Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6
6*35+ 24*40 = 210+960= $1170
Given details
To make a complete tour, at least 1 economy seats
and 6 deluxe seats
Maximum passengers per tour = 30
"Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold"
Therefore, to maximise profit, he needs to take more of economy seats
Hence
Let a deluxe seat be x and economy seat be y
Maximise
6 x+ 24y = 30
The maximum profit from one tour is = 6*35+ 24*40 = 210+960= $1170
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