# applied problem

Help me study for my Mathematics class. I’m stuck and don’t understand.

The Dallas Morning News reported the findings of a study by the Department of Trans- portation that examined the effect on average airfares when new, low-priced carriers, such as Southwest Airlines or Vanguard Airlines, entered one of three city-pair markets: Baltimoreâ€“Cleveland, Kansas Cityâ€“San Francisco, or Baltimoreâ€“Providence. Use the fol- lowing excerpts from the newspaper article to calculate the arc elasticity of demand for each of the three city-pairs. How do the three computed elasticities compare? Based on the computed elasticities, describe travelers’ responsiveness to the reductions in airfares.

1. â€œ(In) Baltimore and Cleveland, for example, . . . just 12,790 people flew between those cities in the last three months of 1992, at an average fare of \$233. Then Dallas-based Southwest Airlines entered the market. In the last three months of 1996, 115,040 people flew between the cities at an average fare of \$66.â€
2. â€œ(On)theKansasCityâ€“SanFranciscoconnection…(during)thelastquarterof1994 some 35,690 people made the trip at an average fare of \$165. Two years later, after the arrival of Vanguard Airlines, fares had dropped to an average of \$107 and traffic had nearly doubled to 68,100.â€
3. â€œOn the Baltimoreâ€“Providence, R.I., route, where the average fare fell from \$196 to \$57, . . . the number of passengers carried jumped from 11,960 to 94,116.Please see the attachment

applied problem

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