The revenue R from selling x number of phone widgets is given by , and the cost C of producing those widgets is given by . Find the number of widget it requires to break even.

You seem to have omitted two important formulas that follow the "is given by" phrases.

Math is about numbers. You need to provide them, and ask a complete question.

To find the number of phone widgets required to break even, we need to set the revenue equal to the cost and solve for the variable x.

Given:
Revenue (R) =
Cost (C) =

To find the break-even point, we need to set R = C and solve for x.

Setting R = C:

Equating the two expressions and solving for x:

x =

So, the break-even point is when the number of phone widgets produced and sold is x = .

Please note that I couldn't provide the specific equations for revenue and cost since they were not provided in the question. To find the exact value, substitute the given expressions for revenue and cost into the equation and simplify it further.