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Find number of passengers that maximizes total commission

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Reference no: EM131566939

Question: A sports club plans to charter a plane, and charge its members 10% commission on the price they pay to buy seats. That price is arranged by the charter company. The standard fare for each passenger is $800. For each additional person above 60, all travellers (including the first 60) get a discount of $10. The plane can take at most 80 passengers.

(a) How much commission is earned when there are 61, 70, 80, and 60 + x passengers?

(b) Find the number of passengers that maximizes the total commission earned by the sports club.

Reference no: EM131566939

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