Question

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:

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 $ 11
Direct labor $ 5
Variable manufacturing overhead $ 2
Variable selling and administrative $ 2
Fixed costs per year:
Fixed manufacturing overhead $ 350,000
Fixed selling and administrative $ 260,000

During the year, the company produced 35,000 units and sold 25,000 units. The selling price of the company’s product is $46 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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Answer #1
a. Unit product cost:
Direct Material $               11
Direct Labor $                  5
Variable Manufacturing overhead $                  2
Total Variable Cost $               18
Fixed Manufacturing overhead ($350000/35000) $               10
Unit product cost $               28
b. Absorption Costing Income Statement
Sales(25000 X $46) $ 11,50,000
Less: Cost of Goods Sold
Beginning Inventory 0
Add: Cost of Goods manufactured (35000 X $28) $   9,80,000
Goods available for sale $   9,80,000
Less: Ending Inventory (10000 X $28) $   2,80,000 $   7,00,000
Gross Margin $   4,50,000
Less: Selling and Administrative expenses [(25000 X $2) + $260000] $   3,10,000
Net Operating Income $   1,40,000
2 Under Variable Costing
a. Unit product cost:
Direct Material $               11
Direct Labor $                  5
Variable Manufacturing overhead $                  2
Unit product cost $               18
b. Variable Costing Income Statement
Sales(25000 X $46) $ 11,50,000
Less: Variable expenses:
Variable Cost of goods sold:
Beginning Inventory 0
Add: Variable Manufacturing Cost(35000 X $18) $   6,30,000
Goods available for sale $   6,30,000
Less: Ending Inventory (10000 X $18) $   1,80,000
Variable Cost of goods sold $   4,50,000
Add: Variable selling expenses (25000 X $2) $       50,000 $   5,00,000
Contribution margin $   6,50,000
Less: Fixed Expenses:
Fixed Manufacturing overhead $   3,50,000
Fixed Selling and Administrative expenses $   2,60,000 $   6,10,000
Net operating Income $       40,000
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