$[7$ points$]$ Consider the example analyzed in class: rise in G$.$ We used the IS$-$LM model $(\backslash$& the diagram$)$ to analyze the impact from SR to LR$,$ where the economy started in general equilibrium. Review the video $($posted on CANVAS$)$ and then answer the questions below:

a$.$ What was the interaction between the output market and the market for money, that resulted in the change in r in the SR$.$ Describe it as done in the video.

b$.$ What was the adjustment in the price level that took place in the LR$?$ Just state.

c$.$ What was the impact on output $\backslash$& interest rate in the SR vs$.$ the LR $($you don't need to go into details here, just say if it rose, fell, or stayed unchanged in each case$)?$ Was the result in the LR consistent with our findings in chapter $4?$ Discuss.

d$.$ In lecture we used time diagrams to show the impact on several variables. Now, use time diagrams to show the impact of the shock over time on the following $3$ variables: Consumption, Price level, and real money supply. Note that in lecture $($in the video$)$ we did not show the impact on these variables, so you need to think about it and try your best to show the impact.