Day 5 — Budget Constraint

The Trade-Off

Every point you add somewhere must come from somewhere else

The Constraint

Speed + Endurance + Turning + Power = 20

Add 2 to Speed → remove 2 from somewhere else. Both sides always weigh the same.

Predict Before You See

Two Teams, Same 20 Points

Team Volt and Team Blaze each have 20 points. They made opposite choices. Team Blaze's Charge Speed is hidden — you'll predict it before it's revealed.

Team Volt

S=7 · E=5 · T=4 · P=4

Motor Power %35%

Power at t=177.5%

Arc Segments4

Turn Ratio0.28

Charge Speed16

Follow Through800

Team Blaze

S=8 · E=2 · T=2 · P=8

Motor Power %40%

Power at t=173%

Arc Segments2

Turn Ratio0.24

Charge Speed???

Follow Through1600

Make your prediction

Team Volt: P=4 → Charge Speed = 16
Team Blaze: P=8 → Charge Speed = ?
Follow Through went 260 → 400 — a 1.54× increase, not a doubling. FT = 120 + (P×35) is linear-with-intercept: the 120ms baseline means doubling P does not double FT. Charge Speed uses a different formula again.

Team Blaze Charge Speed =

Design Your Loadouts

20 points, four stats — each number you add somewhere must come from somewhere else

Rules

Each loadout must use exactly 20 points — no more, no less.
Every stat must be at least 1 point.
None of your three loadouts can match any personal stat card exactly.

Part 1 — Enter Your Stat Allocations

Stat

Loadout 1

Loadout 2

Loadout 3

⚡ Speed

⏱ Endurance

↩ Turning

🔋 Power

Total

0 / 20

All three totals must show 20 / 20 before you move on.

All Three Loadouts

Compare outputs side by side before the trade-off analysis

Formula Reference

Speed → Motor Power % = (S × 100) ÷ 20

Endurance → Power at t=1 min = 100 − (20 − E) × 1.5

Turning → Arc Segments = T · Turn Ratio = 0.2 + (T × 0.02)

Power → Charge Speed = P² · Follow Through = 120 + (P × 35)

All Three Loadouts — Side by Side

Look across each row. When Speed is the same in two loadouts but other outputs differ — what caused the difference?

Output	Loadout 1	Loadout 2	Loadout 3

The Trade-Off

If Speed = 8, what are you giving up? Show every number.

The Question

Speed = 8 uses 8 of your 20 points. That leaves 12 points for Power, Turning, and Endurance combined. For each loadout: redistribute those 12 points, then recalculate all outputs. The answer is not "we give up 12 points" — it names which stat takes the reduction and what happens to that output.