Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy seats must be sold and at least 5 deluxe seats must be sold. The maximum number of passengers allowed on each boat in 45. Roland's Boat Tours makes $30 profit for each economy seat sold and $25 profit for each deluxe seat sold. What is the maximum profit from one tour?

Question

Raiden Mcbride

Mathematics

3 June, 02:09

Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy seats must be sold and at least 5 deluxe seats must be sold. The maximum number of passengers allowed on each boat in 45. Roland's Boat Tours makes $30 profit for each economy seat sold and $25 profit for each deluxe seat sold. What is the maximum profit from one tour?

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Sarge · Answer 1

The maximum profit would be $1325. Since they make less profit on deluxe seats, you want to get as few of those as possible. You also want to get as many people on the boat as possible, which is 45. The minimum number of deluxe seats you could sell is 5, so that's what we'll use for the max. profit. They make $25 off of each of those seats so 5 times $25 is $125. That leaves 40 economy seats, with a profit of $30 per seat. You have 40 spots left open, so we'll sell 40 economy seats, which will meet your minimum of 14 economy seats. 40 times $30 is $1200. Add $125 and $1200 to get $1325 and you have your maximum profit!