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At the price of 100, tourists demand 587 airplane tickets. At the same price, bu

ID: 1101139 • Letter: A

Question

At the price of 100, tourists demand 587 airplane tickets. At the same price, business travelers demand 527. At the price 120, tourists demand 127 tickets and business travelers demand 127. Assuming that the demand curves of business travelers and tourists are both linear over this price range, what is the price elasticity of demand at the price 100?
(a) - 3.86
(b) - 43
(c) - 4.63
(d) - 0.04
(e) None of the above.

(Please show work or explain. i already have the answer. just need to know how to solve it)

Explanation / Answer

Initial Price(P1) = 100

Final Price(P2) = 120

Initial Demand(D1) = 587+527 = 1114

Final Demand(D2) = 127 + 127 = 254

elasticity = {(D2-D1)/D1}/{(P2-P1)/P1} = (-430/557)/(1/5) = -3.86