A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space to serve up to 15 000 people per day. The cost to ride the bus is $20. Market research shows that if the fare increases by $0.50, 200 fewer people will ride the bus. What fare should be charged to get the maximum revenue, given that the bus company must have at least $130 000 in fares a day to cover operating costs?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A bus service carries 10 000 people daily between Ajax and Union Station,
and the company has space to serve up to 15 000 people per day. The cost to
ride the bus is $20. Market research shows that if the fare increases by
$0.50, 200 fewer people will ride the bus. What fare should be charged to
get the maximum revenue, given that the bus company must have at least
$130 000 in fares a day to cover operating costs?
Transcribed Image Text:4 A bus service carries 10 000 people daily between Ajax and Union Station, and the company has space to serve up to 15 000 people per day. The cost to ride the bus is $20. Market research shows that if the fare increases by $0.50, 200 fewer people will ride the bus. What fare should be charged to get the maximum revenue, given that the bus company must have at least $130 000 in fares a day to cover operating costs?
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