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21) A correctional facility firm has hired a total of 117 new prison guards to send to its four correctional facilities. The (2pts) number of inmates at each of the facilities is listed in the table below together with its apportionment according to the Hamilton method. If the firm decides at the last minute to hire one more guard, determine whether the Alabama paradox will occur in the reapportionment of the guards. If it does, which facility loses a guard in the reapportionment? Prison Facili Number of Inmates 25 258 190 303 of 117 39 28 45 a. The paradox will occur and County A will lose a guard. b. The paradox will occur and County B will lose a guard. c. The paradox will occur and County C will lose a guard. d. The paradox will occur and County D will lose a guard. e-The paradox will not occur 22) (2pts) A university system has a total of 40 new computers to distribute to each of its three campuses. After preregistration, the enrollment at each of the campuses was the value shown in second column of the table below together with the apportionment of the computers in the third column according to the Hamilton method. Final enrollment at each of the campuses is shown in the fourth column of the table with the percent increase in enrollment over the preregistration values in the fifth column. Determine whether a population paradox will occur in the reapportionment of the computers according to final enrollments. If it does, which campus loses a computer in the reapportionment? PreregistrationBased on Preregistration Enrollment Apportionment of 40 Compute % increase in Final Enrollment Over Final Campus Enrollment Enrollment 4 10 26 istration Enrollment 354 1,051 2,590 366 1,078 2,610 3.39% 2.57% 0.77% aThe paradox will occur and Campus A will lose a computer b-The paradox will occur and Campus B will lose a computer c. The paradox will occur and Campus C will lose a computer d. The paradox will occur and Campus A and Campus C will each lose a computer e. The paradox will not occur 23) (2pts) The table that follows shows the enrollment at two campuses of a university and the number of computer stations for each campus. The number of computer stations was apportioned according to the Hamilton method. A new computer station is to be set up at one of the campuses. Find the relative unfairness of apportionment for each campus, and use the apportionment principle to determine which campus should receive the new computer station. Round your answer to four decimal places. Campus Enrollment t of 41 Computer Stations 1,000 905 19 a. relative unfaimess of apportionment is 0.0408 if Campus A receives the computer station relative unfaimess of apportionment is 0.0392 if Campus B receives the computer station Campus B should receive the new computer station. b. relative unfaimess of apportionment is 0.0408 if Campus A receives the computer station relative unfairness of apportionment is 0.0392 if Campus B receives the computer station Campus A should receive the new computer station. c. relative unfaimess of apportionment is 0.0392 if Campus A receives the computer station relative unfaimess of apportionment is 0.0408 if Campus B receives the computer station Campus A should receive the new computer station. d. relative unfaimess of apportionment is 0.0392 if Campus A receives the computer station relative unfairness of apportionment is 0.0408 if Campus B receives the computer station Campus B should receive the new computer station. A city library system comprised of 4 different libraries dispersed throughout the city allots a certain number of computers for each library to use to keep track of its books and to check books in and out of the library. Given the current computer setup below, use the Huntington-Hill Apportionment Principle to determine which library should receive a new computer recently purchased by the city for library use. 24) (2pts) City Libraries Current Number of Computers Current Number of Books Library A Li Lib Library D 19 15 18 21 251,000 120,000 210,000 488,000 a. LibraryA b. LibraryB c. Library d. LibraryD