Suppose that business travelers and vacationers
have the following demand for airline tickets
from New York to Boston:
Quantity Demanded Quantity Demanded
Price (business travelers) (vacationers)
$150 2,100 tickets 1,000 tickets
200 2,000 800
250 1,900 600
300 1,800 400
a. As the price of tickets rises from $200 to
$250, what is the price elasticity of demand
for (i) business travelers and (ii) vacationers?
(Use the midpoint method in your
calculations.)
b. Why might vacationers have a different
elasticity from business travelers?
Elasticity of demand depicts how much a consumer responds to change in price level.
(a)
"Ed=\\frac{\\frac{Q_2-Q_1}{\\frac{Q_2+Q_1}{2}}}{\\frac{P_2-P_1}{\\frac{P_2+P_1}{2}}}"
(i)
For business travelers
"Ped,Ed=\\frac{ \\frac{1900-2000}{\\frac{1900+2000}{2}}}{\\frac{250-200}{\\frac{250+200}{2}}}"
"Ed=-0.23"
"|Ed|=-0.23<1; inelastic"
(ii)
"Ped,Ed=\\frac{ \\frac{600-800}{\\frac{600+800}{2}}}{\\frac{250-200}{\\frac{250+200}{2}}}"
"Ed=-1.29"
"|Ed|=-1.29<1;inelastic"
(b)
Vacationers are casual with their plan whereas business travelers are traveling with business purpose thus their elasticity of demand for tickets is less affected with change in price.
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