While many different apportionment methods have been devised and advocated, only four (H...

While many different apportionment methods have been devised and advocated, only four (Hamilton, Jefferson, Webster, and Huntington–Hill) have been implemented with the U.S. House of Representatives. One method was advocated in 1832 by John Quincy Adams, the sixth president of the United States, and bears his name. In Adams’ method, also known as the method of smallest divisors, a modified divisor is chosen so that all modified quotas can be rounded upward and have a sum that equals the number of seats to be apportioned; this is in contrast to Jefferson’s method, in which all modified quotas are rounded downward.

Use Adams’ method to apportion the 20 bottles of wine from problem 11.

Problem 11:

Three friends have pooled their resources to bid on 20 bottles of vintage red wine at a wine auction. They decide to divide the bottles based on the amount each person contributed, using Jefferson’s method of apportionment. Jaron contributed $295, Mikkel contributed $205, and Robert contributed 390

a. Fill in the following table, and add rows as needed. Show how you arrived at each modified divisor used.

b. How should the bottles be apportioned among the friends?