I know that the new quantity and new dwl is correct but I don't know how to calculate them. I do not want a graph to solve it please thank you

Monopoly #1 Suppose a monopolist faces: Inverse demand: 180 - q Marginal cost = 2q (Recall once more than the MR curve has twice the slope of the inverse demand curve) 1. What is the profit-maximizing quantity? 4 5 2. What is the profit-maximizing price? 135 3. What is the efficient/perfect competition quantity? 6 0 4. What would the price be in perfect competition? |2 0 5. What is the deadweight loss? 337 . 5 Monopoly #2 Same facts as above, except that we are going to be playing with price ceilings. (Hint: drawing a picture really helps you figure out DWL) 1. What if there was a price ceiling = 100 (below monopoly price AND below perfect competition price)? a. New quantity 50 b. New DWL 150