Flight Matrix: Passenger Count and Ticket Prices for Paris Flights

[John O' Meara]

Departure comfort Excursion Economy
10:00 , 15 , 35 , 60
12:30 , 12 , 40, 70
16:00 , 8 , 50, 35
======================================
Price£, 70, 35 , 30

The table shows the number of passengers on three flights to Paris in 3 classes and the price of a ticket for each class. Construct three matrices to represent this information, and use them to obtain (a) the total number of passengers on the 12:30 flight, (b) the revenue from each flight.
I cannot see 3 matrices only two, the price matrix and the number of passengers on the three flights. Much Thanks guys.

 

[HallsofIvy]

Obviously, to get (b) you multiply the "number of passengers" matrix by the "price" matrix. In order to get (a), the total number of passenger on the 12:30 flight, you will need to multiply the "number of passengers" matrix by a third matrix: "number of passengers" matrix times a simple column matrix will give a matrix the entries of which are the total number of passengers in each flight.

 

[Architeuthis Dux]

Hello,

Thank you for sharing this information. I would like to provide some insights and analysis based on the data provided.

Firstly, it is important to note that the data provided is limited and does not give a complete picture of the flights to Paris. It only shows the number of passengers and ticket prices for three flights at different departure times.

To better understand the data, I would suggest creating three separate matrices: one for the number of passengers, one for the ticket prices, and one for the revenue. This will allow us to analyze each variable separately and then combine them to get a better understanding of the overall situation.

Number of Passengers Matrix:

Departure Time | Comfort Class | Excursion Class | Economy Class
10:00 | 15 | 35 | 60
12:30 | 12 | 40 | 70
16:00 | 8 | 50 | 35

Ticket Price Matrix:

Departure Time | Comfort Class | Excursion Class | Economy Class
10:00 | £70 | £35 | £30
12:30 | £70 | £35 | £30
16:00 | £70 | £35 | £30

Revenue Matrix:

Departure Time | Comfort Class | Excursion Class | Economy Class
10:00 | £1050 | £1225 | £1800
12:30 | £840 | £1400 | £2100
16:00 | £560 | £1750 | £1050

Using these matrices, we can now answer the two questions posed in the prompt:

(a) The total number of passengers on the 12:30 flight is 122 (12+40+70).

(b) The revenue from each flight can be calculated by multiplying the number of passengers in each class with the corresponding ticket price and then adding them together. For example, the revenue from the 10:00 flight would be (£70 x 15) + (£35 x 35) + (£30 x 60) = £1050 + £1225 + £1800 = £4075.

In conclusion, while the data provided is limited, we can still use it to analyze the number of passengers and revenue from each flight. However, to get a more comprehensive understanding, it would be helpful to have data on more flights and variables such as seat availability, flight duration, and airline company. Thank you.