The cost and revenue functions of a product are given by `C(x)=2x+400\ a n d\ R(x)=6x+20` respectively, where `x` is the number of items produced by the manufacturer. How many items the manufacturer must sell to realize some profit?

Explanation

To realize some profit, Revenue must be more than cost.

`=R(x) gt C(x)`

`=6x +20 gt 2x +400`

`=6x gt 2x +380`

`=4x gt 380`

`=X gt 95`

Manufacturer must sell at least `96` items to realize some profit.