What output levels will maximize profit and minimize profit

Question

Problem

1. A monopoly faces the total revenue schedule TR = 300q - 2q² and the total cost schedule TC = 12q³ - 44q² + 60q + 30. Are there two output levels at which MC = MR? Which is the profit-maximizing output?

2. If a firm faces the demand schedule p = 120 - 3q and the total cost schedule TC = 120 + 36q + 1.2q² what output levels, if any, will (a) maximize profit, and (b) minimize profit?

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.