econ help please give in depth answers

In this section, you are presented with 5 separate math problems each worth 20 points. You are required to answer each of them. When writing your answer, CLEARLY label the number of the problem. Show all work that was necessary to get to your answer. Question 1: [20 pts] Imagine a static competition game between two firms. /Assume demand is P = 1-Q and there are no costs. (a) Do this for the two firms form Cartel and split the market. Find what is the Quantity and Price for each of the firm. (b) Do this for two Cournot competitors. Find the Quantity and Price for each of the firm. (c) Do this for two homogeneous Bertrand competitors. Find the Nash Equilibrium price and quantity for both of the firms