | ||
(720,000+544,000) | 1,264,000 | |
Ending inventory (d) | 79,000 | |
Variable cost of goods sold (e= b +c -d) | 1185,000 | |
Manufacturing margin (f = a - e) | 1,815,000 | |
Variable operating expenses (g) | 168,000 | |
Contribution margin ( h = f - g) | 1,647,000 |
Fixed costs:
Fixed manufacturing over hears(i)
Total fixed cost ( k =i + j)
(320,000 +2,40,000) 5,60,000
Income form operation ( h-k) 1,087,000
Compute the ending inventory value under variable costing as shown below:
Ending inventory = Ending inventory x Variable manufacturing cost per job
= (80000 - 75000) x 1,264,000 / 80000
= 5000 x 15.8 = 79000
Thus the income from operations for the year 2016 based on variable costing is $ 1,087,000
c)
For the special one time order analysis, variable income statement is useful because for the special order jobs only variable cost are incurred.
Thus, the varibale costing income statement presents the most relevant data for special one time order analysis
Special order
Sales (1000 x 30 per unit) 30,000
Variable cost of goods manufactured (b)
[(720,000+544,000) / 5000 x (1000)] 252800
Manufacturing margin ( c = a -b) 222,800
Variable operating expenses (d)
(168,000 / 75000) x 5000 11200
Net profit ( c - d) 211,600
Thus , the net profit on the special order is $ 211,600
d) If ending inventory is destroyed by fire, the full absorption method will be used because the cost per unit is higher and if closing inventory is valued by the method the value will be higher, therby getting a higher claim form the insurance company.
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