The demand function for automobile travel along a major corridor in a medium-sized city is estimated to be Q=aA-22 B0.13 C-0.4 D0.75 where Q=automobile trips per hour (peak-hour) a = Constant A = Travel time by automobile in minutes B = travel time by bus in minute C = Average cost by automobile D = Average cost by bus (a) Justify the signs (+ or -) of the exponents of parameters A, B, C, and D. (b) Because of congestion likely to occur on this corridor, the travel times of automo- biles would increase by 20%, and travel times of buses would increase 10%. At the same time, auto travel costs rise 5% and bus costs decrease 15%. What will be the percentage change in auto traffic? (c) If the average cost of travel by bus increases by 10%, but the travel time by bus de- creases by 10%, what would be the overall percentage increase or decrease in auto travel?

The demand function for automobile travel along a major corridor in a medium-sized city is estimated to be Q=aA-22 B0.13 C-0.4 D0.75 where Q=automobile trips per hour (peak-hour) a = Constant A = Travel time by automobile in minutes B = travel time by bus in minute C = Average cost by automobile D = Average cost by bus (a) Justify the signs (+ or -) of the exponents of parameters A, B, C, and D. (b) Because of congestion likely to occur on this corridor, the travel times of automo- biles would increase by 20%, and travel times of buses would increase 10%. At the same time, auto travel costs rise 5% and bus costs decrease 15%. What will be the percentage change in auto traffic? (c) If the average cost of travel by bus increases by 10%, but the travel time by bus de- creases by 10%, what would be the overall percentage increase or decrease in auto travel?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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