Suppose that there are 1 million federal workers at the lowest level of the federal bureaucracy and that above them there are multiple layers of supervisors and supervisors-of-supervisors. Assume that each higher level is one-tenth the size of the one below it because the government is using a 10:1 ratio of supervisees to supervisors. That is, for every 10 workers at the bottom, there is 1 supervisor; for every 10 of those supervisors, there is 1 supervisor-of-supervisors; for every one of those supervisors-of-supervisors, there is a supervisor-of-supervisors-of-supervisors; and so on, all the way up the bureaucratic pyramid to the president. Instructions: Enter your answers as whole numbers. a.How many supervisors will there be in each supervisory layer of the federal bureaucracy?

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Answer:

The numbers are

(i)1,000,000

(ii)100,000

(iii)10,000

(iv)1,000

v)100

(vi)10

(vii)1

Step-by-step explanation:

There are 1 million federal workers at the lowest level and each higher level is one-tenth the size of the one below it.

Number of Federal Workers =1,000,000

Number of Supervisors=[tex]\frac{1}{10}X1000000 =100000[/tex]

Number of supervisor-of-supervisors =[tex]\frac{1}{10}X100000 =10000[/tex]

Number of supervisor-of-supervisors-of-supervisors =[tex]\frac{1}{10}X10000 =1000[/tex]

Number of supervisor-of-supervisors-of-supervisors-of-supervisors =[tex]\frac{1}{10}X1000 =100[/tex]

Number of supervisor-of-supervisors-of-supervisors-of-supervisors-of-supervisors =[tex]\frac{1}{10}X100=10[/tex]

Number of President =[tex]\frac{1}{10}X10 =1[/tex]