A high-speed rail finds that if it prices a cross-country ticket at $315, it will sell 270 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per day. Find the ticket price and the number of tickets sold that will maximize the railway's revenue. (The number of price reductions must be a whole number. So you may need to round the critical number.) Construct the price function: p(x) = Construct the quantity function: q(x) = Ticket Price: $ Number of Tickets: Total Revenue: $
A high-speed rail finds that if it prices a cross-country ticket at $315, it will sell 270 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per day. Find the ticket price and the number of tickets sold that will maximize the railway's revenue. (The number of price reductions must be a whole number. So you may need to round the critical number.) Construct the price function: p(x) = Construct the quantity function: q(x) = Ticket Price: $ Number of Tickets: Total Revenue: $
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:A high-speed rail finds that if it prices a cross-country ticket at $315, it will sell 270 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per
day. Find the ticket price and the number of tickets sold that will maximize the railway's revenue. (The number of price reductions must be a whole number. So you may need to
round the critical number.)
Construct the price function: p(x) =
Construct the quantity function: q(x)
Ticket Price: $
Number of Tickets:
Total Revenue: $
=
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