(a) Limitations of Planning:
1. Rigidity:
- Fixed plans may hinder adaptability
- Example: Kodak's failure to pivot from film photography
- Impact: 63 percent of rigid plans fail during market shifts (McKinsey)
2. Time-Consuming:
- Delays urgent decision-making
- Average strategic plan takes 3-6 months to develop
- Opportunity costs during planning periods
3. Costly Process:
- Requires specialized personnel
- Market research expenses
- Technology investments for forecasting
4. False Sense of Security:
- Over-reliance on plans
- Neglects emergent strategies
- Case: Blockbuster's plan-based complacency vs Netflix's agility
(b)(i) Strategy:
(ii) Procedure:

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 \(P,O,Q\).