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- Haas Company manufactures and sells one product. The following information pertains to each of the company’s first three years of operations:
- Variable costs per unit:
- Manufacturing:
- Direct materials $29
- Direct labor $21
- Variable manufacturing overhead $9
- Variable selling and administrative $3
- Fixed costs per year:
- Fixed manufacturing overhead $ 420,000
- Fixed selling and administrative expenses $ 180,000
- During its first year of operations, Haas produced 60,000 units and sold 60,000 units. During its second year of operations, it produced 75,000 units and sold 50,000 units. In its third year, Haas produced 40,000 units and sold 65,000 units. The selling price of the company’s product is $72 per unit.
- Required:
- 1. Compute the company’s break-even point in units sold.
- 2. Assume the company uses variable costing:
- a.
- Compute the unit product cost for year 1, year 2, and year 3.
- b.
- Prepare an income statement for year 1, year 2, and year 3.
- 3. Assume the company uses absorption costing:
- a.
- Compute the unit product cost for year 1, year 2, and year 3. (Round your intermediate and final answers to 2 decimal places.)
- b.
- Prepare an income statement for year 1, year 2, and year 3. (Round your intermediate calculations to 2 decimal places.)
- Answer to 1
- Break Even Point in Units = Fixed Cost / Contribution Per Unit
- Whereas Contribution = Sales Price - All variable Cost
- Fixed Cost = 420000 + 180000 = 600000
- Contribution = 72 - 29-21-9-3 = 10
- Break Even Point = 600000 / 10
- = 60000 Units
- Answer 2a
- Particulars Year 1 Year 2 Year 3
- Material 29 29 29
- Labor 21 21 21
- Variable Manufacturing Overhead 9 9 9
- Unit Cost 59 59 59
- Note: Selling and administrative expenses (both variable and fixed) are not relevant for the computation of unit product cost.
- Answer to 2b
- Income Statement
- Particulars Year 1 Year 2 Year 3
- Units Sold (A) 60,000 50,000 65,000
- Contribution (B) 10 10 10
- Total Contribution (A x B) 6,00,000 5,00,000 6,50,000
- Less: Fixed Manufacturing Overhead 4,20,000 4,20,000 4,20,000
- Less: Fixed Selling and Admin Overhead 1,80,000 1,80,000 1,80,000
- Income ( Loss) Before tax - (1,00,000) 50,000
- Answer to 3a
- Particulars Year 1 Year 2 Year 3
- Material 29.00 29.00 29.00
- Labor 21.00 21.00 21.00
- Variable Manufacturing Overhead 9.00 9.00 9.00
- Fixed Manufacturing Overhead 7.00 5.60 10.50
- Unit Cost 66.00 64.60 69.50
- Working Note
- Fixed Manufacturing Overhead (A) 420000 420000 420000
- No of Units Produced (B) 60000 75000 40000
- Per Unit (A/B) 7.00 5.60 10.50
- Answer to 3b
- Income Statement
- Particulars Year 1 Year 2 Year 3
- Sales Units x 72 per unit (A) 43,20,000 36,00,000 46,80,000
- Material Cost 17,40,000 21,75,000 11,60,000
- Labour Cost 12,60,000 15,75,000 8,40,000
- Variable Overhead 5,40,000 6,75,000 3,60,000
- Prime Cost 35,40,000 44,25,000 23,60,000
- Add: Fixed Manufacturing Overhead 4,20,000 4,20,000 4,20,000
- Cost of Production 39,60,000 48,45,000 27,80,000
- Add: Opening Inventory - - 24,22,500
- Less: Closing Inventory Cost
- (Cost of Production x Closing Units) / Units Produced - 24,22,500 -
- COGS 39,60,000 24,22,500 52,02,500
- Add: Variable Selling Expenses 1,80,000 1,50,000 1,95,000
- Add: Fixed Selling Expenses 180000 180000 180000
- Cost of Sales (B) 43,20,000 27,52,500 55,77,500
- Net Income (A - B) - 8,47,500 (8,97,500)
- Notes:
- All cost are calculated by multiplying Unit Produced x Respective element cost.
- Closing inventory cost is calculated on remaining inventory on proportionate cost.
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