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Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Updated on: 25 Apr 2024, 05:01
Originally posted by einstein801 on 05 Apr 2024, 10:30.
Last edited by chetan2u on 25 Apr 2024, 05:01, edited 6 times in total.
Last edited by chetan2u on 25 Apr 2024, 05:01, edited 6 times in total.
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The question is posted here
A certain company has the following policy regarding membership in committees A, B, C: each of the committees have exactly 40 members, and each employee must be a member of at least one of the committees. The company currently has 110 employees.
Let X be the current number of employees who are members of more than one of the committees. Based on the current total number of employees, select the least value of X that is compatible with the policy and select the greatest value of X that is compatible with the policy. Make only 2 selections one in each column.
Least value of X
3, 5, 6, 8, 10, 12
Greatest value of X
3, 5, 6, 8, 10, 12
A certain company has the following policy regarding membership in committees A, B, C: each of the committees have exactly 40 members, and each employee must be a member of at least one of the committees. The company currently has 110 employees.
Let X be the current number of employees who are members of more than one of the committees. Based on the current total number of employees, select the least value of X that is compatible with the policy and select the greatest value of X that is compatible with the policy. Make only 2 selections one in each column.
Least value of X
3, 5, 6, 8, 10, 12
Greatest value of X
3, 5, 6, 8, 10, 12
05 Apr 2024, 10:32
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Hi MartyMurray, would you be able to help please?
06 Apr 2024, 12:24
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A=40
B=40
C=40
Tot=110
For three groups we use the formula: Total=G1+G2+G3-two groups-2(All Groups)+None
Most: # of employees who are in multiple are only in two groups
110=G1+G2+G3-Two Groups
110=120-x
x=10
Least: x can only be a part of all 3 groups
110=120-2(All)
x=5
Hope this makes sense
B=40
C=40
Tot=110
For three groups we use the formula: Total=G1+G2+G3-two groups-2(All Groups)+None
Most: # of employees who are in multiple are only in two groups
110=G1+G2+G3-Two Groups
110=120-x
x=10
Least: x can only be a part of all 3 groups
110=120-2(All)
x=5
Hope this makes sense
