Case 9: Newspaper Start-Up — A Fermi Problem in Disguise
No financial model. No market data. Just a delivery window, six carriers, and the question every consultant should ask first: does this plan even work in the real world? One calculation is enough to find out.
Case 9 is the shortest and most elegant case in the series — and one of the most instructive. An entrepreneur wants to distribute a printed newspaper door-to-door across Cologne, Germany, between 4:00 AM and 6:00 AM, using six carriers, each covering one square kilometre, with no external capital available. The question is not how to optimise the plan. The question is whether the plan is physically possible.
The answer is no — and a single Fermi estimation chain reveals it in four steps. Ten thousand homes per square kilometre, divided by 7,200 seconds available, equals approximately 1.4 deliveries per second. On a bicycle. Door to door. Before dawn. No additional analysis is required after that calculation. The plan fails not because it is poorly managed but because it was designed without checking whether the physical constraints allow it to exist.
The case tests three consulting skills that are distinct from the analytical skills required in most profitability or market entry cases: the ability to simplify a real-world problem into a tractable estimation, the discipline to follow the calculation chain to a clear conclusion before proposing alternatives, and the confidence to deliver a negative verdict — 'this cannot work' — as a form of value creation rather than a failure to find a solution.
The Fermi Estimation Chain: Five Steps to the Red Flag
Fermi estimation in a consulting context is not about arriving at a precise answer. It is about determining whether the order of magnitude of a plan is viable. The chain below traces each step from the given constraints to the delivery rate conclusion — with the assumption behind each step and why it matters for the validity of the final result.
The estimation principle that makes this chain credible in the interview room: 'I am making conservative assumptions at each step — even distribution, no non-residential areas, no apartment stacking. Each of these assumptions makes the plan look more feasible than it would be in reality. If the plan fails under the most favourable assumptions, it definitely fails under realistic ones. I do not need to model real-world complexity to reach a confident conclusion.' Stating this explicitly signals that the candidate understands the direction of estimation bias — which is the mark of someone who has used Fermi estimation as a real analytical tool, not just a framework to recite.
Structural Levers: What Can Save the Plan — and What Cannot
Since the binding constraints are fixed — no additional capital, a defined delivery window, and a fixed carrier count — incremental improvements to execution cannot resolve the infeasibility. The only viable responses are structural changes to the plan's design. The table below evaluates each option against the hard constraints.
Three Consulting Lessons That Case 9 Is Designed to Teach
Case 9 is short because the analytical content is concentrated in a single insight. The three lessons it delivers are each applicable far beyond logistics and distribution — they are foundational principles of how good consultants add value.
The 5-Step Framework
The meta-lesson that Case 9 is designed to teach — applicable to every estimation and feasibility case: The fastest way to add value is often to prove that something cannot work. A consultant who delivers that conclusion clearly, quickly, and without apology — backed by a transparent calculation chain — has performed exactly the role the client needs. There is no shame in a negative verdict. The shame would be in spending three weeks building a financial model for a plan that fails a ten-minute sanity check. Fermi estimation is the tool that performs that check. Case 9 is the case that teaches you to reach for it first.
