Read the following statements – Assertion (A) and Reason (R). Choose the correct option given below:
Assertion (A): China has used the market mechanism to create additional social and economic opportunities for its citizens.
Reason (R): Social infrastructure creation by the government has brought positive results in human development indicators in China.
Assertion (A): China has leveraged market reforms to promote economic growth and create social opportunities, such as higher employment and better income distribution.
Reason (R): The Chinese government also focused on social infrastructure, such as education and healthcare, leading to improvements in human development indicators.
Explanation: Reason (R) correctly highlights government efforts, but it does not fully explain the market mechanism's role in social and economic opportunities.
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 \(P,O,Q\).