contestada

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.

Respuesta :

ANSWER:

38 rackets

STEP-BY-STEP EXPLANATION:

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

[tex]190+18x=23x[/tex]

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

[tex]\begin{gathered} 23x-18x=190 \\ 5x=190 \\ x=\frac{190}{5} \\ x=38 \end{gathered}[/tex]

It takes 38 rackets to break even.

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