please help me to solve this homework

Suppose Amtrak has an inverse demand of P = 125 0.2 5Q, where Q measures the quantity of tickets and P is the price per ticket. The marginal cost is given by MC = 5 + 0.5Q. You can use the sketch below to help you get started and to help with identifying/labeling values you will need to find. Price ($) MC Quantity a. If Amtrak (the train industry) were competitive, what would the competitive quantity and price be? Find these values mathematically. b. Amtrak is known to have a great deal of market power. Therefore, we can treat it like a monopolist. Under this market structure, how many tickets will they sell and what price will they sell each ticket for in order to maximize profit? Find these values mathematically. c. Calculate the company's producer surplus as a monopoly. Also, calculate the consumer surplus. Find these values mathematically. d. What is the deadweight loss caused by the monopoly? Find the value mathematically