During Year 2, XYZ Inc. reported an absorption costing income from operations of $100,000. The following information is given to you with respect to XYZ’s Year 2 activity:- Beginning Inventories: 10,000 units (including $3 of fixed overhead per unit).- During Year 2, XYZ Inc. produced and sold 90,000 and 85,000 units respectively.- Fixed overhead per unit on units produced during Year 2 amounted to $2.50 per unit.- XYZ employs a FIFO (First-in First-out) approach to inventory sales.Based on the information provided, variable costing income from operations would have been:Select one:a. $92,500.b. $137,500.c. $117,500.d. $112,500.
Question
During Year 2, XYZ Inc. reported an absorption costing income from operations of 3 of fixed overhead per unit).- During Year 2, XYZ Inc. produced and sold 90,000 and 85,000 units respectively.- Fixed overhead per unit on units produced during Year 2 amounted to 92,500.b. 117,500.d. $112,500.
Solution
To calculate the variable costing income from operations, we first need to understand the difference between absorption costing and variable costing. The main difference is the way fixed overhead costs are treated. In absorption costing, fixed overhead costs are spread over all units produced, while in variable costing, fixed overhead is treated as a period expense.
In this case, the absorption costing income from operations is $100,000. This includes the fixed overhead costs.
The fixed overhead cost per unit for the beginning inventory is 30,000. The fixed overhead cost per unit for the units produced in Year 2 is 225,000. So, the total fixed overhead cost is $255,000.
Since XYZ Inc. sold 85,000 units, the fixed overhead cost for the sold units is 212,500.
The difference between the total fixed overhead cost and the fixed overhead cost for the sold units is 212,500 = $42,500. This is the amount of fixed overhead cost that is included in the absorption costing income but not in the variable costing income.
Therefore, the variable costing income from operations would be the absorption costing income minus this difference, which is 42,500 = $57,500.
So, none of the options provided (a. 137,500, c. 112,500) is correct. The variable costing income from operations would be $57,500.
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