5. An economy is described by the following equations: c = 3000 + 0.5 (YT) II} = 1500 G = 2500 NX = 200 T = 2000 Y* = 12000 (a) For the economy, find the following: autonomous expenditure, the multiplier, short-run equilibrium output, and the output gap if any. (4 marks) (b) Illustrate this economy's short-run equilibrium on a Keynesian-cross diagram. (4 marks) (c) Calculate the amount by which autonomous expenditure would have to change to elimi- nate the output gap if any. (3 marks) (d) Suppose that the government decided to close the output gap by reducing taxes. By how much Inust taxes be reduced in order to do this? (4 marks) Type your answer here