The supply and demand equations for coffee are as follows: QS = -10 + 4P

QD = 50 2P

a. Find the vertical intercept, the horizontal intercept, and the slope for the demand and supply curves of coffee

b. Find the equilibrium price and quantity.

c. Draw the supply and demand curves along with the equilibrium

d. Suppose the price of tea increases, causing the demand for coffee to shift to the right by 30 units at every price. Calculate the new equilibrium.

e. Forget about the shift we had in part d and go back to the original demand and supply equations:

QS = -10 + 4P

QD = 50 2P

Now, suppose that the government levies a $6 per unit tax on the buyers of coffee. Find the new equilibrium. Does the incidence of the tax fall more heavily on the buyers or the sellers?