To determine the maximum number of pax (people) safely allowed in a specific event space:
Formula:
\(\text{Max Pax Capacity} = \frac{\text{Total Usable Floor Area}}{\text{Square Footage per Person Requirement}}\)
Standard space guidelines:
Standing crowd: ~0.5 to 0.7 sq meters (5–7 sq feet) per pax
Seated (chairs only): ~0.9 to 1.1 sq meters (10–12 sq feet) per pax
Seated (tables and chairs): ~1.4 to 1.9 sq meters (15–20 sq feet) per pax
Budget Cost Per Pax FormulaTo find how much an event costs per attendee:
Formula: \(\text{Cost per Pax} = \frac{\text{Total Event Fixed Costs}}{\text{Total Headcount (Pax)}} + \text{Variable Cost per Person}\)
Population
( Growth )
To calculate future population size using growth over time, use the exponential growth formula: \(P = P_0 \times (1 + r)^t\), where P₀ is the initial population, r is the growth rate as a decimal, and t is the number of time periods.
Basic Population Change (Demographic Balancing Equation)To find population change using vital statistics, track births, deaths, and migration:Formula: P₁ = P₀ + (B - D) + (I - E)P₁: Future or current populationP₀: Initial populationB: BirthsD: DeathsI: Immigrants (people entering)E: Emigrants (people leaving)
Exponential Population Growth Formula
To calculate growth over multiple years with a steady percentage rate:Formula: \(P = P_0 \times e^{rt}\) (continuous) or \(P = P_0 \times (1 + r)^t\) (annual compound)P: Final populationP₀: Starting populationr: Growth rate (percentage divided by 100)t: Time (number of years)e: Base of natural logarithms (~2.718) for continuous growth
Population Density Formula
To find how crowded an area is by dividing total people by space:Formula: \(\text{Density} = \frac{\text{Number of People}}{\text{Land Area}}\) (e.g., people per square kilometer)
Headcount
In business and event planning, headcount (total number of individual employees or attendees) and pax (short for "passengers" or "persons") are calculated by summing up individuals or using specialized capacity metrics.
Workplace Full-Time Equivalent (FTE) Formula
To convert a raw headcount of part-time and full-time workers into a standard capacity metric:
Formula: \(\text{FTE} = \frac{\text{Total Hours Worked by All Employees}}{\text{Standard Full-Time Hours}}\)Example: Two part-time employees working 20 hours each equal 1 FTE (40 hours total / 40 standard hours).
