Final answer:
The initial equilibrium income of Examland is $99,000. An increase in autonomous net exports by $1,500 will raise income by $7,500. If MPC changes to 0.6, the new equilibrium income becomes $49,750, and the same net exports increase would raise income by $3,750.
Step-by-step explanation:
To determine the equilibrium level of income in Examland, we use the formula of the Keynesian cross model, where equilibrium occurs when aggregate output (income, Y) equals aggregate expenditure (AE).
AE is composed of autonomous consumption, investment, government spending, and net exports. The equation for aggregate expenditure with the given data is AE = autonomous consumption + autonomous investment + autonomous government spending + autonomous net exports. Initially we have AE = $9,000 + $1,100 + $8,100 + $900.
Using the multiplier effect, where the multiplier (k) is equal to 1 / (1 - MPC), and here MPC is 0.8, so multiplier k = 1 / (1 - 0.8) = 5. The equilibrium level of income is found where Y = AE, initially Y = 5 * ($9,000 + $1,100 + $8,100 + $900) = $99,000.
If autonomous net exports increase by $1,500, it would cause AE to increase and thus increase income by the multiplier times the rise in net exports, which is $1,500 * 5 = $7,500.
If the MPC changes to 0.6, the new multiplier k' = 1 / (1 - 0.6) = 2.5. The new equilibrium income with the initial data would be Y = 2.5 * ($9,000 + $1,100 + $8,100 + $900) = $49,750. The income rise due to an increase in net exports by $1,500 would now be $1,500 * 2.5 = $3,750.