please show work

Written Question: Given below are the Demand and Supply functions for consumers and suppliers. Supply function: Qs = 4P Demand function: Qp =30-P Please answer the following questions using the equations above. Notel That while it is not necessary to show work, if you have the wrong answer I can give partial credit for showing your process. 1) Graph the equations (make sure to label the graphs appropriately and clearly) 2) Find the equilibrium price and quantity 3) Calculate the Consumer and Producer surplus for each market 4) If the government imposed a price ceiling of 3 dollars ( P = 3), how would this effect: a. Quantity demanded, Quantity supplied, Consumer and producer surplus, and will it result in a shortage/surplus