(i) General Guidelines:
Not absolute rules but directional
Adaptable to organizational context
Example: Unity of command principle varies in matrix organizations
(ii) Flexible:
Modifiable based on situations
Example: Centralization degree varies by crisis vs normal times
Enables cultural adaptation (Western vs Eastern management)
(iii) Cause-Effect Relationship:
Predictable outcomes from actions
Example: Proper planning → Better performance
Basis for evidence-based management
(b):
(i) Method Study:
Systematic analysis of work methods
Steps: Select → Record → Examine → Develop → Install
Example: Toyota's kaizen improvements
(ii) Differential Piece Wage System:
Higher pay for efficient workers
Taylor's example: $0.50/unit (standard) vs $0.60/unit (above standard)
Motivates productivity but criticized as exploitative
(iii) Fatigue Study:
Analyzes work-rest cycles
Optimal break scheduling
Modern application: Pomodoro technique
Match List-I with List-II
| List-I (Principle of Management) | List-II (Explanation) |
|---|---|
| (A) Unity of Command | (I) Employees should receive orders from one superior only |
| (B) Unity of Direction | (III) Each group of activities with the same objective must have one head and one plan |
| (C) Scalar Chain | (II) The line of authority from the highest to the lowest ranks in the organization |
| (D) Division of Work | (IV) The work assigned to each worker should be clearly defined and clarified |
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).