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A nutrition plan app has a subscription that costs $10/month. The following chart gives average historical renewal rates for subscribers based on how many months

A nutrition plan app has a subscription that costs $10/month. The following chart gives average historical renewal rates for subscribers based on how many months they have been a subscriber.

Month

1st

2nd

3rd

4th and above

Renewal rate

70%

80%

85%

90%

  1. Create a graph showing the time it takes to recoup advertising expenditure (PP - Payback Period) relative to the cost of acquiring a single subscriber (CAC - Customer Acquisition Cost).
    1. What assumptions did you make?

  1. We ran an experiment in which we gave half of new users (chosen at random) the option to subscribe for a year instead of a month at a cost of $80. Make predictions for the results of the experiment using the following chart:

Metric

Control (Only $10/month)

Test (Option between $10/month and $80/year)

Users in bucket

100,000

100,000

Monthly plan subscribers

14,000

Yearly plan subscribers

0

Revenue per user after 13 months

Refund rate (% users asking for refunds)

Try to make reasonable assumptions in coming up with answers and list the assumptions together with your answer.

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