Bissoy.com
Doctors Medicines MCQs Q&A

Which one of the following formulae is used to calculate cross relationship under the span of control?

Which one of the following formulae is used to calculate cross relationship under the span of control? Correct Answer n(n - 1)

Span of Control:

  1. The span of control plays a significant role in organizations and has its implications for organizational structure i.e. interactions between supervisors and subordinates and the decision-making process.
  2. Sub-ordinates that can be personally directed by a supervisor or an administrator is termed as span of control. 
  3. Lois Allen:- “Span of control refers to the number of people that a manager can supervise.”

Formula of V.A Graicunas:-

  1. According to Graicunas, “As the number of subordinates increases arithmetically, the number of relationships increases almost geometrically.”
  2. Three types of superior-subordinates relationships were identified by Graicunas.
  • Direct single relationships
  • Direct group relationships
  • Cross Relationships

The relevant notations and elements are provided below and subsequently illustrated using Graicunas' example of a superior, Tom, who has two subordinates, Dick and Harry.

  • n = number of persons supervised
  • a = number of direct single relationships (superior to subordinate)
  • b = number of cross relationships (subordinate to subordinate - in both directions)
  • c = number of direct group relationships (superior to combinations of subordinates)
  • d = total group relationships (a + b)
  • e = total of direct relationships (a + c)
  • f = total of direct and group relationships (a + b + c)

Maximum Case

(Subordinates are responsible for interdependent work or units)

Kind of Relationship

Variable

Formula

Direct single relationships

a

n

Cross relationships

b

n (n – 1)

Direct group relationships

c

n (2n/2 – 1)

Total direct single and cross relationships (a + b)

d

n2

Total direct single and group (a + c)

e

n (2n/2)

Total direct and cross relationships (a + b + c)

f

n (2n/2 + n – 1)

Therefore, the formulae used to calculate cross-relationship under the span of control is n (n – 1).

Related Questions

Examine the following statements about span of control and identify the ones which are true?
1. More task complexity requires narrower span of control.
2. Routine tasks can have greater span of control than exceptional tasks.
3. When tasks are dissimilar, then span of control can be larger.
4. Spans of control are generally narrower at the top and broader at the bottom of the hierarchy.
Which country has recorded second highest COVID19 death toll in world after China?
Which of the following problems is NOT NP-complete? I. Checking satisfiability of arbitrary Boolean formulae II. Checking satisfiability of Boolean formulae in conjunctive normal form (CNF/product of sums) III. Checking satisfiability of Boolean formulae in disjunctive normal form (DNF/sum of products)
Which of the following is/are the advantages of using a control chart for inspection? (i) A control chart indicates whether the process is in control or out of control. (ii) A control chart determines process variability. (iii) A control chart ensures product quality. (iv) Scrap or percentage reduction can be reduced by taking the necessary actions in time against the warnings indicated by control charts. (v) Control charts build up the reputation of the organization through customer’s satisfaction. (vi) The control chart can detect the unusual variations taking place in a process.
In a ring beam subjected to uniformly distributed loadi) shear force at mid span is zeroii) shear force at mid span is maximumiii) torsion at mid span is zeroiv) torsion at mid span is maximum The correct answer is

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

In a ring beam subjected to uniformly distributed load
i) shear force at mid span is zero
ii) shear force at mid span is maximum
iii) torsion at mid span is zero
iv) torsion at mid span is maximum
The correct answer is
Four friends A, B, C and D need to cross a bridge. A maximum two persons can cross it at a time. It is night and they just have one lamp. Persons that cross the bridge must carry the lamp to find the way. A pair must walk together at the speed of slower person. After crossing the bridge, the person having faster speed in the pair will return with the lamp each time to accompany another person in the group. Finally, the lamp has to be returned at the original place and the person who returns the lamp has to cross the bridge again without lamp. To cross the bridge, the time taken by them is as follows: A :1 minute, B : 2 minutes, C : 7 minutes and D : 10 minutes. What is the total minimum time required by all the friends to cross the bridge?
Four friends A, B, C and D need to cross a bridge in the night. A maximum of 2 people can cross at a time. They have only one lamp. A takes one minute to cross the bridge. B takes 2 minutes, C takes 8 minutes and D takes 11 minutes to cross the bridge respectively. A pair must walk together at the speed of the person who walks slowly. What is the minimum time required to cross the bridge by all four people? 
You are the administrator of Windows 2000 Server computer. Your computer has a span volume that consists of areas on three physical hard disks on the server. The three disks support hot swapping. You regularly backup the span volume by using windows backup. One of the disk fail, you replace the disk with a new un-partitioned disk. You want to recover the span volume and disk data as soon as possible. What should you do?