Wednesday, 8 August 2018

Cost-Volume-Profit Analysis - formula

CVP formula

The BEP can be obtained either in units or in RM. Therefore it is important to know the relevant information needed to calculate using the the given formula;

To find how many units to produce to break-even,

BEP(units) = Fixed Cost/Contribution Margin

To find the break-even in Ringgit,

BEP(RM) = Fixed Cost/Contribution Margin %

Sometimes, we put a figure to target certain profit, the BEP in units,

BEP(units) = (Fixed Cost + Targeted Profit)/Contribution Margin

Same goes to the targeted profit, the BEP in Ringgit,

BEP(RM) = (Fixed Cost + Targeted Profit)/Contribution Margin %

Example 1

Below are the cost to manufacture product XYZ in period 1

Direct material      RM       6
Direct labour                    3
Direct expenses                2
Rental                        5,000
Salary                       12,000

Selling price           RM    20

Solution;

Total Variable cost per unit (RM) = DM + DL + DE
                                                 = 6 + 3 + 2
                                                 = 11

Total fixed cost (RM)                  = Rental + Salary
                                                 = 5,000 + 12,000
                                                 = 17,000

Contribution margin (RM)            = Selling price - Variable cost
                                                 = 20 - 11
                                                 = 9

Contribution margin(%)               = CM/Selling price
                                                 = 9/20
                                                 = 45%

Using the formula;

BEP(units) = Fixed Cost/Contribution Margin

                  = 17,000/9
                  = 1,889 units


BEP(RM) = Fixed Cost/Contribution Margin %

                = 17,000/45%
                = RM37,778 


Example 2

If the management wants an additional profit (targeted profit) then,

Targeted profit (RM)        = RM10,000

BEP(units) = (Fixed Cost + Targeted Profit)/Contribution Margin

                  = (17,000 + 10,000)/9
                  = 3,000 units


BEP(RM) = (Fixed Cost + Targeted Profit)/Contribution Margin %

                = (17,000 + 10,000/45%
                = RM60,000 




However, the above formula can only be applied for a single product.

If there are changes in the selling price, variable cost and fixed cost, the formula can be adjusted accordingly. 

But.....in order to get this formula works for you, all of the above should remain constant at the time you are doing the calculation. All must be constant.



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