In: Accounting
Variable Costing Income Statement
On July 31, the end of the first month of operations, Rhys Company prepared the following income statement, based on the absorption costing concept:
| Sales (20,000 units) | $1,520,000 | ||||
| Cost of goods sold: | |||||
| Cost of goods manufactured | $1,152,000 | ||||
| Less ending inventory (4,000 units) | 192,000 | ||||
| Cost of goods sold | 960,000 | ||||
| Gross profit | $560,000 | ||||
| Selling and administrative expenses | 112,000 | ||||
| Income from operations | $448,000 | ||||
a. Prepare a variable costing income statement, assuming that the fixed manufacturing costs were $72,000 and the variable selling and administrative expenses were $51,000. In your computations, round unit costs to two decimal places and round final answers to the nearest dollar.
| Rhys Company | ||
| Income Statement-Variable Costing | ||
| For the Month Ended July 31 | ||
| Sales | $ | |
| Variable cost of goods sold: | ||
| Variable cost of goods manufactured | $ | |
| Less ending inventory | ||
| Variable cost of goods sold | ||
| Manufacturing margin | $ | |
| Variable selling and administrative expenses | ||
| Contribution margin | $ | |
| Fixed costs: | ||
| Fixed manufacturing costs | $ | |
| Fixed selling and administrative expenses | ||
| Income from operations | $ | |
b. Reconcile the absorption costing income from operations of $448,000 with the variable costing income from operations determined in (a).
| Reconciliation of Absorption and Variable Costing Income | |
| Absorption costing income from operations | $ | 
| Variable costing income from operations | |
| Difference | $ | 
Answer :
a.
| Rhys Company | ||
| Income Statement-Variable Costing | ||
| For the Month Ended July 31 | ||
| Sales | $ 1520000 | |
| Less - Variable cost of goods sold: | ||
| Variable cost of goods manufactured | $ 1080000 | |
| Less - Ending inventory ( 4000*$ 45) | $ 180000 | |
| Variable cost of goods sold | $ 900000 | |
| Manufacturing margin | $ 620000 | |
| Variable selling and administrative expenses | $ 51000 | |
| Contribution margin | $ 569000 | |
| Fixed costs: | ||
| Fixed manufacturing costs | $ 72000 | |
| Fixed selling and administrative expenses | $ 61000 | |
| Income from operations | $ 436000 | |
Working note - 1
Variable cost of goods manufactured = Cost of goods manufactured - Fixed Manufacturing cost
= $ 1152000 - $ 72000 = $ 108000
Units manufactured = Sales + Closing inventory
= 20000 +4000 = 24000 unit
Variable cost of goods manufactured per unit = Total cost of Manufacture / Units manufactured
= $ 1080000 / 24000 = $ 45
Ending inventory = 4000*$ 45 = $ 180000
Fixed selling and administrative expenses = $ 112000- $ 51000 = $ 61000
b.
| Reconciliation of Absorption and Variable Costing Income | |
| Absorption costing income from operations | $ 448000 | 
| Variable costing income from operations | $ 436000 | 
| Difference | $ 12000 | 
| Fixed manufacturing overhead Deferred in closing inventory | $ 12000 | 
Working note -2
Fixed manufacturing overhead Deferred in closing inventory = Ending inventory * Fixed manufacturing overhead per unit
= 4000 unit * $ 3 = $ 12000
Fixed manufacturing overhead per unit = Fixed manufacturing overhead/ output
= $ 72000/24000 = $ 3