According to graicuna's formula of span of management if a superior has three subordinates what number of cross relationships would be
Answers
Graicunas theory on management period Theory Management
V.A. The French management consultant Graicunas, however, did a study on better subordinate relations, not based on experienced observations. He developed mathematical formulas to analyze this relation. He suggested that the number of possible relationships increases with the number of subordinates.
Gracias has identified three specific types of super-subordinate relationships in each organization, and can handle this question as a number of subordinates in a better way.
1. Direct Single Relationship:.
These states to those relationships which are effortlessly and evidently recognized by those personalities who are proximately subordinate to them. They are equal to the number of administered subordinates. For example, if there are three subordinates in A, then there will be three direct single relations. It has been identified as the number of direct links = N.
2. Direct group relations:
This means that there is a group relationship between the best of the above and every possible combination. A manager has opportunities to consult, advise, advise, inform or discuss with every subordinate or any of them or in their presence. Such relationships arise in all possible combinations between the group of senior and subordinate.
3. Cross Relationships:
There is mutual relation between subordinates necessary for working under the same class of cross-relation. In order to consult with each other, the result of the requirement of subordinates of a common superior is its result.
As a result of the above analysis of the three types of relationships, Grikunus developed the following formulas to give the total number of the following three types of relationships where n = the number of subordinates.
N (2n / 2 + N + 1)
The importance of Graicunas contribution is that they introduced the principle of restriction of the period of representative authority due to the maximum limit of the potential burden set by the natural boundaries of the human brain. By this analysis, they reduced the 'appropriate duration' limited to five or six subordinates. In this way he encouraged the idea of this aspect of organization structure, which later became a topic of more discussion in the management literature.