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2026 Summer · Tasks

Unit Economics Tasks

Solve the tasks in free form. You may write formulas, intermediate calculations, and short explanations.

Slide 35Task 1Calculating CAC

Find the CAC

You are promoting a mobile app: an AI calorie tracker. To acquire users, you use Apple Search Ads.

Your task is to calculate the cost of acquiring one paying customer (CAC) based on the advertising funnel data.

Click-to-install conversion: 20%; cost per click (CPC): $0.50; install-to-registration conversion: 50%; registration-to-subscription conversion: 10%.

Slide 39Task 2Calculating LTV

Find the LTV

The app earns revenue from subscriptions and uses AI to process user requests, which creates additional costs.

Average subscription check: $10 per month. Retention rate: month 1: 100%; month 2: 60% of users continue their subscription; month 3: 40% of users continue their subscription.

After month 3, users stop renewing their subscription. The cost of one token for processing AI requests is $0.01. The average number of tokens a user spends per month is 200 tokens.

Over to youTask 3Break-even

John Peel's rolls per month

How many rolls a month must John Peel sell to earn £100?

Hint: cover the fixed £1,750, then the £100 profit, at £7 a roll.

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