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If exactly 186 people sign up for a charter flight, Leisure World Travel Agency charges $302/person....

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Basic Math

If exactly 186 people sign up for a charter flight, LeisureWorld Travel Agency charges $302/person. However, if more than 186people 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 186. Show that the revenue function R isgiven by

R(x) = (186 +x)(302 − x).

-------- passengers

What is the maximum revenue?

$ ----

What would be the fare per passenger in this case?

  ---- dollars per passenger

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