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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Answer b.

Transcribed Image Text: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?
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