$4.(9$N$11\mathrm{.}1$&$11\mathrm{.}5)$ Suppose that the demand for broccoli is given by: Q P $1,0005$ where Q is quantity per year measured in hundreds of bushels and P is the price in dollars per hundred bushels. The long$-$run supply curve for broccoli is given by: Q P $480$ A$.$ Find the equilibrium price and quantity? B$.$ What is consumer surplus at this equilibrium? C$.$ What is producer surplus at this equilibrium? For the rest of the problem, suppose the government institutes a $$45$ per$-$hundred$-$bushel tax on broccoli. D$.$ How would this tax affect equilibrium in the broccoli market? $($Hint find new quantity and two prices$).$ E$.$ How would this tax burden be shared between buyers and sellers of broccoli? F$.$ What is the dead weight loss of this tax?