# John owns a hotdog stand. He has found that his profit is represented b the equation #P= -x^2 +60x +70#, with P being profits and x the number of hot dogs. How many hotdogs must he sell to earn the most profit?

##### 1 Answer

May 20, 2017

30

#### Explanation:

As the coefficient of

Note that maximum occurs at the vertex.

Write as:

Using part of the method for completing the square: