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2. Professor Bell recently bought tickets for a Depeche Mode concert at p* = $140 per ticket. At that price, q* = 3,000 tickets were

2. Professor Bell recently bought tickets for a Depeche Mode concert at p* = $140 per ticket. At that price, q* = 3,000 tickets were sold. The price elasticity of supply for these tickets is ES = 3. The demand function for tickets is = 3,700 - 5p. a. Find the supply function. (2 points) b. Sketch the supply function and calculate the producer surplus (PS) at this equilibrium price and quantity. (3 points) c. Because of a new Covid strain the venue imposes seating restrictions. The new supply for tickets is = 9,000 64.29p. Calculate the new equilibrium price and quantity. Show the area in your graph that represents this change (labeling any relevant point), and also calculate the change in social surplus (relative to the initial equilibrium p* = $140, q* = 3,000) resulting from the seating restrictions. Is society better off or worse off? (3 points)

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