Final answer:
In the long-run equilibrium, the output level is 200 and the price level is 90. With an increase in M to 450, the new short-run equilibrium has an output level of 206 and a price level of 92. Once the economy adjusts to long-run equilibrium at M = 450, the output level is 212 and the price level is 94.
Step-by-step explanation:
In the initial long-run equilibrium, the economy is at point Eo where the aggregate demand curve (AD) intersects with the short-run aggregate supply curve (SRAS) and the long-run aggregate supply curve (LRAS) at an output level of 200 (Y = 200) and a price level of 90 (P = 90). Since the long-run aggregate supply curve is vertical, changes in aggregate demand do not affect the level of output, only the price level.
When M changes to 450, the new short-run equilibrium occurs at point E1. The aggregate demand curve shifts to AD1, intersecting with the short-run aggregate supply curve at an output level of 206 (Y = 206) and a higher price level of 92 (P = 92).
Once the economy adjusts to long-run equilibrium at M = 450, the aggregate supply curve shifts to SRAS2 and the aggregate demand curve shifts to AD2. The new equilibrium is at point E2, with an output level of 212 (Y = 212) and a price level of 94 (P = 94).