In: Accounting
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 | $ | 20 |
Direct labor | $ | 12 |
Variable manufacturing overhead | $ | 3 |
Variable selling and administrative | $ | 1 |
Fixed costs per year: | ||
Fixed manufacturing overhead | $ | 390,000 |
Fixed selling and administrative expenses | $ | 210,000 |
During its first year of operations, Haas produced 50,000 units and sold 50,000 units. During its second year of operations, it produced 65,000 units and sold 40,000 units. In its third year, Haas produced 30,000 units and sold 55,000 units. The selling price of the company’s product is $48 per unit.
Required:
1. Compute the company’s break-even point in unit sales.
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.
b. Prepare an income statement for Year 1, Year 2, and Year 3.
1) | Break even unit sales = total fixed cost/contribution margin | ||||||
total fixed cost | |||||||
fixed manufacturing overhead | 390,000 | ||||||
fixed selling & administrative | 210,000 | ||||||
total fixed cost | 600,000 | ||||||
contribution margin per unit | |||||||
Selling price per unit | 48 | ||||||
less variable cost | |||||||
Direct mterials | 20 | ||||||
direct labor | 12 | ||||||
VMOH | 3 | ||||||
Variable selling & adm expense | 1 | 36 | |||||
contribution margin per unit | 12 | ||||||
Break even unit sales = 600,000/12 | |||||||
50000 | units | answer | |||||
2a) | unit product cost under variable costing | ||||||
Direct mterials | 20 | ||||||
direct labor | 12 | ||||||
VMOH | 3 | ||||||
total unit product cost | 35 | ||||||
year 1 | year 2 | year 3 | |||||
unit product cost | 35 | 35 | 35 | ||||
b) | Variable costing income statement | ||||||
units sold | 50,000 | 40,000 | 55,000 | ||||
year 1 | year 2 | year 3 | |||||
sales | 2400000 | 1920000 | 2640000 | ||||
variable expenses | |||||||
variable cost of goods sold | 1750000 | 1400000 | 1925000 | ||||
variable selling & adm expense | 50000 | 40000 | 55000 | ||||
total variable expense | 1800000 | 1440000 | 1980000 | ||||
contribution margin | 600000 | 480000 | 660000 | ||||
fixed xpenses: | |||||||
fixed manufacturing overhead | 390,000 | 390,000 | 390,000 | ||||
fixed selling & adm expnes | 210,000 | 210,000 | 210,000 | ||||
total fixed expense | 600,000 | 600,000 | 600,000 | ||||
net income /loss | 0 | -120,000 | 60,000 | ||||
3a) | Absorptiong costing | ||||||
year 1 | year 2 | year 3 | |||||
Direct mterials | 20 | 20 | 20 | ||||
direct labor | 12 | 12 | 12 | ||||
VMOH | 3 | 3 | 3 | ||||
FMOH | (390000/units prod) | 7.8 | 6 | 13 | |||
total unit product cost | 42.8 | 41 | 48 | ||||
year 1 | year 2 | year 3 | |||||
unit product cost | 42.8 | 41 | 48 | ||||
3b) | income statement | ||||||
year 1 | year 2 | year 3 | |||||
sales | 2400000 | 1920000 | 2640000 | ||||
cost of goods sold | 2140000 | 1640000 | 2465000 | ||||
gross margin | 260000 | 280000 | 175000 | ||||
Selling and adm exp | 260,000 | 250,000 | 265,000 | ||||
net income/loss | 0 | 30,000 | -90,000 | ||||
cost of goods sold for year 3 = 25000*41 + 30000*48 |