(a) Insulin production is 100 mg/L;
so fermentor volume needed for 1 Kg of insulin is 1 Kg / 100mg = 1000, 000mg/100,g = 10,000mg = 10,000L.
So we need 10,000-litre fermentor to produce 1 Kilogram of insulin in one batch.
(b) In this case the cell concentration is increased to 50 g/L;
so insulin production per liter will be 50 X 100 = 5000 mg = 5 g / L;
Thus, to produce 1 Kilogram of insulin we need 1 Kilogram / 5 g = 1000 g / 5g = 200 g.
So, if the cell concentration is increased 50 times, we need 200-litre reactor to produce 1 Kilogram of insulin.