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Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel Agency...

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Basic Math

Optimal Chapter-Flight Fare

If exactly 180 people sign up for a charter flight, LeisureWorld Travel Agency charges $316/person. However, if more than 180people sign up for the flight (assume this is the case), then eachfare is reduced by $1 for each additional person. Determine howmany passengers will result in a maximum revenue for the travelagency. Hint: Let x denote the number ofpassengers above 180. Show that the revenue function R isgiven by

R(x) = (180 +x)(316 − x).

passengers

What is the maximum revenue?

$

What would be the fare per passenger in this case?

dollars per passenger

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