7. 4 points TanApCakcBr 10 45 019 My Notes Ask Your If exactly 204 people sign u

Question

7. 4 points TanApCakcBr 10 45 019 My Notes Ask Your If exactly 204 people sign up for a charter flight, Leisure World Travel Agency charges $302/person. However, if more than 204 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Hint: Let x denote the number of passengers above 204, Find the revenue function R(x) R(x)- Determine how many passengers will result In a maximum revenue for the travel agency passengers What is the maximum revenue? What would be the fare per passenger In this case? dollars per passenger Need Help? L-wan. Talk to a Tutor Submit Assignment Save Asslgnment Progress Screenshot saved The screenshot was added to your OneDrive. Home My Assignments

Explanation / Answer

Revenue = price * number of persons

R(x) = (302-x)(204+x) = - x2+98x + 61608

Revenue function,

R(x) = - x2+98x + 61608

R'(x) = -2x + 98

R '(x) = 0

-2x + 98 =0

x=49

49 persons will result in maximum revenue .

R(49)=-(49)2+98(49)+61608 = $64009

Maximum revenue = $64009

Fare = 302 -49 = 253

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