Final answer:
The equation relating planned aggregate expenditure to output is AE = 6600 + 0.95Y - 20000r.
Step-by-step explanation:
An equation relating planned aggregate expenditure to output:
In this economy, the aggregate expenditure (AE) function can be calculated using the equation AE = C + I + G + X - M. Substituting the given values for consumption (C), government spending (G), exports (X), imports (M), and other parameters, we obtain AE = C + I + G + X - M = 2600 + 0.8(Y - T) - 10000r + 2000 - 10000r + 1800 - 0 + 0.15Y - 3000. Simplifying this equation gives AE = 6600 + 0.95Y - 20000r.