Suppose that the demand and supply curves for a good are given as follows:

Demand: Q_D=52- 2P_B Supply: Q_S= -2 + 4P_S Where: P_B is the price paid by buyers andP_Sis the price received by sellers.

Suppose a tax of $1 per unit is imposed on buyers.

a. Determine consumer surplus, producer surplus, total revenue and total surplus without tax. First, calculate the x-intercept and y-intercept, and the equilibrium price and quantity (10 marks).

b. Determine consumer surplus, producer surplus, total revenue and total surplus with tax. First, please calculate the x-intercept and y-intercept, and P_S and P_B and quantity with tax (10 marks)

c. Calculate the deadweight loss (5 marks)

You do not have to draw the graphs here.

Please explain all your steps to get the full marks. DO NOT JUST PUT THE FINAL REULTS.