Now since the rest of the calculation is going to be in terms of hours,

because capacity is expressed in kilograms per hour, we need to convert that

into hours, and that is basically 1.41 and

a bunch of 6s hours per set up.

All right, now we want to solve for the batch size.

We know that the flow rate in the process is going to be 30 kilograms per hour.

The batch size is the unknown variable that we're going to solve for and

if you'll use our equation here, the batch size divided by the set up time plus

the batch size times the processing time.

So the set up time here is 1.416666

plus the batch size times 1 over 50 per hour.

50 kilograms per hour is the capacity of the machine and

so if you ask yourself hours per kilogram,

it's a 50th of an hour per kilogram of ice cream.

You cross multiply and you're going to get 42.5

plus what is that, three-fifths over B,

30 over 50 really, right equals to B.

And then you simplify and that gets you a B of 106.25 and

that's really the length of the batch.

Now as you get, then, to part B,

you have to remember that the 106.25, that's ice cream in a batch,

generic ice cream, gelato across the three different flavors.

Now Fragola, you notice is 10 out of the 30 kilograms.

10 out of the 30 kilograms are Fragola.

And so if you basically want to figure out how much Fragola you're

going to produce in a batch, you need to just multiply with 10 over 30,

and that gives you 35.41 kg of Fragola that is produced in each production cycle.