Airline Passenger Weight Calculation

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Airline Passenger Weight Calculation

Passenger & Cargo Weight Calculator

Enter the total count of adult passengers.
Standard average weight for an adult passenger (e.g., 80 kg).
Enter the total count of child passengers.
Standard average weight for a child passenger (e.g., 35 kg).
Estimated weight of carry-on luggage per person.
Estimated weight of checked luggage per person.
Weight of any additional cargo (e.g., mail, freight) in kilograms.

Calculation Summary

— kg
Adult Passenger Weight: — kg
Child Passenger Weight: — kg
Total Baggage Weight: — kg
Total Payload Weight: — kg
Formula Used:
Total Weight = (Adult Passengers * Avg Adult Weight) + (Child Passengers * Avg Child Weight) + ((Adult Passengers + Child Passengers) * Cabin Baggage Weight) + (Total Checked Baggage Weight) + Additional Cargo Weight

Weight Distribution Analysis

Legend:

  • Adult Passengers
  • Child Passengers
  • Cabin Baggage
  • Checked Baggage
  • Additional Cargo

Weight Load Table

Breakdown of Weight Components
Component Weight (kg)
Adult Passengers
Child Passengers
Cabin Baggage
Checked Baggage
Additional Cargo
Total Payload Weight

Airline Passenger Weight Calculation: A Comprehensive Guide

Accurate airline passenger weight calculation is a critical, albeit often overlooked, aspect of aviation safety and operational efficiency. It forms the bedrock for determining an aircraft's load distribution, fuel requirements, and overall performance. This process involves meticulously summing the weight of passengers, their baggage, and any additional cargo to ensure the aircraft operates within its certified limits. Understanding the airline passenger weight calculation is vital for airline operators, crew, and even passengers concerned about flight dynamics.

What is Airline Passenger Weight Calculation?

Airline passenger weight calculation refers to the systematic process of estimating and aggregating the total weight of all individuals and their associated baggage on an aircraft, along with any extra cargo. This figure is a fundamental component of the aircraft's payload, which is the total weight an aircraft can carry beyond its operating empty weight (including fuel). Airlines use these calculations for several key purposes:

  • Safety Compliance: Ensuring the aircraft's total weight does not exceed its maximum takeoff weight (MTOW) as specified by aviation authorities and the manufacturer. Overloading can severely compromise flight performance, stall characteristics, and structural integrity.
  • Fuel Planning: Heavier aircraft require more fuel to take off and maintain flight, especially over long distances. Accurate weight data allows for precise fuel loading, preventing under-fueling (a safety hazard) and over-fueling (an economic inefficiency).
  • Performance Optimization: Weight affects takeoff distance, climb rate, cruising speed, and landing speed. Knowing the precise weight allows flight crews to optimize flight profiles for efficiency and safety.
  • Cost Management: Fuel is a significant operating expense. Efficient fuel planning based on accurate weight calculations directly impacts an airline's bottom line.

Who should use it? This calculation is primarily used by airline operations departments, load controllers, dispatchers, and flight crews. However, understanding the principles can be beneficial for aviation enthusiasts, regulators, and even passengers curious about the complexities of flight planning.

Common misconceptions: A common misconception is that airlines always use a fixed, high average weight for every passenger to be safe. While safety is paramount, modern airlines often use statistical averages that are periodically reviewed and updated based on actual passenger surveys and weight distributions. Another misconception is that only passenger weight matters; baggage and cargo can often represent a substantial portion of the total payload.

Airline Passenger Weight Calculation Formula and Mathematical Explanation

The core of the airline passenger weight calculation involves summing up different weight components. The general formula is:

Total Payload Weight = (Total Adult Passenger Weight) + (Total Child Passenger Weight) + (Total Baggage Weight) + (Additional Cargo Weight)

Let's break down each component:

