Question

Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $336/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $4 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. X passengers What is the maximum revenue? $ x What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) X dollars per passenger Need Help? Read It Talk to a Tutor Submit Answer

Answer 1

Let the total people sign up for cusise charogel pooson - 336-42 Revenue (26+x) (636-42) Rox=20x336-80x+336x-4002 R(x)=6720 +256x-4x2 Q60=0 i for maximum devenue Rix) = 256-82 = 256 100=32] No of 32+20 = 6 passedegers max devenue (20+32) (336 - 128) = $10,816 ☺ fare per persona 10816 $208 52 $208 CS Scanned with CamScanner

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