Question

The cost C to produce x number of tennis rackets is C=190+18x. The tennis rackets are sold wholesale for $23 each, so revenue Ris given by R=23x. Find howmany tennis rackets the manufacturer needs to produce and sell to break even.

Answer 1

38 rackets

Explanation:

The break even point is when the cost is equal to the revenue, therefore, we make the following equality:

`190+18x=23x`

We solve for x, and so we can know the number of rackets needed:

`\begin{gathered} 23x-18x=190 \\ 5x=190 \\ x=(190)/(5) \\ x=38 \end{gathered}`

It takes 38 rackets to break even.