The figure above shows the schedule of four employees – Abani, Bahni, Danni and Tinni –whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.
For each employee, his/her total project-month (in 2020) is the sum of the number of months(s)he worked across the five project, while his/her annual completion index is the weight age average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months she worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weight age average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.
Solution
Understanding the set :-
- There are 4 employees - Abani, Bahni, Danni and Tinni supervised by Dhoni
- They did 5 projects in 2020
also, For each of these projects , the starting day was at the beginning of a month and the concluding day was the end of a month.
- The graph shows the percentage of assigned work completed by the employee
- total project-month (in 2020) = sum of the number of months (s)he worked across the five project
- annual completion index = weighted average of the completion percentage (weights being the corresponding number of months (s)he worked in these projects.)
- total employee-month = sum of the number of months four employees worked in this project
- completion index = weighted average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.
This is a Gantt Chart.
A Gantt Chart is a project management tool used to illustrate a project schedule over time.
It shows:
a) Tasks/Projects on the vertical axis (e.g., Project 1 to Project 5).
b) Timeline on the horizontal axis (e.g., Jan 1 – Jan 1 next year).
c)Bars representing the duration and progress of each task.
d)Colors and percentages indicate completion levels or progress status.
This is a data interpretation set,
In this kind of set, after understanding the graph/ chart properly , you will solve it according to the question's demand.
For Abani :-
(100×2) + (100×2) + (80×5) ÷ (2+2+5) = 800/9
For Bahni :-
(100×2) + (75×4) + (90×3) ÷ (2+3+4) = 770/9
For Danni =
(90×3) + (100×3) + (100×2) + (100×1) ÷ (2+3+2+1) = 870/9
For Tinni =
(80×2) + (100×2) + (100×3) + (100×2) ÷ (2+2+3+2) = 860/9
Therefore, in terms of Annual Completion Index
Danni > Tinni > Abani > Bahni