Both ¹⁹²Ir and ¹³⁷Cs are used in cancer treatments. The half-life of ¹⁹²Ir is 74 days and that of ¹³⁷Cs is 137 days. Suppose you work for a company that produces medical isotopes. If the radiation dosage needed from either of these isotopes is the same for a given treatment, which product would require a larger sample to be produced prior to shipment to a hospital that is 2 days away from your plant? Explain your reasoning.