Final answer:
To calculate the number of units to start for a desired amount of non-defective products, divide the desired quantity by the process yield and round up to the nearest integer.
Step-by-step explanation:
To find the number of units that need to be started through a manufacturing process with a known yield to obtain a specific number of non-defective units, we can use the given process yield. The process yield is the fraction of non-defective units produced by the process, which is 0.89 in this case. To achieve 2257 non-defective units, we divide the desired number of non-defective units, 2257, by the process yield 0.89.
The calculation will look like this:
Total units required = Desired non-defective units / Process yield
Total units required = 2257 / 0.89
When you perform this calculation, you will get a result that is not an integer. Since you cannot start a fraction of a unit in an actual manufacturing process, you will need to round up the resulting number to the nearest whole unit, ensuring you start enough units to end up with at least 2257 non-defective ones.