Consider an economy where: Zt = c0 + c1Y1 + It Yt = Zt-1 Let c0 = 100, c1 = 0.75, and assume that the goods market is initially in equilibrium with Ẑ = Ŷ = 1200, and Î = 200. Suppose that in period t0 investment undergoes a permanent increase from 200 to 300. Find values for Yt and Zt in periods t0 + 1, t0 + 2, and t0 + 3. What are the final values for Y and Z? Please show all calculations, thanks!

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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Consider an economy where:

Zt = c0 + c1Y1 + It

Yt = Zt-1

Let c0 = 100,

c1 = 0.75,

and assume that the goods market is initially in equilibrium with Ẑ = Ŷ = 1200, and Î = 200. Suppose that in period t0 investment undergoes a permanent increase from 200 to 300.

Find values for Yt and Zt in periods t0 + 1, t0 + 2, and t0 + 3.

What are the final values for Y and Z?

Please show all calculations, thanks!

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