Answer :

Given:


Cost function C(x) = 25000 + 30x


Revenue function R(x) = 43x


To Find:


Number of cassettes to be sold to realize some profit


In order, to gain profit: R(x) > C(x)


Therefore,


43x > 25000 + 30x


25000 + 30x < 43x


Subtracting 30x from both the sides in above equation


25000 + 30x – 30x < 43x – 30x


25000 < 13x


Dividing both the sides by 13 in above equation



1923.07 < x


Thus, we can say that 1923 cassettes must be sold by the company in order to realize some profit.


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