(a) (i) Product Designing and Development:
Process: Idea generation → Concept testing → Prototyping → Commercialization
Example: Dyson's 5,127 vacuum prototypes
Key Aspects: Aesthetics (Apple's minimalist design), Functionality (Tesla's over-the-air updates), Ergonomics (Microsoft's ergonomic keyboards), Sustainability (Adidas' recycled ocean plastic shoes)
Impact: 70 percent of buying decisions made at design stage, Reduces returns by 30-40%
(ii) Standardisation and Grading:
Standardization: Uniform quality specifications
Example: ISO certification processes
Benefits: Consistent customer experience
Grading: Classification by quality/size
Example: USDA beef grades (Prime, Choice)
Benefits: Price differentiation
(b) Marketing Mix (4Ps):
1. Product: Core benefit (smartphone = connectivity), Augmented features (warranty, accessories)
2. Price: Psychological pricing (dollar 9.99 effect), Premium pricing (Rolex watches), Value-based pricing (Starbucks experience)
3. Place: Distribution channels (direct/indirect), Market coverage (intensive/selective), Logistics management
4. Promotion: Advertising (TV, digital), Personal selling (B2B salesforce), Sales promotion (discounts)
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 \(P,O,Q\).