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34 votes
How do I find the break even for this question?

How do I find the break even for this question?-example-1
User Greenish
by
2.5k points

1 Answer

23 votes
23 votes

As given by the question

There are given that the equation


p=-7x^2+133x-150

Now,

Solve the above equation for the value of x

So,


\begin{gathered} p=-7x^2+133x-150 \\ p=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}

Then,


\begin{gathered} p=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ p=\frac{-133\pm\sqrt[]{(133)^2-4*(-7)*(-150)}}{2(-7)} \\ p=\frac{-133\pm\sqrt[]{17689^{}-4200}}{-14} \\ p=\frac{133\pm\sqrt[]{13489}}{14} \end{gathered}

Then,


\begin{gathered} p=\frac{133\pm\sqrt[]{13489}}{14} \\ p=17.7968,\text{ 1.204} \end{gathered}

Hence, the 2 tickets price will be, $17.79 and $1.20.

User VallaDanger
by
3.0k points
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