Four Friends and Who is Paying the Most Custom Case Solution & Analysis

1. Evidence Brief (Case Researcher)

Financial Metrics:

• Total group expenditure: $1,200 (Exhibit 1).
• Individual contributions: Person A ($400), Person B ($300), Person C ($300), Person D ($200) (Exhibit 2).
• Average per-capita cost: $300 (Paragraph 4).

Operational Facts:

• Four individuals engaged in a shared activity over a weekend (Paragraph 1).
• Expenses were paid ad-hoc by different individuals at point of sale (Paragraph 2).
• No centralized ledger was maintained during the event (Paragraph 3).

Stakeholder Positions:

• Person A: Believes they overpaid by $100 compared to the mean.
• Person D: Maintains they paid their fair share based on personal budget constraints.

Information Gaps:

• Lack of itemized receipts for individual versus group consumption.
• Missing agreement on cost-sharing methodology (pro-rata vs. equal split).

2. Strategic Analysis (Strategic Analyst)

Core Strategic Question: How should the group reconcile the $400 variance between individual contributions to ensure long-term interpersonal equity?

Structural Analysis: Using a Stakeholder Equity framework, the current tension stems from a misalignment between expected contribution and actual disbursement.

Strategic Options:

• Option 1: Equalization (The Simple Split). Re-distribute funds so each pays $300. Trade-off: High fairness, potential friction if participants disagree on individual consumption.
• Option 2: Status Quo (Absorption). No re-payment. Trade-off: Low administrative burden, high risk of resentment and future social withdrawal.
• Option 3: Pro-rata Consumption. Adjust based on specific items consumed. Trade-off: Precision, but requires reconstructive accounting which is time-intensive.

Preliminary Recommendation: Option 1. Equalizing to the $300 mean removes the debt and balances the social ledger.

3. Implementation Roadmap (Implementation Specialist)

Critical Path:

1. Audit: Compile all transaction receipts (Day 1).
2. Reconciliation: Calculate the delta for each participant against the $300 mean (Day 1).
3. Settlement: Execute digital transfers to clear balances (Day 2).

Key Constraints:

• Documentation: Missing receipts for cash-based transactions.
• Psychological: Managing the perception of fairness among participants.

Risk-Adjusted Strategy: If receipts are unavailable, apply a flat $300 split across all participants, ignoring individual consumption variances to prevent social fallout.

4. Executive Review and BLUF (Executive Critic)

BLUF: The group must immediately adopt an equal-split model of $300 per person. The current $400 variance is a trivial sum that, if left unaddressed, will damage the social capital of the group. Do not attempt a granular item-by-item audit; the time cost of reconstructing consumption exceeds the $100 variance. Execute the transfer within 24 hours to finalize the matter.

Dangerous Assumption: The analysis assumes that all participants value the social relationship more than the $100 delta. If Person D is experiencing genuine liquidity constraints, the equal split will cause further friction.

Unaddressed Risks:

• Social fallout: A demand for payment may be perceived as transactional rather than equitable.
• Data integrity: Reliance on memory for undocumented expenses leads to further disputes.

Unconsidered Alternative: The group could designate the $100 overage as a future fund for the next activity, thereby converting a debt into a pre-payment.

Verdict: APPROVED FOR LEADERSHIP REVIEW