A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital. Hospital Number of beds Sharp 242 Palomar 356 Tri-City 308 Del Raye 190 Rancho Verde 275 Bel Aire 410 Total 1781 (a) Determine the standard divisor. (Round your answer to two decimal places.)What is the meaning of the standard divisor in the context of this exercise? There is one new nurse for every beds. (b) Use the Hamilton method to determine the number of nurses to be apportioned to each hospital. Hospital Hamilton Sharp   Palomar   Tri-City   Del Raye   Rancho Verde   Bel Aire   (c) Use the Jefferson method to determine the number of nurses to be apportioned to each hospital. Hospital Jefferson Sharp   Palomar   Tri-City   Del Raye   Rancho Verde   Bel Aire   (d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method? Using the Jefferson method, Del Raye gets one less nurse and Sharp gets one more nurse than from the Hamilton method.Using the Jefferson method, Del Raye gets one less nurse and Bel Aire gets one more nurse than from the Hamilton method.     Using the Hamilton method, Palomar gets one less nurse and Tri-City gets one more nurse than from the Jefferson method.Using the Hamilton method, Sharp gets one less nurse and Palomar gets one more nurse than from the Jefferson method.They are identical.

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Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
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A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital.

Hospital Number of beds
Sharp 242
Palomar 356
Tri-City 308
Del Raye 190
Rancho Verde 275
Bel Aire 410
Total 1781
(a) Determine the standard divisor. (Round your answer to two decimal places.)


What is the meaning of the standard divisor in the context of this exercise?
There is one new nurse for every beds.

(b) Use the Hamilton method to determine the number of nurses to be apportioned to each hospital.
Hospital Hamilton
Sharp  
Palomar  
Tri-City  
Del Raye  
Rancho Verde  
Bel Aire  

(c) Use the Jefferson method to determine the number of nurses to be apportioned to each hospital.
Hospital Jefferson
Sharp  
Palomar  
Tri-City  
Del Raye  
Rancho Verde  
Bel Aire  
(d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?
Using the Jefferson method, Del Raye gets one less nurse and Sharp gets one more nurse than from the Hamilton method.Using the Jefferson method, Del Raye gets one less nurse and Bel Aire gets one more nurse than from the Hamilton method.     Using the Hamilton method, Palomar gets one less nurse and Tri-City gets one more nurse than from the Jefferson method.Using the Hamilton method, Sharp gets one less nurse and Palomar gets one more nurse than from the Jefferson method.They are identical.

 

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