Required: 1. Compute the company’s break-even point in units sold. Assume the company uses variable costing:

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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 $20
Direct labor $12
Variable manufacturing overhead $4
Variable selling and administrative $2
Fixed costs per year:
Fixed manufacturing overhead $ 960,000
Fixed selling and administrative expenses $ 240,000

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 $58 per unit.

Required:
1. Compute the company’s break-even point in units sold.

Assume the company uses variable costing:

a.
Compute the unit product cost for year 1, year 2, and year 3.

Prepare an income statement for year 1, year 2, and year 3.
Assume the company uses absorption costing:

a.
Compute the unit product cost for year 1, year 2, and year 3

Prepare an income statement for year 1, year 2, and year 3.

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Answer:

1

. Compute the company’s break-even point in units sold.

Seeling Price Per Unit 58
Less:  
Variable Cost Per Unit -38
Contribution Margin 20

 

 

BEP = Fixed Cost / Contribution Per Unit

= 960,000+240,000  / 20

=1100,000 /20

=60,000 units

 

2

. Compute the unit product cost for year 1, year 2, and year 3.

 

 

  Year 1 Year 2 Year 3
Direct Materil 20 20 20
Direct Labour 12 12 12
Variable Manu.Over Head 4 4 4
Variable costing Unit Product Cost 36 36 36

 

Variable Costing Income statement

  Year 1 Year 2 Year 3
Sales 3480000 2900000 3770000
  60000*58 50000*58 65000*58
Less:      
Variable Expnses 2160000 1800000 2340000
Selling and Admin Expnses 120000 100000 130000
Contribution Margin 1200000 1000000 1300000
Less: Fixed Exp      
Manu Overhead 960000 960000 960000
Selling And Admin OH 240000 240000 240000
  0 -200000 100000

3

Assume the company uses absorption costing:

Compute the unit product cost for year 1, year 2, and year 3

  Year 1 Year 2 Year 3
Direct Materil 20 20 20
Direct Labour 12 12 12
Variable Manu.Over Head 4 4 4
Fixed Manu Over Head 16 12.8 24
Variable costing Unit Product Cost 52 48.8 60
Fixed Manu OH Year1
Fixed Manu OH  / Produced Unis 960000/60000 16
Fixed Manu OH Year2
Fixed Manu OH  / Produced Unis 960000/75000 12.8
Fixed Manu OH Year3
Fixed Manu OH  / Produced Unis 960000/40000 24

 

  Year 1 Year 2 Year 3
Sales 3480000 2900000 3770000
  60000*58 50000*58 65000*58
Less:      
Cost of Goods Sold 3120000 2440000 3900000
Contribution Margin 360000 360000 -260000
Less:      
Selling and Admin Expnses Variable 120000 100000 130000
Selling And Admin OH 240000 240000 240000
  0 20000 -630000

 

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