A correctional facility firm has hired a total of 116 new prison guards to send to its four correctional facilities. The 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 Facility Number of Inmates Apportionment of 116 guards A 23 4 B 256 39 C 180 27 D 306 46 ​   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.

Advanced Engineering Mathematics
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ISBN:9780470458365
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A correctional facility firm has hired a total of 116 new prison guards to send to its four correctional facilities. The 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 Facility Number of Inmates Apportionment of 116 guards
A 23 4
B 256 39
C 180 27
D 306 46

  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.
 
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