trying to find help in solving and if I'm on the right track.

2.The profit function for a company is P(x) = - 36x² + 1875x - 6500 where Profit is in dollars,

and x represents the number of widgets manufactured.

The profit function is a quadratic function. Does the function open up or down?

Find the vertex of the profit function P(x) using algebra.

State the maximum profit and the number of widgets which yield that maximum profit.

The maximum profit is _______________when ____________ widgets are produced and sold.

What are the minimum start-up costs?

Find and interpret the break-even point.