Question

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?

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!

Answer 2

The maximum profit that can be earned is $1325.

What is Profit?

The amount of money earned by selling goods or services is called the Profit.

The total number of seats in the bus is 45.

The minimum number of economy seats that must be sold is 14.

The minimum number of deluxe seats that must be sold is 5.

The profit earned by selling an economy seat is $30

The profit earned by selling a deluxe seat is $25

The more profit is earned by selling an economy seat, so Roland will try to sell more number of economy seat.

Let the number of deluxe seat sold is 5 and,

The number of economy seat sold is 40 out of the total 45 seats.

Then,

The profit will be,

40 * $30 + 5 * $25

= $ 1200 + $ 125

= $1325

Now if the deluxe seat is increased by 1 number and the economy seat is reduced by 1, the profit decreases to $1320.

So, the maximum profit that can be earned is $1325.

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