Word Problem - Airplane Route Efficiency

[canyouhearit]

Thank you for taking a read through this and providing any help you can.

There is data given for an airplane.

• Capacity (number of passengers) = 52
  Speed = 420 kts TAS
  Fuel Burn = 1270 kg / hr
  Turnaround Time = 45 mins

Expenses

• Fuel Cost = $239 / 1000 kg
  Other Costs For Route 1 = Total Fuel Cost * 2.16
  Other Costs For Route 2 = Total Fuel Cost * 1.08

Route 1 is 548 NM 1-way. A passenger pays $149 for a one-way ticket.
Route 2 is 1475 NM 1-way. A passenger pays $208 for a one-way ticket.

Avg LF% for each route's first leg is 55.2%. It is 47.8% for the second leg of each route. (Avg LF% = how many passengers board in relation to capacity)

Remember that you can't haul only part of a passenger and the plane must be back at its origin airport at the end of the 24 hour period. Turnaround time is time in between trips where the plane is grounded, spending nothing on fuel, and generating no revenue. Kts TAS = knots True Air Speed (speed), NM = nautical miles (distance), 1 kts = 1 nm / hr. It is assumed that whenever the plane is en route, it is moving at the given kts TAS.

----------

How much revenue, cost, and profit is generated from the airplane running each route in a 24 hour period?

 

[HallsofIvy]

How would you know that the "number of passengers" is 60 rather than 52 as originally given without knowing what plane is being referred to?

 

[Ishuda]

Thank you for taking a read through this and providing any help you can.

There is data given for an airplane.

• Capacity (number of passengers) = 52
  Speed = 420 kts TAS
  Fuel Burn = 1270 kg / hr
  Turnaround Time = 45 mins

Expenses

• Fuel Cost = $239 / 1000 kg
  Other Costs For Route 1 = Total Fuel Cost * 2.16
  Other Costs For Route 2 = Total Fuel Cost * 1.08

Route 1 is 548 NM 1-way. A passenger pays $149 for a one-way ticket.
Route 2 is 1475 NM 1-way. A passenger pays $208 for a one-way ticket.

Avg LF% for each route's first leg is 55.2%. It is 47.8% for the second leg of each route. (Avg LF% = how many passengers board in relation to capacity)

Remember that you can't haul only part of a passenger and the plane must be back at its origin airport at the end of the 24 hour period. Turnaround time is time in between trips where the plane is grounded, spending nothing on fuel, and generating no revenue. Kts TAS = knots True Air Speed (speed), NM = nautical miles (distance), 1 kts = 1 nm / hr. It is assumed that whenever the plane is en route, it is moving at the given kts TAS.

----------

How much revenue, cost, and profit is generated from the airplane running each route in a 24 hour period?

Start with some assumptions like ground speed is air speed so that time of trip is NM/TAS, ...


Revenue (R): R is the number of passengers times the price they paid times the trips made. So
Nuber of passengers = Depends on which route but 52 times the sum of LF for first leg plus LF for return leg.
Price Paid = Depends on which route, $149 or $208 per passenger.
Trips made = Depends on which route but general round trip is flight time (km traveled divided by speed) plus turn around time plus flight time back plus turn around time. How many full trips can you make in 24 hrs?

etc.

Edit: On turnarounds: You won't need that last turn around, depending on just how things need to be stated. For example suppose you could make 5 full of round trip flight in 20 hrs and 25 min figuring in turnaround time on both ends. That 4 hrs 5 min each so you don't have time for another round trip flight. However, since you really don't need that 45 min. turn around for the last flight, you could leave and be back in 3 hrs and 25 min and make one more round trip for a total time of 23 hrs 50 min. How so some-ever - the next day's first flight couldn't start until 00:35 and they could only get in 5 flights before 12 midnight. So, what's the answer? Is it 5 flights or 6 flights (or maybe 5.5 on average) which can be made?