# A Company Produces a Commodity with Rs. 24,000 as Fixed Cost. the Variable Cost Estimated to Be 25% of the Total Revenue - Mathematics

Sum

A company produces a commodity with Rs. 24,000 as fixed cost. The variable cost estimated to be 25% of the total revenue received on selling the products, is at the rate of Rs. 8 per unit. Find the break-even point.

#### Solution

If break even point
Revenues = Variable cost + Fixed cost  Let the total revenue be ‘x’

therefore x = 25% of x+24000

therefore x = x/4+ 24000
(3x)/4 = 24000          therefore x = 8000xx4 = 32000

therefore x = x/4+24000

therefore (3x)/4=24000      therefore x=8000xx4 =32000

therefore total revenue = Rs. 32000

∴ break  even point (in units) = 32000/8 = 4000  units

Concept: Application of Calculus in Commerce and Economics in the Profit Function and Breakeven Point
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