Solve all the questions.

| In a closed economy, the consumption, the planned investment, the government spending, and the taxes are given by, respectively, C = 100 + 0.5 x Ya, /=250, G =200, and T =100 where Ya = Y -T is the disposable income, and Y denotes the real GDP. (i) Write the planned aggregate expenditure (AE ) as a function of GDP (Y). (ii) Find the equilibrium GDP