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Research replication

Growth that survives its own economics

Open the exact fictional inputs behind each worked study. Project cases use their companion model; auxiliary cash bridges retain a separate, verifiable calculation.

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These are illustrative scenarios, not actual project or supplier data. Inputs and method boundaries govern each result.

Illustrative study

A contribution-positive customer, an unfunded growth path

Establish the exact cohort, contribution and working-capital timing reference.

What changes

  • Case: Authored exogenous intervention
  • Changes: Reference supplied input slate
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Faster supplied collection

Change only the receivable-days assumption; no automatic debt recovery or price response is estimated.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"receivableDays": 7}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Higher supplied starting price

Change only starting price, retaining acquisition and retention; this is an exogenous comparison, not a demand forecast.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"price": 105}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Higher supplied acquisition budget

Change only acquisition spend at unchanged CAC; no funnel conversion or capacity response is inferred.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"acquisitionBudget": 30000}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Discount and acquisition package

Supply a lower price and greater acquisition budget jointly; their causal connection is not estimated.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"price": 72, "acquisitionBudget": 30000}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Higher operating-cost envelope

Represent an externally specified additional operating envelope; the engine contains no capacity constraint or step trigger.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"fixedCosts": 33000}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Lower supplied monthly churn

Change only churn; no intervention efficacy, expense or customer-selection change is estimated.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"churn": 2}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Longer supplied payable terms

Expose a modelled cash benefit whose actual contractual eligibility must remain a separate gate.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"payableDays": 90}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

A separately supplied opening-cash envelope

Change only opening cash; this does not constitute a financing offer or permission to spend.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"startingCash": 350000}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Starting service cost exceeds price

Expose negative starting contribution and the unavailable starting-price break-even denominator.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"variableCost": 100}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

No acquisitions in the business path

Separate hypothetical one-customer value from the business path when no new customers are acquired.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"acquisitionBudget": 0}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Complete churn after each first service month

Expose the timing boundary: each cohort has a first service month and no surviving customers thereafter.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"churn": 100, "expansion": 0}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

A shorter appraisal window

Change only horizon; omitted later contributions and unreleased working capital must not be called terminal value.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"months": 12}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

Illustrative study

Supplied contraction in retained-customer price

Change only retained-customer price expansion to contraction; logo survival is still distinct from revenue retention.

What changes

  • Case: Authored exogenous intervention
  • Changes: {"expansion": -1}
  • Held constant: Every field not listed in changes; all cases retain constant supplied assumptions within their own horizon.
  • Probability: No empirical frequency, causal effect estimate or confidence is assigned.

Limits of the study

  • All inputs and outputs are explicitly illustrative, not measured customers or financial performance.
  • Homogeneous expected cohorts, immediate first-month service, constant monthly acquisition, no tax, capex, financing, seasonality or terminal release.
  • Customer service capacity, consent, supplier terms and committed funding are outside compute and require separately completed evidence records.
Open this case in the model

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