Suppose demand for a good is given by the equation Q_d = 400 - 2P and the supply is given by the equation Q_s = 4P - 200, where P represents the price of the good (measured in dollars per unit) and Q represents the quantity of the good (measured in units per week).

a. Find the equilibrium price and quantity.

-EQUILIBRIUM PRICE-EQUILIBRIUM QUANTITY

400-2P=4P-200Q=400-2(100)=4(100)-200= $200

6P=600

P=$100

b. Suppose the government imposes a sales tax of $9 per unit on this good. Find the new the new equilibrium quantity, the post-tax price received by suppliers, and the post-tax price paid by demanders.