Please show all work. Thanks!

Problem 5 Consider the following market that contains two firms selling similar products. Their inverse demand function is given below! p = 240 - 391 - 392 Assume the marginal cost for both firms is $24. (a) Assume these firms are competing using Cournot competition. Find the equilibrium prices, quantities, and profits for each firm. (b) Now, assume firms decide to compete using Stackelberg competition where Firm B is the first mover. Find the equilibrium prices, quantities, and profits for each firm. (c) If we assume these firms instead compete on price, what is their equilibrium price, quantity, and profits? (d) Finally, let's assume these firms act as a cartel. What are their equilibrium price, quantity, and profits