Suppose that business travelers and vacationers have the following demand for airline tickets from New York to Boston:
PriceQuantity Demanded (business travelers)Quantity Demanded (vacationers)$150 2,100tickets 1,000tickets 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?
1) Price elasticity of demand for business travellers.
Formula.
Percent change in quantity demanded/percent change in price.
Percent change in quantity demanded "= \\frac{q_2-q_1}{q_1}"
"=\\frac{2000-1900}{2000} \\\\\n\n=\\frac{100}{2000} \\\\\n\n=0.05"
Percent change in price "= \\frac{p_2-p_1}{p_1}"
"=\\frac{200-250}{200} \\\\\n\n=\\frac{-50}{200} \\\\\n\n=-0.25"
Therefore.
"\\frac{0.05}{-0.25}=-0.2"
Therefore price elasticity of demand for business travellers=-0.2
2) For vacationers.
Percent change in quantity demanded
"= \\frac{800-600}{800} \\\\\n\n=\\frac{200}{800} \\\\\n\n=0.25 \\\\\n\n\\frac{0.25}{-0.25} =-1"
Therefore price elasticity of demand for vacationers=-1
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