  • Total Adult Passenger Weight: This is calculated by multiplying the number of adult passengers by their average estimated weight.
    Formula: `Num_Adults * Avg_Adult_Weight`
  • Total Child Passenger Weight: Similarly, this is the number of child passengers multiplied by their average estimated weight.
    Formula: `Num_Children * Avg_Child_Weight`
  • Total Baggage Weight: This typically comprises two parts:
    • Cabin Baggage Weight: The weight of carry-on luggage per passenger multiplied by the total number of passengers (adults + children).
      Formula: `(Num_Adults + Num_Children) * Avg_Cabin_Baggage_Weight`
    • Checked Baggage Weight: The weight of luggage checked into the hold, often estimated per passenger.
      Formula: `(Num_Adults + Num_Children) * Avg_Checked_Baggage_Weight`
    • Total Baggage: Sum of Cabin and Checked Baggage weights.
      Formula: `Total Cabin Baggage Weight + Total Checked Baggage Weight`
  • Additional Cargo Weight: This is the weight of any freight, mail, or other non-passenger items loaded into the cargo hold.
    Formula: `Given_Cargo_Weight`

Summing these gives the Total Payload Weight. This payload weight is then added to the Aircraft Operating Empty Weight (which includes the aircraft itself, crew, and necessary operational equipment) and the fuel weight to get the Total Takeoff Weight.

Variable Explanations

Variable Meaning Unit Typical Range / Note
Num_Adults Number of adult passengers onboard. Count ≥ 0
Avg_Adult_Weight Average estimated weight of an adult passenger. kg (or lbs) Often around 75-90 kg, varies by region and airline policy.
Num_Children Number of child passengers (typically under 12 years). Count ≥ 0
Avg_Child_Weight Average estimated weight of a child passenger. kg (or lbs) Often around 30-50 kg, varies by age group.
Avg_Cabin_Baggage_Weight Average weight of carry-on baggage per passenger. kg (or lbs) Typically 5-15 kg, depends on airline rules and passenger habits.
Avg_Checked_Baggage_Weight Average weight of checked luggage per passenger. kg (or lbs) Can range from 10-30 kg or more, depending on fare class and route.
Given_Cargo_Weight Weight of all other cargo (mail, freight, etc.). kg (or lbs) Varies significantly; 0 kg if no extra cargo.

Practical Examples (Real-World Use Cases)

Example 1: A Standard Domestic Flight

Consider a domestic flight with the following conditions:

  • Number of Adult Passengers: 180
  • Average Adult Passenger Weight: 85 kg
  • Number of Child Passengers: 15
  • Average Child Passenger Weight: 40 kg
  • Average Cabin Baggage Weight per Passenger: 10 kg
  • Average Checked Baggage Weight per Passenger: 20 kg
  • Additional Cargo Weight: 500 kg

Calculation:

  • Total Adult Passenger Weight: 180 * 85 kg = 15,300 kg
  • Total Child Passenger Weight: 15 * 40 kg = 600 kg
  • Total Passengers: 180 + 15 = 195
  • Total Cabin Baggage Weight: 195 * 10 kg = 1,950 kg
  • Total Checked Baggage Weight: 195 * 20 kg = 3,900 kg
  • Total Baggage Weight: 1,950 kg + 3,900 kg = 5,850 kg
  • Total Payload Weight: 15,300 kg + 600 kg + 5,850 kg + 500 kg = 22,250 kg

Interpretation: The total payload for this flight, consisting of passengers, their baggage, and additional cargo, is 22,250 kg. This figure is crucial for determining the necessary fuel load and ensuring the aircraft's total takeoff weight remains within safe limits for the planned route.

Example 2: A Long-Haul Flight with High Cargo

Imagine a long-haul cargo-heavy flight:

  • Number of Adult Passengers: 50
  • Average Adult Passenger Weight: 90 kg
  • Number of Child Passengers: 5
  • Average Child Passenger Weight: 45 kg
  • Average Cabin Baggage Weight per Passenger: 12 kg
  • Average Checked Baggage Weight per Passenger: 25 kg
  • Additional Cargo Weight: 8,000 kg

Calculation:

  • Total Adult Passenger Weight: 50 * 90 kg = 4,500 kg
  • Total Child Passenger Weight: 5 * 45 kg = 225 kg
  • Total Passengers: 50 + 5 = 55
  • Total Cabin Baggage Weight: 55 * 12 kg = 660 kg
  • Total Checked Baggage Weight: 55 * 25 kg = 1,375 kg
  • Total Baggage Weight: 660 kg + 1,375 kg = 2,035 kg
  • Total Payload Weight: 4,500 kg + 225 kg + 2,035 kg + 8,000 kg = 14,760 kg

Interpretation: In this scenario, the significant amount of additional cargo (8,000 kg) heavily influences the total payload. The passenger-related weights (passengers + baggage) constitute less than half of the total payload. This highlights how different flight types, like cargo operations, dramatically alter weight calculations and operational considerations.

