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?

how many deluxe seats and how many economy seats are there?

It doesn't say :/

To calculate the maximum profit from one tour, we need to determine the number of economy seats and deluxe seats that can be sold while meeting the minimum requirements and staying within the maximum capacity of 45 passengers.

Let's assume we sell all 14 required economy seats. This leaves us with a maximum capacity of 45 - 14 = 31 seats for deluxe passengers.

Now, let's try to sell as many deluxe seats as possible while still staying within the maximum capacity. Since we need to sell a minimum of 5 deluxe seats, we subtract that from the maximum capacity: 31 - 5 = 26.

Given this information, we know that we can sell a maximum of 14 economy seats and 26 deluxe seats while still meeting the minimum requirements and staying within the maximum capacity.

To calculate the maximum profit, we multiply the number of seats sold by the corresponding profit for each type of seat.

Profit from economy seats = 14 x $30 = $420
Profit from deluxe seats = 26 x $25 = $650

Therefore, the maximum profit from one tour is $420 + $650 = $1,070.