What-If and Scope

Honest Weighted-Center Scope

The weighted center is useful only inside its simplified coordinate assumptions.

highlighted = computed this step

Base center

The base center is (1, 2).

base=(1,2)\text{base}=(1,2)
Base and what-ifThe two centers are exact consequences of their weights.center comparisoncenter xcenter ybase12lower C3/21

What-if center

The lower-C center is (3/2, 1).

what-if=(3/2,1)\text{what-if}=(3/2,1)
Base and what-ifThe two centers are exact consequences of their weights.center comparisoncenter xcenter ybase12lower C3/21

Not modeled

The calculation does not include road networks, travel-time metrics, capacity, fixed opening costs, geography constraints, integer site choices, or demand uncertainty.

coordinate balance point only\text{coordinate balance point only}
Base and what-ifThe two centers are exact consequences of their weights.center comparisoncenter xcenter ybase12lower C3/21

Honesty note

The weighted center is a balance point for this simplified coordinate model. It does not model road networks, travel-time metrics, capacity, fixed opening costs, geography constraints, integer site choices, or demand uncertainty. Pixel positions are rounded for layout; every displayed coordinate, weight, numerator, and center is exact.

exact arithmetic inside a simplified coordinate model\text{exact arithmetic inside a simplified coordinate model}
Base and what-ifThe two centers are exact consequences of their weights.center comparisoncenter xcenter ybase12lower C3/21