SOLUTION: A plane with 150 seats may be chartered for$240 per person plus a fee of $6 per person for each empty seat. What number of passengers will provide the maximum income?

Question 1155802: A plane with 150 seats may be chartered for$240 per person plus a fee of $6 per person for each empty seat. What number of passengers will provide the maximum income?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of filled seats
Let = the income
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This is:
[ Income ] = [ price/passenger x filled seats ] + [ cost/ empty seat x empty seats x filled seats ]

The n-value of the peak is at:

95 passengers give the maximum income
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check:
The max income is:

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Here is the plot:

Looks like a match with my answer

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