This question is not about solving the stated problem, but about understanding it.

A company's profit when it sells x thousand items is predicted to be $\displaystyle {P}{\left({x}\right)}=-{2}{x}^{{2}}+{950}{x}-{14000}$.

a) What is the company's startup costs? (hint: this would be their profit if they produced no items)

To answer this question, we'd find: Select an answer The x intercept The P intercept The x coordinate of the vertex The P coordinate of the vertex

b) How many items does the company need to sell to break even?

To answer this question, we'd find: Select an answer The x intercept The P intercept The x coordinate of the vertex The P coordinate of the vertex

c) How many items should the company sell to maximize profit?

To answer this question, we'd find: Select an answer The x intercept The P intercept The x coordinate of the vertex The P coordinate of the vertex