(i) Level of Competition: If a firm is in a highly competitive market, it may require additional working capital to offer better customer services, maintain larger inventories, or give credit to customers to stay competitive.
(ii) Production Cycle: The time taken to convert raw materials into finished goods affects working capital. Longer production cycles need more funds tied up in inventory, increasing working capital needs.
(iii) Scale of Operations: Large-scale businesses need more working capital to manage raw materials, production, and distribution. Bigger firms typically maintain greater inventories and have higher overheads.
Final Answer: More competition, longer production, and large operations = higher working capital.
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 \(P,O,Q\).