Calculating tax incidence: Suppose that the local government of Raleigh decides to institute a tax on cider producers. Before the tax, 60,000 cases of cider were sold every week at a price of $10 per case. After the tax, 55,000 cases of cider are sold every week; consumers pay $12 per case, and producers receive $8 per case (after paying the tax).
The amount of the tax on a case of cider is $___ per case. Of this amount, the burden that falls on consumers is $ per case, and the burden that falls on producers is $___ per case.