Hill Function Explorer
Explore how the Hill coefficient (n) transforms marketing response curves from concave (C-curves) to convex-concave (S-curves). Understand when channels exhibit immediate diminishing returns versus threshold effects.
Parameters
1.50
ConcaveLinearS-curve
$50,000
$50,000
Channel Presets
Curve Type
Convex-Concave (S-curve)
Response at Budget
50.0%
Marginal ROI
0.0000
Efficiency Zone
Optimal
Response Curve
Key Insights
• S-curve (n = 1.50 > 1): This channel requires threshold investment before becoming efficient.
• The inflection point at $17,100 marks where returns accelerate.
• Common for awareness channels like TV or display that need frequency to be effective.
• Avoid spending below the threshold as returns will be minimal.