Question

The publisher of an economics textbook finds that, when the book's price is lowered from $70 to $60, sales rise from 10,000 to 15,000. By the midpoint method, the price elasticity of demand is:

Answer 1

Answer:

Price elasticity of demand = 2.6

Explanation:

Given:

Old price (P0) = $70

New price (P1) = $60

Old sales (Q0) = 10,000 units

New sales (Q1) = 15,000 units

Computation of Price elasticity of demand(e):

Midpoint method

$e=\frac{\frac{Q1-Q0}{\frac{Q1+Q0}{2} } }{\frac{P1-P0}{\frac{P1+P0}{2} } }$

By putting the value:

$e=\frac{\frac{10,000-15,000}{\frac{10,000+15,000}{2} } }{\frac{60-70}{\frac{60+70}{2} } }\\e=\frac{\frac{-5,000}{\frac{25,000}{2} } }{\frac{-10}{\frac{130}{2} } }$

$e=\frac{\frac{-5,000}{12,500} }{\frac{-10}{65} }$

e =  2.6