Cement shop owner: Falls under self-employed as the individual owns and manages the business independently.
Construction worker: Classified as a casual wage worker as they work temporarily for wages on various projects.
Civil engineer: Regular salaried professional employed in companies or institutions.
For a hypothetical economy, assume the government increased infrastructural investment by ₹10,000 crore. 80% of additional income is consumed in the economy. Estimate the increase in income and the corresponding increase in consumption expenditure in the economy.
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 \(P,O,Q\).