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A B = {z z = x y for some x ∈ A, y ∈ B}, A −B = {z z = x −y for some x ∈ A, y ∈ B} Proposition 210 If A, B are nonempty sets, then sup(A B) = supA supB, inf(A B) = inf A inf B, sup(A −B) = supA −inf B, inf(A −B) = inf A −supB Proof The set AB is bounded from above if and only if A and B are bounded from above3 Assume that Y 0 = Y1 is equal to the equilibrium output you found in part 1 At time t = 0, there is a permanent increase in government spending by 10 units (so, now G=30) Solve for Z 0 Solution At time t = 0, government spending increasesAggregate demand thereforeL " K < B < G J B E K D B", L h f 54, K \ II, > h b \ b i j _ j Z h l d Z g Z f b g

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