How to Use This Airline Passenger Weight Calculator

Our interactive calculator simplifies the complex process of airline passenger weight calculation. Follow these simple steps:

  1. Input Passenger Numbers: Enter the count for 'Number of Adult Passengers' and 'Number of Child Passengers'.
  2. Input Average Weights: Provide the estimated average weights for adults, children, cabin baggage, and checked baggage in kilograms. These are often based on statistical data or airline policy.
  3. Input Additional Cargo: Enter the weight of any extra cargo, mail, or freight in kilograms. If there is none, enter '0'.
  4. Calculate: Click the 'Calculate Total Weight' button.

How to read results:

  • The Primary Highlighted Result shows the 'Total Payload Weight' in kilograms. This is the most crucial figure for load planning.
  • The Intermediate Values provide a breakdown: total weight attributed to adults, children, all baggage, and the final payload.
  • The Weight Load Table offers a clear, structured view of each component's contribution to the total payload.
  • The Chart visually represents the proportion of each weight category, offering an immediate understanding of the load composition.

Decision-making guidance: The calculated Total Payload Weight must be compared against the aircraft's specific payload limits. If the calculated weight approaches or exceeds these limits, adjustments may be necessary, such as reducing the weight of additional cargo, revising fuel load calculations, or potentially even limiting the number of passengers or baggage allowed. Consulting the aircraft's performance manuals is essential for final operational decisions.

Key Factors That Affect Airline Passenger Weight Results

Several factors influence the accuracy and outcome of airline passenger weight calculations, impacting flight safety and efficiency:

  1. Seasonal Variations: Passenger weights can fluctuate seasonally. People tend to weigh slightly more in colder months due to heavier clothing and dietary changes, and less in warmer months. Airlines may adjust average weights accordingly.
  2. Geographic Location: Average passenger weights vary significantly by region and country due to differences in demographics, diet, and lifestyle. Airlines operating diverse routes often use region-specific average weights.
  3. Baggage Policies: Stricter baggage allowances (weight and size limits) can reduce the average checked and cabin baggage weight per passenger. Conversely, more lenient policies can increase it. This is a key area where airline cost management strategies are applied.
  4. Passenger Demographics: The mix of passengers (e.g., more families with young children, business travelers with lighter luggage, or tourists with heavier bags) can shift the overall average weight.
  5. Aircraft Type and Configuration: Different aircraft have varying Maximum Takeoff Weights (MTOW) and payload capacities. A small regional jet will have a much lower limit than a wide-body long-haul aircraft. The seating configuration also dictates the maximum number of passengers.
  6. Operational Procedures: Airlines employ different methods for weight estimation, from using standardized averages (like in this calculator) to actual weighing of passengers and baggage (less common for commercial flights due to time constraints). The chosen method directly impacts precision.
  7. Fuel Load Optimization: While not directly part of payload calculation, the calculated payload heavily influences the amount of fuel required. Incorrect payload estimates can lead to incorrect fuel planning, affecting fuel efficiency and flight range.
  8. Regulatory Changes: Aviation authorities periodically update regulations concerning weight and balance, which may necessitate revisions in how airlines calculate passenger and baggage weights.

Frequently Asked Questions (FAQ)

