Question

In: Operations Management

If the span of control of an organization varies from 1 to 7, estimate the number...

If the span of control of an organization varies from 1 to 7, estimate the number of superior-subordinate relationships. Justify your answer.

Solutions

Expert Solution

Span of control is mainly determines by

1) Nature of work involved

2) Degree of autonomy granted to employees

3) Number of layers in the hierarchy

The span of control is the number of subordinates for whom a manager is directly responsible. The two diagrams below illustrate two different spans of control:

A span of control of 7 ,6,5 and 4 would be considered to be quite wide span of control.

Contrast this with a span of 3 below, which would be considered narrow span of control

There is no   ideal span of control

A suitable span of control will depend upon a number of factors:

· The experience and personality of the manager

· The nature of the business. If being a line manager requires a great deal of close supervision, then a narrower span might be appropriate

· The skills and attitudes of the employees. Highly skilled, professional employees might flourish in a business adopting wide spans of control

· The tradition and culture of the organisation. A business with a tradition of democratic management and empowered workers may operate wider spans of control

There are three types of Superior-Subordinate relationships, viz.,

· Direct Single Relationships,

· Direct Group Relationships, and

· Cross Relationships.

According to V.A. Graicunas, as the number of subordinates increases arithmetically (like 1, 2, 3, 4, 5, 6, etc.) the number of relationships which the superior has to control also increases almost geometrically (like 1, 6, 18, 44, 100, 244, etc.). Therefore, a superior can only control a limited number of subordinates, and anything beyond this limit is very hard to control.

Span of Control

No; of subordinates

No: of Relationships

1

1

1

2

2

6

3

3

18

4

4

44

5

5

100

6

6

222

7

7

490


Related Solutions

In recent years, the optimal management structure has shifted from a narrow span of control to...
In recent years, the optimal management structure has shifted from a narrow span of control to a broad or wide span of control. Earlier, three to seven individuals were reporting to the same manager (narrow span), whereas today, it is common to have twenty or more staff members reporting to the same person (broad span), as stated in the course textbook. Based on the readings for this week, the South University Online Library, and the Internet, respond to the following...
The number of Ford Trucks sold in a month at a particular dealership varies from month...
The number of Ford Trucks sold in a month at a particular dealership varies from month to month. Suppose the probability distribution below describes monthly truck sales at this dealership. x f(x) 8 0.20 10 0.35 14 0.25 20 0.20 a. What is the Expected Value of monthly sales? b. Calculate the variance and standard deviation of monthly sales. c. Suppose this dealership makes $1500 profit on each truck sold. What is the expected monthly profit on sales of Ford...
Explain how the number of producers in a market varies from one market structure to another...
Explain how the number of producers in a market varies from one market structure to another with relevant examples?
cost control between Germany, Canada, The United Kingdom, and Japan varies and differs from one another....
cost control between Germany, Canada, The United Kingdom, and Japan varies and differs from one another. In Japan, costs controlled and the health care system is determine and relies on payroll taxes and thus requires a large employed population. But with a low birth rate and the longest life expectancy in the world, Japan’s population is aging faster than that of other developed nations. In contrast, in Canada, Canadians have found a way to deliver comprehensive care to their entire...
Question 7 options: The owner of the Britten's Egg Farm wants to estimate the mean number...
Question 7 options: The owner of the Britten's Egg Farm wants to estimate the mean number of eggs produced per chicken.  A representative random sample of 25 chickens show they produce an average of 20 eggs per month with a sample standard deviation (s) of 2 eggs per month. The distribution is known to be symmetrical and is close enough to normal to be treated as a normal distribution. Answer the following questions related to the above paragraph and calculate a...
Question 1 We counted the number of people who entered our store across the span of...
Question 1 We counted the number of people who entered our store across the span of a week in the morning, afternoon, and evening. What is the simplest test to see if there is any difference in the frequency of people coming to our store at different times across days? Group of answer choices chi-square test of independence two-way factorial ANOVA independent t-test one-way ANOVA with blocking Question 2 We have three price points and three product colors and we...
1-The length of a complete business cycle- A-varies from about 1 to 2 years to as...
1-The length of a complete business cycle- A-varies from about 1 to 2 years to as long as 5 years. B-is generally about 3 years. C-varies greatly in duration and intensity. 2. Even though the United States has an unemployment compensation program that provides income for those out of work, should we still worry about unemployment? A-Yes, because the unemployment compensation program merely gives the unemployed enough funds for basic needs. B-Yes, because the unemployment compensation program is not available...
You are researching a population of brittle stars that varies in the number of legs that...
You are researching a population of brittle stars that varies in the number of legs that they produce. You survey the local population, and come up with the numbers below. Assume that the phenotypes you encounter represent the full range of possible phenotypes in this population. Calculate the phenotypic variance in this trait. Do the traits in this population appear to be normally distributed? Give an explanation of why this pattern might be observed. Through a series of breeding experiments,...
1. The length of human pregnancies from conception to birth varies according to a distribution that...
1. The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. About 68% of all pregnancies last between a. 250 and 282 days          b. 234 and 298 days           c. 218 and 314 days      d. 250 and 266 days 2. The distribution of actual weights of chocolate bars produced by a certain machine is approximately Normal with mean 8.2 ounces and standard deviation of...
A random number generator picks a number from 7 to 68 in a uniform manner. Round...
A random number generator picks a number from 7 to 68 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that the number will be exactly 42 is P(x = 42) = The probability that the number will be between 16 and 28 is P(16 < x < 28) = The probability that the number will be larger than 48 is P(x > 48) =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT