A local club is arranging a charter flight to Hawai. The cost of the trip is $58

Question

A local club is arranging a charter flight to Hawai. The cost of the trip is $586 each for 84 passengers, with a refund of $5 per passenger for each passenger in excess of 84 a. Find the number of passengers that will maximize the revenue received from the flight. b. Find the maximum revenue. a. The number of passengers that will maximize the revenue received from the flight is (Round to the nearest integer as needed.) b. The maximum revenue is Enter your answer in each of the answer boxes. Search or enter website name esc

Explanation / Answer

let # of passengers be (84 + x)
revenue R = $ (586 - 5x)(84+x)
= 49224 + 586x - 420x - 5x^2
= 49224+ 166x - 5x^2
dR/dx = 166-10x & d2R/dx is -ve,
so to maximize revenue, dR/dx = 0,which gives
x = 16.6 =>17

# of passengers for max revevnue = 84 + 17
= 101

qb
max revenue = (586- 5*17)(101)
= $50,601

any doubt please leave your comeents. otherwise rate my answer. thanks

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