Suppose for two imaginary economies A and B, the value of Marginal Propensity to Consume (MPC) stands at 0.8 and 0.6 respectively. For both the economies, Autonomous Consumption (Ĉ) = ₹ 400 crore and Investment Expenditure (I) = ₹ 2,000 crore.
Calculate the following :
(a) Break-even level of income for Economy A.
(b) Equilibrium level of income for Economy B.
The following data represents the income of a country for a year: 
Calculate the National Income (NI) of the country.
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 \(P,O,Q\).