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-26000

To earn some profit,

Profit >0

13x-26000>0

13x>26000

x>2000

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Company realizes profit of R(x) - C(x)= 0

= 43x - (26000 + 30x) = 0

= 43x = 26000 + 30x

= 13x = 26000

= x = 2000.

Hope this helps you! :)

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