Suppose supply is perfectly inelastic, while demand is relatively elastic. A tax of $1.00 is levied on the purchasers of the good. Which of the following statements is correct?

a) the government will fail to raise any tax revenue

b) there will be a positive deadweight loss

c) there will be no deadweight loss

d) governmwnt revenue will be less than the deadweight loss of the tax

answer is c, but I can't understand why the answer is C.