In: Accounting
Lynch Company manufactures and sells a single product. The following costs were incurred during the company’s first year of operations: Variable costs per unit: Manufacturing: Direct materials $ 14 Direct labor $ 8 Variable manufacturing overhead $ 2 Variable selling and administrative $ 2 Fixed costs per year: Fixed manufacturing overhead $ 250,000 Fixed selling and administrative expenses $ 160,000 During the year, the company produced 25,000 units and sold 21,000 units. The selling price of the company’s product is $47 per unit. Required: 1. Assume that the company uses absorption costing: a. Compute the unit product cost. b. Prepare an income statement for the year. 2. Assume that the company uses variable costing: a. Compute the unit product cost. b. Prepare an income statement for the year.
1a.
| Cost per unit | Absorption costing | 
| Direct material cost | $ 14 | 
| Direct Labour | $ 8 | 
| Variable manufacturing overhead | $ 2 | 
| Fixed manufacturing overhead ($250,000/25,000) | $ 10 | 
| Cost per unit | $ 34 | 
1b.
| Lynch Company | ||
| Income Statement (Absorption Costing) | ||
| Sales (21,000*$47) | $ 987,000 | |
| Cost of goods sold (21,000*$34) | $ 714,000 | |
| Gross margin | $ 273,000 | |
| Selling and administrative expenses | ||
| Variable (21,000*$2) | $ 42,000 | |
| Fixed | $ 160,000 | |
| Total Selling and administrative expenses | $ 202,000 | |
| net operating income (Loss) | $ 71,000 | |
2a
| Cost per unit | Variable costing | 
| Direct material cost | $ 14 | 
| Direct Labour | $ 8 | 
| Variable manufacturing overhead | $ 2 | 
| Cost per unit | $ 24 | 
2b.
| Lynch Company | ||
| Income Statement (Variable costing) | ||
| Sales (21,000*$47) | $ 987,000 | |
| Variable Expenses | ||
| Direct Material (21,000*$14) | $ 294,000 | |
| Direct Labour (21,000*$8) | $ 168,000 | |
| Variable manufacturing overhead (21,000*$2) | $ 42,000 | |
| Variable selling and administrative expenses (21,000*$2) | $ 42,000 | |
| Total Variable cost | $ 546,000 | |
| Contribution margin | $ 441,000 | |
| Fixed Expenses | ||
| Fixed manufacturing overhead | $ 250,000 | |
| Fixed selling and administrative expense | $ 160,000 | |
| Total Fixed Expenses | $ 410,000 | |
| net operating income (Loss) | $ 31,000 | |
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