Maher Corporation, which has only one product, has provided the following data concerning its most recent month of operations:
Selling price | $ | 198 |
Units in beginning inventory | 0 | |
Units produced | 3,230 | |
Units sold | 3,060 | |
Units in ending inventory | 170 | |
Variable costs per unit: | ||
Direct materials | $ | 55 |
Direct labor | $ | 55 |
Variable manufacturing overhead | $ | 14 |
Variable selling and administrative expense | $ | 13 |
Fixed costs: | ||
Fixed manufacturing overhead | $ | 109,820 |
Fixed selling and administrative expense | $ | 12,240 |
Required:
a. What is the unit product cost for the month under variable costing?
b. What is the unit product cost for the month under absorption costing?
c. Prepare a contribution format income statement for the month using variable costing.
d. Prepare an income statement for the month using absorption costing.
e. Reconcile the variable costing and absorption costing net operating incomes for the month.
Answer:
(a/b). Calculation of unit product cost for the month under variable costing and absorption costing method:
Particulars | Variable costing method | Absorption costing method |
Direct Material | $55 | $55 |
Direct Labor | $55 | $55 |
Variable Manufacturing Overhead | $14 | $14 |
Fixed manufacturing overhead | - | $34* |
Variable cost per unit | $114 | $148 |
*Fixed manufacturing cost per unit will be considered for absorption costing method: 109,820/3,230= $34
c. Calculation of income for the month under variable costing method:
Particulars | Amount (in $) |
Sales (3060*198) | 605,880 |
Less: | |
Variable manufacturing costs (3060*114) | 348,840 |
Variable selling costs (3060*13) | 39,780 |
Contribution Margin: | 217,260 |
Less: | |
Fixed manufacturing costs | 109,820 |
Fixed Selling costs | 12,240 |
Net Income for the month | 95,200 |
d. Calculation of income for the month under absorption costing method:
Particulars | Amount (in $) |
Sales (3060*198) | 605,880 |
Less: | |
Cost of goods sold (3060*148) | 452,880 |
Selling and administration costs (3060*16.78)* | 51,376 |
Net Income for the month | 101,624 |
*Selling cost per unit are calculated as follows: 13 per unit given + 12,240/3230: $16.78
e. Income under absorption costing method: $101,624
Income under variable costing method : $95,200
Reconciliation of above: Fixed cost included in income statement of Variable costing: 109,820+12,240=122,060
Fixed cost included in income statement of absorption costing costing: (109,820+12,240)*3,060/3230 = $115,636
(Please note that some figures are rounded off in solution)
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