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What impact do income taxes have on the sales volume required to earn a desired after-tax...

What impact do income taxes have on the sales volume required to earn a desired after-tax profit?

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Answer:-

The sales volume required to earn desired after tax profit would be more in case of a firm which is subject to income tax rather than a firm which is not subject to income tax. This is because in the case of firm subject to income tax the amount of after tax desired profit has to be grossed up to desired profit before tax to arrive at the figure of sales volume required.

The following illustration will help understand the impact income taxes have on the sales volume required to earn a desired after tax profit:-

Suppose there are two firms A & B. The firm A is subject to 20% taxes and firm B is exempt from income tax. The data for both the firms is as:-

  

Firm A Firm B
Sellin Price per unit $250 $250
Variable Cost per unit $150 $150
Fixed Costs $50000 $50000
Desired Profit After Tax $30000 $30000
A B
Desired profit After Tax $30000 $30000
Tax rate 20% Nil
Desired profit before Taxes(Desired profit/(1-Tax rate)) $37500($30000/1-.20) $30000
Contribution/unit=Sellin price/unit - V. costs per unit $250 - $150= $100 $250 - $150= $100
Sales Volume required to earn desired profit= (Fixed Costs + Desired Profit)/Contribution/unit (Fixed Costs + Desired Profit)/Contribution/unit
Sales Volume required to earn desired profit= ($50000+$37500)/$100 ($50000+$30000)/$100
Sales Volume required to earn desired profit= 875 Units 800 Units

This shows that Firm A has to sell more units than Firm B to earn the same profit after taxes.

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