3. The multiplier and the MPC Consider two closed economies that are Identical except for their marginal propensity to consume (MPC). Each economy is currently in equilibrium with real GOP and total expenditure equal to $109 billion, as shown by the black points on the following two graphs. Neither economy has taxes that change with income: The grey lines show the 45 degree line on each graph. The first economy's MPC is 0.5. Therefore, it's initial total expenditure Tie has a slope of 0.5 and passes through the point (100, 100], The second economy's MPC is 0.75. Therefore, its initial total expenditure line has a slope of 0.75 and passes through the point (100, 100). Now, suppose there is an increase of $20 billion in investment in each economy Place a green line (triangle symbol) on each of the previous graphs to indicate the new total expenditure line for each economy. Then place a black point (plus symbol) on each graph showing the new level of equilibrium output. (Hint: You can see the slope and vertical axis intercept of a line on the graph by selecting it.) MIPC-0.5 45-Degree Line E BO New AE Line 140 120 180 TOTAL EXPENDITURE (Billions of dottir) AE Line 40 80 10 600 720 140 10 180 200MPC-0.75 45 Degree Ling A 180 New AL Life New Equilibrium TOTAL EXPENDITURE (Billions of dollars] AE LI 20 40 60 80 109 120 149 160 180 790 REAL OOP (Ditons of dollars) In the first economy (with MPC = 0 5), the $20 billion increase in investment causes equilibrium output to increase by |S billion, In the second economy (with MPC = 0.75), the $20 billion increase in investment causes equilibrium output to increase by S billion. Therefore, a higher MPC is associated with a multiplier Now, confirm your graphical analysis algebraically using the oversimplified multiplier formula: Multiplier - TimeFor the first economy, with an MPC of 0.5, the effect of the $20 billion increase in investment is as follows: Change in Equilibrium Output - Change in Total Expenditure x Multiplier X Using the same method, the multiplier for the second economy is Grade It Now