Equilibrium Price Question?

Suppose the equilibrium price of textbooks is $40 a textbook. At that price, quantity of textbooks demanded and supplied is 25,000. If a $6 tax per textbook paid by consumers increases equilibrium price to $44 a textbook and reduces equilibrium quantity sold to 18,000, elasticity of demand is:
a.3.42 and elasticity of supply is 6.35. Consumers pay a larger portion of the tax
b.0.29 and elasticity of supply is .16. Consumers pay a smaller portion of the tax
c.1.4 and elasticity of supply is 2.16. Suppliers pay a larger portion of the tax
d.0.7 and elasticity of supply is 46. Suppliers pay a smaller portion of the tax

Answer:
a
Prior to the tax, buyers pay and sellers get $40 a book. After the tax is imposed, which creates a $6/book "wedge" between the prices that sellers get and buyers pay, buyers pay $44/book and sellers get $38/book. Since buyers now pay $4/book more and sellers get $2/book less, it is clear that the burden of the tax weighs twice as heavily on buyers as it does sellers. Specifically, the elasticity of supply must be about twice the absolute value of the elasticity of demand, so (a) is the only possible correct answer.

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