Sunday 28 October 2012

Break-even Point

Contribution


Sale unit price is constant and variable cost is also constant therefore each unit sold result in a unit profit which is known as contribution and the formula of calculating unit contribution.
Contribution = Sales – Variable cost

Conceptually the fixed cost is a period cost and therefore we must generate enough contribution to cover fixed cost. This situation where we able to cover over fixed cost are known as break-even point. This point is also known as no profit no loss situation.

Example of Break even


Sale Price = 20
Variable Cost = 16
Fixed Cost = 40,000

What is break-even point?

Solution

Unit contribution = 20-16
Unit contribution = 4
Required level =                      fixed Cost/unit Contribution
                          =          40,000/4
                         =           10,000 units

Desired Level Profit



The concept of break even may be further extended to get the desired level of profit and the formula is amended as below
Desired level of profit = (Fixed Cost + Desired Level of profit)/unit contribution


Example of Desired level of Profit


Example of Break even
Sale Price = 20
Variable Cost = 16
Fixed Cost = 40,000
Desired level of profit = 70,000
What is required contribution?

Solution


Unit Contribution = 20-16
                              = 4
Required level of contribution:    (40,000+70,000)/4
                                                         = 110,000/4
                                                         = 27,500 units



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