{"id":"fpa-unit-economics-channel-table","audience":"fpa","category":"finance-work","track":"finance","level":"intermediate","technique":"format","title":"Build a CAC, LTV and payback table by channel","free":false,"task":"Marketing wants unit economics by acquisition channel for Q3. Make one table with exactly these columns in order: Channel | CAC | LTV | Payback (months). Use the corrected Events spend. Under the table, add one line starting \"Formulas:\" that states how each column was calculated. No bold anywhere, under 80 words.","materialLabel":"Source material (attached to your prompt automatically)","material":"Q3 ACQUISITION - NEW CUSTOMERS BY CHANNEL\n\nChannel | Q3 spend | New customers\nPaid search | $57,600 | 120\nPartners | $36,000 | 90\nEvents | $50,000 | 50\n\nCustomer economics (same for all channels, from the Q3 cohort report):\n- Average revenue per account (ARPA): $100 per month\n- Gross margin: 80%\n- Monthly churn: 2%\n\nThread, Oct 14:\nMarketing ops: Correction - the venue refunded $10,000 for the cancelled second day of Summit West. Events spend should be $40,000.\nAnalyst: noted, will update the dashboard Friday.\n\nAlso: brand campaign ($80,000) ran in Q3 but is not tied to any channel and is excluded from CAC by policy.","rules":[{"type":"plainText"},{"type":"maxWords","max":80}],"mistakes":[{"title":"Using the first Events number","why":"The AI uses the table figure and misses the refund correction further down.","fix":"Add: \"Use the corrected Events spend of $40,000.\"","checks":["r0"]},{"title":"Not fixing the formulas","why":"The AI picks its own LTV formula, sometimes leaving out margin.","fix":"Spell it out: \"LTV = ARPA × gross margin ÷ monthly churn.\"","checks":["r1"]},{"title":"Letting it design the table","why":"The AI adds columns like LTV:CAC and spend, and writes paragraphs around it.","fix":"Say: \"Columns exactly: Channel | CAC | LTV | Payback (months). Then one 'Formulas:' line.\"","checks":["r2"]},{"title":"Forgetting where it goes","why":"AI adds bold and headings, which show up as ** and # clutter in email and chat.","fix":"Add: \"Plain text only, no bold, no headings.\"","checks":["plainText"]},{"title":"Trusting the AI to count words","why":"AI is bad at counting and usually runs long on finance write-ups.","fix":"Cap each part instead: \"each line under 15 words\" so the total stays well under 80.","checks":["maxWords"]}],"promptHints":[{"label":"Names the exact columns","patterns":["channel\\s*\\|","columns?","payback \\(months\\)"]},{"label":"Uses the correction","patterns":["correct","refund","40,?000"]},{"label":"Gives the formulas","patterns":["formula","arpa\\s*[x×*]","churn"]},{"label":"Bans bold","patterns":["no bold","plain","no markdown"]},{"label":"Sets a length limit","patterns":["\\d+\\s*words","word (limit|count)","under \\d+"]}],"hint":"Spell out the table you want, the formulas to use, and which spend figure is final.","rubricLabels":["Events uses the corrected $40,000 spend: CAC $800 and payback 10 months","Paid search shows CAC $480 and payback 6 months, Partners shows CAC $400 and payback 5 months, and LTV is $4,000 for every channel","The table has exactly the columns Channel | CAC | LTV | Payback (months) in that order, followed by one line starting \"Formulas:\" (CAC = spend ÷ new customers; LTV = ARPA × margin ÷ churn; payback = CAC ÷ monthly gross profit)"]}