A. WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 252 4x. The cost of producing x widgets is given by C(x) = 1,790 + 33x.

1. Construct the profit function, P(x).
2. Find the production level that will result in the maximum profit.
3. Find the maximum monthly profit.

Enter your answer to part c in the box below.

Round your answer to the nearest cent.

B. WidgCo is a company that produces and sells widgets. The marketing department determines that the price per widget (p), measured in dollars, and the daily demand for widgets (x) are related by the following demand equation: