Please help, and please dont give the same answer that Chegg has for this question, I am trying to learn how to do it. Thank you for your help!

1. [26] Imagine that you wake up from a night of too much studying and nd yourself in an alternate universe. It's the year 2007. The Latin-crossover sensation Despocioo has hit the airwaves in a big way, it is destined to become the number 1 selling ring-tone of all time. Demand for this wonderful melody is given by Q = 360 - 3p. There are only tworms that produce this coveted product, they both have cost function c, = 69 + of. wherej = 1,2 denotes the rm. Total production of Despocfto ring-tones is equal to the output from the two rms. 3. [6] Suppose the two rms compete on quantities. Find the Cournot-Nash equilibrium price and output of each rm. How much profit does each rm make? a. [8] Suppose that the two rms decide to form a cartel. What will the fin'ns' prots be under a collusive arrangement? Are their prots different than in partia}? Explain the intuition behind your nding. 1:. [4] Is the cartel is a stable arrangement in a one period interaction? ShowI supporting calculations. cl. [8] Suppose instead that rm 2 has more foresight and gets the ring-tone to market faster. becoming the market leader, and that the rms continue to engage in quantity competition. i. [6] How much prot does each rm make? ii. [2] Are consumers better off under this market structure than under a simultaneous quantity setting duopoly? Explain your reasoning without caiculatlng consumer surplus explicitly