A company manufactures cassettes. Its cost and revenue functions are C(x)=26000+30xand R(x)=43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?

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Solution

Profit=R(x)-C(x)=43x - (26000 + 30x)=13x-26000
To earn some profit,
Profit >0
13x-26000>0
13x>26000
x>2000

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A company manufactures cassettes. Its cost and revenue functions are C(x)=26000+30xand R(x)=43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?

Profit=R(x)-C(x)=43x - (26000 + 30x)=13x-26000To earn some profit,Profit >013x-26000>013x>26000x>2000

Profit=R(x)-C(x)=43x - (26000 + 30x)=13x-26000
To earn some profit,
Profit >0
13x-26000>0
13x>26000
x>2000