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In an economy with no government and no foreign sectors, autonomous consumer spending is $60 billion, planned investment spending is $25 billion, and the marginal propensity to consume is 5/6. 1. Write an equation for the aggregate consumption function and planned aggregate spending. Plot a diagram showing how planned aggregate spending changes with the level of GDP. 2. What is unplanned inventory investment when real GDP equals $70 billion? 3. What is Y', income-expenditure equilibrium GDP? What is unplanned inventory investment when real GDP equals Y*? 4. If planned investment spending drops to $20 billion, what will be the new Y*? 5. What is the growth rate of investment spending and the growth rate of real GDP? Are the growth rates different? Why