Question

Question #143fc

Answer 1

Please see below.

Explanation:

The revenue is a quadratic function. Its graph is a parabola.

Parabolas/quadratics have maximum or minimum at the vertex.

`R(x) = (30)(4000)-3000x+4000x-100x^2`

`= 1200000+1000x-100x^2`

Now use whatever method you've learned to find the `x` value of the vertex.

The vertex formula `x=-b/2a` gives us

`x = -1000/(2(-100)) = 1000/200=10/2=5`

So we should change the price from the base of `$30` by adding `$5`

The price should be `$35`