Question

3. Disney on Ice is traveling to Chicago to perform. The revenue from their ticketsales is a function of the ticket price, x, and can be modeled with (x - 3)(450 – 3x).What are the ticket prices at which Disney on Ice would make no money at all?Type Here:Explain or show your reasoning.Type Here:

Answer 1

They would not earn money when the function is equal or less to 0

then we equal 0

$(x-3)(450-3x)\leq0\text{ }$

we will have two answers when clear x

$\begin{gathered} (x_1-3)\leq0 \\ x_1\leq3 \\ (450-3x_2)\text{ }\leq\text{0} \\ 450\leq3x_2 \\ x_2\ge\frac{450}{3} \\ x_2\ge150 \end{gathered}$

they won't make money when the ticket price is equal or less than 3 or when the ticket price is equal or greater than 150

the correct expression for not making money is :

$(-\infty,3\rbrack\text{ }\lbrack150,\infty)$