In: Finance
The company produces a single product.
Last year, the company's variable production costs totaled $8,000
and its fixed manufacturing overhead costs totaled $4,800. The
company produced 4,000 units during the year and sold 3,600 units.
Assuming no units in the beginning inventory:
A. |
under variable costing, the units in ending inventory will be costed at $3.20 each. |
B. |
the net operating income under absorption costing for the year will be $480 lower than net operating income under variable costing. |
C. |
the ending inventory under variable costing will be $480 lower than the ending inventory under absorption costing. |
D. |
the net operating income under absorption costing for the year will be $800 lower than net operating income under variable costing. |
First of all we shall calculate the value of ending inventory under absorption costing as follows:
Ending Inventory = Opening Inventory + Units Produced - Units Sold
= 0 + 4,000 - 3,600
= 400 units.
Per unit value under absorption costing = Total Cost incurred / Total units produced
Total Cost incurred = Total Variable production cost + Fixed Manufacturing Overhead cost
= $ 8,000 + $ 4,800
= $ 12,800
Total Units Produced = 4,000 units
So per unit value under absorption costing = $ 12,800 / 4,000
= $ 3.20 per unit.
Hence value of closing inventory under absorption costing is as follows:
= 400 units x $ 3.20 per unit
= $ 1,280
Now we shall compute value of ending inventory under variable costing as follows:
Per unit value under variable costing = Total Variable Cost incurred / Total units produced
Total variable production cost = $ 8,000
Total Units Produced = 4,000 units
So per unit value under variable costing = $ 8,000 / 4,000
= $ 2 per unit.
Hence value of closing inventory under absorption costing is as follows:
= 400 units x $ 2 per unit
= $ 800
Hence the value of ending inventory under variable costing is $ 800 and the value of ending inventory under absorption costing is $ 1,280, which means value of ending inventory under variable costing is $ 480 less than the value of ending inventory under absorption costing. Hence the correct answer is option c.
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