The Business Math Nobody Does in Their Head

Here is a comparison I get to live every day.

I run a software company that sells a managed payroll platform to Kenyan SMEs. Pricing is simple: KES 350 per employee per month, with a KES 5,000 minimum. A client with 40 employees pays about KES 14,000 a month. That is the ceiling for that client. It does not matter how much they love the product, how good the support is, or how long they stay. Forty employees will never become four hundred just because the software is excellent. To grow that business, I must find more companies.

I am also a director in an energy business that sells fuel. One logistics company running a fleet can consume more fuel in a month than fifty small offices combined. To grow that business, I do not necessarily need more customers. I need more litres, and a single serious customer can supply almost all of that growth by themselves.

Same country. Same economy. Same effort. Completely different mathematics.

Most business owners never sit down and work out which of these two games they are playing. They copy marketing tactics, pricing models, and growth advice from businesses that run on entirely different math. This post is about the two variables that quietly decide how your revenue behaves: the multiplier and mobility.

#Part One: What Actually Multiplies Your Revenue?

Every business has a revenue equation, and it almost always reduces to one of two shapes.

#Shape 1: Revenue grows by adding customers (horizontal growth)

Software, SaaS, insurance, subscriptions, media. Each customer has a natural ceiling on what they can pay you. A payroll platform is worth roughly the same to a client whether the economy booms or slows, because the price is anchored to their headcount, not their appetite.

The consequence is brutal and simple: these businesses are forced to sell wide. The product might be infinitely scalable, but each buyer is finitely valuable. If you are building SaaS in Kenya and your total addressable market is 800 companies, your ceiling is 800 times your average subscription, full stop. This is why software companies obsess over customer acquisition, distribution, and market size. They have no choice. The math gives them no other lever.

#Shape 2: Revenue grows by adding volume (vertical growth)

Fuel, water, cement, flour, airtime, cooking gas, electricity. Here the number of customers matters far less than the consumption per customer. A petrol station with 100 boda riders buying KES 200 each earns KES 20,000. One matatu SACCO fueling its fleet can pass that before lunch.

In volume businesses, the smartest question is not "how do I get more people through the door" but "who consumes the most, and how do I become their supplier?" One anchor client can transform the entire business. This is why fuel dealers chase fleet contracts, why cement companies court contractors rather than individual home builders, and why a water bottling plant would rather supply one hotel chain than a hundred kiosks.

#Why confusing the two is expensive

When a volume business behaves like a customer-count business, it wastes money on mass marketing to low-consumption buyers. When a customer-count business behaves like a volume business, it over-invests in a handful of accounts that mathematically cannot grow, and starves the wide distribution engine it actually needs.

Do this math on paper, not in your head: take your top five customers and write down the absolute maximum each could ever pay you per month if everything went perfectly. If those numbers have hard ceilings, you are in a horizontal game and your growth budget belongs in reach. If those numbers are effectively unlimited, you are in a vertical game and your growth budget belongs in relationships with heavy consumers.

#Part Two: Mobility, the Variable That Sets Your Reach

The multiplier tells you what each customer is worth. Mobility tells you how many customers you can even touch. Every service sits somewhere on a spectrum between two poles.

#Services that stay put: people come to the value

A restaurant, a hospital theatre, a barbershop, a gym, a hotel in Nakuru. The service is anchored to a location, so the market is whoever can physically reach it. A restaurant's true market is not "people who eat out" but "people who eat out within a reasonable radius of this building." That radius is the business.

This is not a weakness; it is a constraint to design around. Fixed-location businesses win on density and pull: location choice, ambience, reputation strong enough to make people travel. But the ceiling is geographic, and no amount of marketing changes the size of the circle on the map.

#Services that move: the value comes to people

Catering flips the restaurant model. The kitchen travels, so the market becomes the whole city, or the whole county. Home nursing flips the clinic. Mobile car washes, outside catering, on-site equipment servicing, delivery-first kitchens: each one takes a fixed-location business and unlocks a radius it could never have earned by waiting.

Then there are businesses where mobility is itself the product. A matatu, a boda, a logistics company clearing cargo from Mombasa to Nairobi. Customers are not paying for a place; they are paying for movement.

#The extreme end: software

Software is what happens when mobility goes to infinity and the cost of moving goes to zero. A platform built in Lavington serves a hotel in Nakuru, a security firm in Industrial Area, and a restaurant in Karen simultaneously, with no vehicle, no fuel, and no travel time. Perfect mobility. Zero marginal delivery cost.

And here is where the two ideas connect, and why this post is one argument rather than two: software's infinite mobility is exactly why it is forced into the horizontal game. Because delivering to one more customer costs almost nothing, the price per customer stays low and capped, so the only way to build serious revenue is to multiply across many buyers. The fuel truck is the opposite: expensive to move, so it earns its keep by moving enormous value to few destinations. Mobility and the multiplier are two sides of the same equation. How easily your value travels determines how it must be priced, and how it is priced determines what you must multiply.

#A Quick Tour Through Familiar Examples

Run any business through both lenses and its true nature shows itself fast.

A restaurant is fixed location, horizontal-ish (more covers, capped spend per diner). Add outside catering and the same kitchen becomes mobile and semi-vertical, because one corporate client booking monthly events is worth more than a street of walk-ins. A private tutor is a mobile service capped by their own hours; a recorded course is the software version of the same knowledge, infinitely mobile and forced to sell wide. An M-Pesa agent is fixed location, pure volume: what matters is float turnover, not the number of faces. A hospital is fixed and people travel to it; home-based care inverts it and charges a premium precisely for the mobility. A fuel depot is fixed, but its revenue is carried outward by trucks, so it behaves like a mobile volume business with a stationary heart.

None of these businesses is better than the others. But each one rewards a completely different strategy, and punishes the wrong one.

#The Question to Take Away

Before your next marketing spend, your next hire, or your next pricing decision, answer this on paper:

Is my growth lever more customers, or more volume per customer? And does my value travel to the market, or must the market travel to me?

Your answer dictates almost everything downstream. If you are horizontal and mobile, invest in distribution and reach, because your ceiling is the number of buyers you can touch. If you are vertical and fixed, invest in anchor relationships and capacity, because one right customer outweighs a thousand wrong ones. If you are fixed and horizontal, your radius is your market, so dominate the radius before dreaming beyond it.

The businesses that struggle are rarely the ones with bad products. They are the ones pulling a lever that their own mathematics does not connect to anything.

Do the math. On paper. It is almost never what your instincts assumed.

Steve Nyanumba is the Founder and CEO of Vapor Technologies, a Nairobi software company building payroll, tax, and business platforms for Kenyan SMEs, and holds directorships across hospitality, energy, and logistics businesses.