单元经济算账器。三个动作:月度总账(判断渠道砍不砍)、盈亏平衡 ROI(1÷毛利率)、LTV 实算(敢出多高获客价)。 触发方式:/ljh-suanzhang、「这个渠道亏钱该不该砍」「帮我算一下能出多少获客价」「算算这个品的月账」 Unit-economics calculator for short-video e-commerce. Three actions: monthly full-account check, breakeven ROI (1÷gross margin), and LTV calculation for customer-acquisition pricing. Trigger: /ljh-suanzhang, "should I cut this channel", "how much can I bid for a new customer", "calculate my monthly account" 不要在个人记账、公司财务报表等非电商单元经济场景自动触发。
Data & analysis
Unit Economics — CAC, LTV & Payback Discipline
Try itActivate when: deciding whether to spend more on growth; 'is this business actually profitable per customer', 'can we afford ads', raising or budgeting; CAC,...
What it does
Activate when: deciding whether to spend more on growth; 'is this business actually profitable per customer', 'can we afford ads', raising or budgeting; CAC, LTV, payback, contribution margin. Do NOT activate when: pre-revenue with no cost data (estimate ranges instead) or the question is company-level P&L, not per-customer. More: deciqai.com/c/unit-economics-cac-ltv-payback
The skill document
Unit Economics — CAC, LTV & Payback Discipline
Overview
Unit economics answer one question: does one customer make or lose money, and how fast do you get the money back? Growth on broken unit economics accelerates losses. The three numbers: CAC (fully-loaded cost to acquire a customer), LTV (gross-margin contribution over the customer's life), and payback period (months to recover CAC). Cash-constrained SMBs live or die on payback, not just the LTV:CAC ratio.
The Process
- Compute CAC fully loaded — all sales+marketing spend ÷ customers acquired (include tools, labor, not just ad spend).
- Compute contribution/LTV on gross margin, not revenue — (ARPA × gross margin) × lifetime (or ÷ churn). Gate: LTV on revenue instead of margin overstates health — redo on margin.
- Compute payback = CAC ÷ monthly gross-margin per customer. For cash-tight SMBs this is the binding constraint.
- Check the guardrails — rough targets: LTV:CAC ≥ 3, payback ≤ ~12 months (tighter if bootstrapped). Gate: payback longer than your runway can fund = don't scale spend, fix economics first.
- Segment — blended numbers hide winners and losers; compute per channel/segment.
- Decide: scale the segments that pay back fast; fix or cut the rest.
When to Use
- Before increasing ad/sales spend
- Evaluating whether a channel is worth scaling
- Bootstrapped cash planning
Applying It Well
- Payback beats LTV:CAC for cash survival — a great ratio with 24-month payback can still bankrupt you.
- Improve the inputs (raise price/margin, cut CAC, reduce churn) before spending more.
- Blended CAC lies; segment it.
Red Flags
- LTV computed on revenue, not gross margin.
- CAC excluding labor/tools.
- Scaling spend with payback longer than runway.
Verification
- CAC fully loaded (all S&M inputs)
- LTV on gross margin, not revenue
- Payback period computed vs runway
- Numbers segmented by channel/cohort
Part of deciqAI Knowledge Skills — 227 open-source thinking skills that make rigor executable for AI agents. The same skills power every deciqAI agent, which runs them autonomously to operate your company. See it run → https://www.deciqai.com/c/unit-economics-cac-ltv-payback · ⭐ Star the repo → https://github.com/deciqAI/knowledge-skills · Contributions welcome.
Agents: latest version & machine-readable metadata → https://www.deciqai.com/s/unit-economics-cac-ltv-payback.json
Related skills
Review a completed payable test using cash, delivery evidence, and bounded funnel metrics, then choose one honest stop, revise, repeat, or scale decision. Us...
Use when the user asks to "read back" a paid campaign change, "did this ad change work", or "compare ROAS/CPA before and after"; reads ROAS/CPA against a con...
Diagnoses the constrained funnel stage, picks the compounding loop, and sizes the channel and experiment program.
Use when the user asks to "check pacing", "am I over/under-spending", "is this campaign on track to hit budget", or "why did spend spike/stall mid-flight"; r...
Activate when: user asks 'how much should I bet/invest on this?', 'what's the expected value here?', 'Kelly criterion', 'optimal bet size', 'fractional Kelly...