Twice as happy customers means half the marketing spend

Re:Twice as happy customers means half the marketing spend by solonagathon on Friday June 23, 2017 @06:52AM (#14618227)

How would you calculate the timeframe until steady number of subscribers is achieve d?

[ Parent | on HN ]

Re:Twice as happy customers means half the marketing spend by Sean1708 on Friday June 23, 2017 @09:25AM (#14618972)

If M is the number of months then (since you can't have a fraction of a subscriber) you will be in steady state when

Y * X^(M - 1) < 1

so once

M > 1 - (ln Y / ln X)

[ Parent | on HN ]

Re:Twice as happy customers means half the marketing spend by codefined on Friday June 23, 2017 @06:53AM (#14618231)

Wouldn't it always require an infinite amount of time?

You're summing a series of:

    0.5^n * x

From n = 1 to n = infinity

[ Parent | on HN ]

Re:Twice as happy customers means half the marketing spend by Sean1708 on Friday June 23, 2017 @09:12AM (#14618885)

Only if you can have a fraction of a subscriber, otherwise there will a finite number of months after which you will attain steady state.

[ Parent | on HN ]