Answer:
3 percent.
Explanation:
Given that,
Potential output, Y = 36,000
Planned aggregate expenditure:
PAE = 15,000 + 0.6Y - 20,000r
We can rewrite the above equation as follows:
Y = 15,000 + 0.6Y - 20,000r
Y - 0.6Y = 15,000 - 20,000r
0.4Y = 15,000 - 20,000r
Now, we are substituting the value of potential output,
0.4 (36,000) = 15,000 - 20,000r
14,400 = 15,000 - 20,000r
20,000r = 15,000 - 14,400
r = 600 ÷ 20,000
= 0.03 or 3%
Therefore, the Federal Reserve must set the real interest rate at 3% to bring the economy to full employment.