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finding the profitability threshold

Hello,

I try to figure out how to calculate the number of subscription weeks to get the advertising investments profitable.

Materials I got is :

  • gross costs (I'm able to drill down to daily basis for each support / campaign)
  • subscription's fare is Z each week
  • records of unsubscriptions over time for each subscription day of last year (see picture attached)
  • those show a quite steady trend over time

My think is that :

  • I need to determine the right formula for unsubcription rate ; something like "ax² + bx + c = 0 " where x is the number of week
  • then for each week solve "ax² + bx + c = week gross cost "

Do you think my method is correct ? and can anyone help me make it works ?

Thanks a lot

Cheers

Julien

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