Outline and discuss the classification of industries into various categories as per Industrial Policy Resolution, 1956.
Schedule A: Includes industries of national and strategic importance, such as defense, atomic energy, and railways. The future development of these industries was to be the exclusive responsibility of the State.
Schedule B: Includes industries that were to be progressively state-owned, with private sector participation under government regulation. Examples include chemical industries, fertilizers, and machine tools.
Schedule C: Includes all remaining industries not covered under Schedules A and B. The development of these industries was left to private enterprise, although the State could guide and support them.
If the marginal cost of a firm is given as the function of output, \( C'(Q) = 2e^{0.2Q} \), and if the fixed cost is 75, find the total cost function.
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 \(P,O,Q\).