Payback math lies when the labor was never there
The standard automation justification divides equipment cost by labor saved. That arithmetic breaks quietly when the labor you are saving is labor you could never hire in the first place.
The conventional payback calculation is straightforward. Take the fully loaded cost of the people doing a job, work out how much of that the cell removes, divide the project cost by the annual saving, and you have a number in months. It is a reasonable model, and for a station that is genuinely staffed today it usually tells you something true.
It falls apart in the situation that brings a lot of shops to us in the first place, which is that they cannot fill the position at all. If you have been carrying an open requisition for a welder for eight months, the labor saving from automating that welding is not the welder's salary. It is zero, because you were not paying it. The line was simply not running.
The value in that case is real but it lives somewhere else entirely. It is the orders you turned down or delivered late. It is the overtime you paid the people who covered. It is the customer who moved a program because your lead time slipped. Those numbers are harder to gather than a wage rate, and they are usually much larger.
There is a related distortion in the other direction. Some proposals count the full cost of a person as saved when the reality is that the station goes from four people to one, or the person remains but handles exceptions and does something more valuable the rest of the time. Both are good outcomes. Neither is a whole salary removed from the payroll, and a payback figure that pretends otherwise will not survive contact with your finance people.
So when we build a payback sketch with a customer, we build it from their own figures and we state every assumption out loud: what hours were actually spent, at what fully loaded rate including benefits and turnover, on how many shifts, and what happens to the people. Then we say which single assumption the answer is most sensitive to, because there is almost always one, and if it moves, the whole picture moves with it.
What we will not do is hand you a firm number. Every figure we produce before an engineer has walked your floor is arithmetic, not a commitment. A certified integrator produces the fixed price quote, and that is the number your banker should see.
If you could not hire for the job, your saving is not a wage. It is the work you turned away, and that number is usually bigger and always harder to gather.
Put it to the test on your own job
Tell Joe what you are running and he will apply this to your numbers, including telling you when a robot is the wrong answer.
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