According to Graicunas formula of span of management, if a superior has three subordinates, what number of cross-relationships would be there?a)Threeb)Sixc)Nined)EighteenCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

According to Graicunas formula of span of management, the number of cross-relationships between a superior and subordinates can be calculated using the formula:

C = n(n-1)/2

Where C represents the number of cross-relationships and n represents the number of subordinates.

In this case, the superior has three subordinates. So, we can calculate the number of cross-relationships as follows:

C = 3(3-1)/2
C = 3(2)/2
C = 6/2
C = 3

Therefore, the correct answer is option 'B' - Six.

Explanation:

The formula for calculating the number of cross-relationships is derived from the fact that for each subordinate, there is a potential cross-relationship with every other subordinate and with the superior. However, since each relationship is counted twice (once from each side), we divide the total by 2 to get the actual number of cross-relationships.

In the given scenario, the superior has three subordinates. Let's label the subordinates as A, B, and C. The potential cross-relationships are as follows:

1. A-B
2. A-C
3. B-C

So, there are three potential cross-relationships. However, we need to divide this total by 2 to get the actual number of cross-relationships. Therefore, the answer is 3/2 = 6/2 = 3.

This means that there are three unique cross-relationships between the superior and subordinates. Each subordinate has a relationship with the other two subordinates, resulting in a total of three cross-relationships.

Hence, the correct answer is option 'B' - Six.

Answer

V. A. Graicuna's, a French management consultant, analysed subordinate-supervisor relations and classified these relationships into three types:
(a) Direct Single Relationships between the senior and each of his subordinates individually
(b) Direct Group Relationships between the manager and each of the possible combinations of subordinates
(c) Cross Relationships between each of the groups of subordinates
According to Graicuna's formula n (n - l), if a superior has three subordinates, the number of cross-relationships would be six.

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