Consider a market for electric vehicles with demand given by D(p)=100-p. Xiaoniu is a producer in this market, facing a cost function given by c(y)=20y. a. Suppose Xiaoniu is the only supplier (a monopolist) in the market. How many vehicles will be produced? What is the equilibrium market price? What will be the producer's surplus? What will be the consumer's surplus? What is the deadweight loss? (7pts) b. Suppose in addition to Xiaoniu, another firm, Aima, also produces electric vehicles. The cost function for Aima is given by c(y)=30y. If Xiaoniu and Aima simultaneously set output levels, how many vehicles will be produced by each firm in equilibrium? What is the equilibrium price? (4pts) c. Suppose in addition to Xiaoniu, another firm, Aima, also produces electric vehicles. The cost function for Aima is given by c(y)=30y. Xiaoniu is the market leader and set its output level first. Aima sets its own output level after observing Xiaoniu' output level. How many vehicles will be produced by each firm in equilibrium? What is the equilibrium price? (4pts)