Explain graphically the determination of equilibrium GDP for a private economy through the aggregate expenditures model. Assume the MPC is $\mathrm{.}75.$ Now add government purchases $($any amount you choose$)$ to your graph, showing its impact on equilibrium GDP$.$ Finally, add taxation $($any amount of lump$-$sum tax that you choose$)$ to your graph and show its effect on equilibrium GDP$.$ Looking at your graph, determine whether equilibrium GDP has increased, decreased, or stayed the same given the sizes of the government purchases and taxes that you selected. Specify the level of GDP initially, the amount of Government Purchases, the amount of Taxes, and the ending amount of GDP if different from the original.