If the Demand for Good X Is Perfectly Inelastic and a Tax

If the demand for good X is perfectly inelastic and a tax is levied on the producers of each unit:

A) consumers pay the entire tax,and deadweight loss will occur because the equilibrium quantity of good X falls.
B) consumers pay the entire tax,and there is no deadweight loss because the equilibrium quantity of good X remains constant.
C) consumers and producers share the burden of the tax,and there is no deadweight loss because the equilibrium quantity of good X remains constant.
D) producers pay the entire tax,and deadweight loss will occur because the equilibrium quantity of good X falls.