  • Q1: Do airlines actually weigh passengers?
    A: Generally, no. For scheduled commercial flights, airlines typically use standardized average weights based on statistical data and surveys, often supplemented by regional averages. Actual weighing is usually reserved for special charter flights, cargo operations, or specific research purposes.
  • Q2: How are average passenger weights determined?
    A: These averages are determined through periodic surveys conducted by regulatory bodies (like the FAA or EASA) or by the airlines themselves. These surveys collect weight data from a representative sample of passengers.
  • Q3: Why is passenger weight so important for flight safety?
    A: An aircraft's weight affects its performance characteristics, including takeoff distance, climb rate, maneuverability, and stall speed. Operating beyond the Maximum Takeoff Weight (MTOW) can lead to catastrophic failures. Proper weight distribution is also crucial for stability and control.
  • Q4: Can I bring more baggage if I weigh less?
    A: Typically, baggage allowances are separate from passenger weight considerations. While individual passenger weight is estimated, baggage weight is usually calculated based on allowances per ticket type or piece count. Some airlines might have specific policies, but it's not a common trade-off.
  • Q5: What happens if an airline underestimates the total weight?
    A: Underestimating the weight can lead to insufficient fuel being loaded for the planned route, potentially requiring an emergency landing or diversion. It can also result in the aircraft performing below expected parameters, impacting flight safety.
  • Q6: How does cargo weight affect flight planning compared to passenger weight?
    A: Cargo is often weighed precisely and added to the total payload. Depending on the flight type (e.g., passenger vs. cargo-only), cargo can constitute a significant portion, sometimes exceeding passenger and baggage weight, directly influencing fuel burn and payload limitations. Careful load distribution is key.
  • Q7: Are there different average weights for men, women, and children?
    A: Yes, modern calculations often differentiate between adult men, adult women, and children due to significant physiological weight differences. This calculator simplifies by using 'adult' and 'child' categories, but specific airline procedures might be more granular.
  • Q8: How does the airline passenger weight calculation relate to fuel consumption?
    A: The heavier the aircraft (higher total weight including payload and fuel), the more thrust is required to overcome drag and gravity, leading to increased fuel consumption. Accurate payload calculations are therefore essential for efficient and accurate fuel planning.
  • Q9: Can I use this calculator for private jets?
    A: This calculator provides a good general estimation based on common averages. For private jets or specialized aircraft, specific manufacturer data and flight planning software are usually required, as average weights and configurations can differ significantly.
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var cabinBaggageWeight = parseFloat(document.getElementById('cabinBaggageWeight').value); var checkedBaggageWeight = parseFloat(document.getElementById('checkedBaggageWeight').value); var cargoWeight = parseFloat(document.getElementById('cargoWeight').value); var isValid = true; if (isNaN(adultPassengers) || adultPassengers < 0) { document.getElementById('adultPassengersError').textContent = 'Please enter a valid number of adult passengers (0 or more).'; document.getElementById('adultPassengersError').style.display = 'block'; isValid = false; } if (isNaN(adultAvgWeight) || adultAvgWeight <= 0) { document.getElementById('adultAvgWeightError').textContent = 'Please enter a valid average adult weight (greater than 0).'; document.getElementById('adultAvgWeightError').style.display = 'block'; isValid = false; } if (isNaN(childPassengers) || childPassengers < 0) { document.getElementById('childPassengersError').textContent = 'Please enter a valid number of child passengers (0 or more).'; document.getElementById('childPassengersError').style.display = 'block'; isValid = false; } if (isNaN(childAvgWeight) || childAvgWeight <= 0) { document.getElementById('childAvgWeightError').textContent = 'Please enter a valid average child weight (greater than 0).'; document.getElementById('childAvgWeightError').style.display = 'block'; isValid = false; } if (isNaN(cabinBaggageWeight) || cabinBaggageWeight < 0) { document.getElementById('cabinBaggageWeightError').textContent = 'Please enter a valid cabin baggage weight (0 or more).'; document.getElementById('cabinBaggageWeightError').style.display = 'block'; isValid = false; } if (isNaN(checkedBaggageWeight) || checkedBaggageWeight < 0) { document.getElementById('checkedBaggageWeightError').textContent = 'Please enter a valid checked baggage weight (0 or more).'; document.getElementById('checkedBaggageWeightError').style.display = 'block'; isValid = false; } if (isNaN(cargoWeight) || cargoWeight < 0) { document.getElementById('cargoWeightError').textContent = 'Please enter a valid cargo weight (0 or more).'; document.getElementById('cargoWeightError').style.display = 'block'; isValid = false; } if (!isValid) { return; } var totalAdultWeight = adultPassengers * adultAvgWeight; var totalChildWeight = childPassengers * childAvgWeight; var totalPassengers = adultPassengers + childPassengers; var totalCabinBaggage = totalPassengers * cabinBaggageWeight; var totalCheckedBaggage = totalPassengers * checkedBaggageWeight; var totalBaggage = totalCabinBaggage + totalCheckedBaggage; var totalPayloadWeight = totalAdultWeight + totalChildWeight + totalBaggage + cargoWeight; document.getElementById('main-result').textContent = totalPayloadWeight.toFixed(2) + ' kg'; document.getElementById('adultWeightTotal').children[0].textContent = totalAdultWeight.toFixed(2) + ' kg'; document.getElementById('childWeightTotal').children[0].textContent = totalChildWeight.toFixed(2) + ' kg'; document.getElementById('totalBaggageWeight').children[0].textContent = totalBaggage.toFixed(2) + ' kg'; document.getElementById('totalPayloadWeight').children[0].textContent = totalPayloadWeight.toFixed(2) + ' kg'; // Update table document.getElementById('tableAdultWeight').textContent = totalAdultWeight.toFixed(2); document.getElementById('tableChildWeight').textContent = totalChildWeight.toFixed(2); document.getElementById('tableCabinBaggage').textContent = totalCabinBaggage.toFixed(2); document.getElementById('tableCheckedBaggage').textContent = totalCheckedBaggage.toFixed(2); document.getElementById('tableCargo').textContent = cargoWeight.toFixed(2); document.getElementById('tableTotalPayload').textContent = totalPayloadWeight.toFixed(2); // Update chart updateChart(totalAdultWeight, totalChildWeight, totalCabinBaggage, totalCheckedBaggage, cargoWeight, totalPayloadWeight); } function updateChart(adultWeight, childWeight, cabinBaggage, checkedBaggage, cargo, totalPayload) { if (chart) { chart.destroy(); } var chartData = { labels: ["Adult Passengers", "Child Passengers", "Cabin Baggage", "Checked Baggage", "Additional Cargo"], datasets: [{ label: 'Weight Distribution (kg)', data: [adultWeight, childWeight, cabinBaggage, checkedBaggage, cargo], backgroundColor: [ '#004a99', // Adult Passengers '#28a745', // Child Passengers '#ffc107', // Cabin Baggage '#6c757d', // Checked Baggage '#fd7e14' // Additional Cargo ], borderColor: '#fff', borderWidth: 1 }] }; // Basic Doughnut Chart implementation using Canvas API // This is a simplified representation; a full pie/doughnut chart requires more complex rendering logic. // For this example, we'll render a basic pie chart. var totalWeightForPercentage = totalPayload; // Use totalPayload for percentage calculation if needed, or sum of visible parts if (totalWeightForPercentage <= 0) totalWeightForPercentage = 1; // Prevent division by zero var startAngle = 0; var pieRadius = Math.min(canvas.width / 2, canvas.height / 2) * 0.8; // 80% of radius var centerX = canvas.width / 2; var centerY = canvas.height / 2; ctx.clearRect(0, 0, canvas.width, canvas.height); // Clear previous drawing chartData.datasets[0].data.forEach(function(value, index) { var sliceAngle = (value / totalWeightForPercentage) * 2 * Math.PI; ctx.beginPath(); ctx.moveTo(centerX, centerY); ctx.arc(centerX, centerY, pieRadius, startAngle, startAngle + sliceAngle); ctx.closePath(); ctx.fillStyle = chartData.datasets[0].backgroundColor[index]; ctx.fill(); startAngle += sliceAngle; }); // Add a simple label if space permits (not fully implemented for dynamic placement) ctx.fillStyle = '#fff'; ctx.font = '12px Segoe UI'; ctx.textAlign = 'center'; ctx.textBaseline = 'middle'; // Example: could add text for total weight in the middle if it were a doughnut chart } function resetCalculator() { document.getElementById('adultPassengers').value = 150; document.getElementById('adultAvgWeight').value = 80; document.getElementById('childPassengers').value = 20; document.getElementById('childAvgWeight').value = 35; document.getElementById('cabinBaggageWeight').value = 8; document.getElementById('checkedBaggageWeight').value = 15; document.getElementById('cargoWeight').value = 1000; // Reset results and errors document.getElementById('main-result').textContent = '– kg'; document.getElementById('adultWeightTotal').children[0].textContent = '– kg'; document.getElementById('childWeightTotal').children[0].textContent = '– kg'; document.getElementById('totalBaggageWeight').children[0].textContent = '– kg'; document.getElementById('totalPayloadWeight').children[0].textContent = '– kg'; document.getElementById('tableAdultWeight').textContent = '–'; document.getElementById('tableChildWeight').textContent = '–'; document.getElementById('tableCabinBaggage').textContent = '–'; document.getElementById('tableCheckedBaggage').textContent = '–'; document.getElementById('tableCargo').textContent = '–'; document.getElementById('tableTotalPayload').textContent = '–'; // Clear errors document.getElementById('adultPassengersError').style.display = 'none'; document.getElementById('adultAvgWeightError').style.display = 'none'; document.getElementById('childPassengersError').style.display = 'none'; document.getElementById('childAvgWeightError').style.display = 'none'; document.getElementById('cabinBaggageWeightError').style.display = 'none'; document.getElementById('checkedBaggageWeightError').style.display = 'none'; document.getElementById('cargoWeightError').style.display = 'none'; // Clear chart if (chart) chart.destroy(); ctx.clearRect(0, 0, canvas.width, canvas.height); } function copyResults() { var mainResult = document.getElementById('main-result').textContent; var adultWeight = document.getElementById('adultWeightTotal').textContent; var childWeight = document.getElementById('childWeightTotal').textContent; var baggageWeight = document.getElementById('totalBaggageWeight').textContent; var payloadWeight = document.getElementById('totalPayloadWeight').textContent; var assumptions = "Key Assumptions:\n" + "- Average Adult Weight: " + document.getElementById('adultAvgWeight').value + " kg\n" + "- Average Child Weight: " + document.getElementById('childAvgWeight').value + " kg\n" + "- Average Cabin Baggage: " + document.getElementById('cabinBaggageWeight').value + " kg/passenger\n" + "- Average Checked Baggage: " + document.getElementById('checkedBaggageWeight').value + " kg/passenger\n" + "- Additional Cargo: " + document.getElementById('cargoWeight').value + " kg"; var resultsText = "— Airline Passenger Weight Calculation Results —\n\n" + "Total Payload Weight: " + mainResult + "\n\n" + "Breakdown:\n" + "- " + adultWeight.replace('kg', ' (Adult Passengers)') + "\n" + "- " + childWeight.replace('kg', ' (Child Passengers)') + "\n" + "- " + baggageWeight.replace('kg', ' (Total Baggage)') + "\n" + "- Total Payload Weight: " + payloadWeight + "\n\n" + assumptions; navigator.clipboard.writeText(resultsText).then(function() { // Optional: Provide user feedback, e.g., a temporary message var btn = document.querySelector('button[onclick="copyResults()"]'); btn.textContent = 'Copied!'; setTimeout(function() { btn.textContent = 'Copy Results'; }, 2000); }).catch(function(err) { console.error('Failed to copy results: ', err); // Optional: Indicate failure to the user }); } // Initial calculation on page load document.addEventListener('DOMContentLoaded', function() { // Adjust canvas size to fit container var canvasContainer = document.querySelector('.chart-container'); canvas.width = canvasContainer.offsetWidth * 0.9; // 90% of container width canvas.height = canvasContainer.offsetWidth * 0.7; // Maintain aspect ratio, adjust multiplier as needed calculateWeight(); }); // Recalculate on window resize window.addEventListener('resize', function() { var canvasContainer = document.querySelector('.chart-container'); canvas.width = canvasContainer.offsetWidth * 0.9; canvas.height = canvasContainer.offsetWidth * 0.7; var adultPassengers = parseFloat(document.getElementById('adultPassengers').value); var adultAvgWeight = parseFloat(document.getElementById('adultAvgWeight').value); var childPassengers = parseFloat(document.getElementById('childPassengers').value); var childAvgWeight = parseFloat(document.getElementById('childAvgWeight').value); var cabinBaggageWeight = parseFloat(document.getElementById('cabinBaggageWeight').value); var checkedBaggageWeight = parseFloat(document.getElementById('checkedBaggageWeight').value); var cargoWeight = parseFloat(document.getElementById('cargoWeight').value); var totalPayloadWeight = (adultPassengers * adultAvgWeight) + (childPassengers * childAvgWeight) + ((adultPassengers + childPassengers) * cabinBaggageWeight) + ((adultPassengers + childPassengers) * checkedBaggageWeight) + cargoWeight; updateChart(adultPassengers * adultAvgWeight, childPassengers * childAvgWeight, (adultPassengers + childPassengers) * cabinBaggageWeight, (adultPassengers + childPassengers) * checkedBaggageWeight, cargoWeight, totalPayloadWeight); });

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