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Lynch Company manufactures and sells a single product. The following costs were incurred during the company’s...

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.

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Expert Solution

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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