Hello can you please help me with this problem?

Exercise 2:

There are two movie theaters in the town of Artegna: Modern Multiplex, which shows first-run movies, and Sticky Shoe, which shows movies that have been out for a while at a cheaper price. The demand for movies at Modern Multiplex is given by Q_MM = 14 - P_MM + P_SS, while the demand for movies at Sticky Shoe is Q_SS = 8 - 2P_SS + P_MM, where prices are in dollars and quantities in are measured in hundreds of moviegoers. Modern Multiplex has a per-customer cost of 4$, while Sticky Shoe has a per-customer cost of only 2$.

(a)In the demand equation alone, what indicates whether Modern Multiplex and Sticky Shoeoffer services that are substitutes or complements?

(b)Write the profit function for each theater in terms of P_SS and P_MM. Find each theater's best-response function.

(c)Find the Nash equilibrium price, quantity, and profit for each theater.

(d)What would each theater's price, quantity , and profit be if the two decided to collude to maximize their joint profits in this market? Why isn't the outcome of this collusion a Nash equilibrium?