(a) In making the deposits provided by § 41.202, the comptroller shall apportion the amount appropriated for that purpose among the eligible counties on the basis of the population of each county as provided by this section.
(b) The annual apportionment for a county may not exceed:
(1) 10 cents per capita for a county with a population of less than 8,500;
(2) 7-1/2 cents per capita for a county with a population of 8,500 or more and not more than 19,000;
(3) 5 cents per capita for a county with a population of more than 19,000 and not more than 75,000;
(4) 4 cents per capita for a county with a population of more than 75,000; and
(5) 4 cents per capita for Harris County.