Assume that money demand is given by $($M $/$ P$)$d $=0\mathrm{.}5$Y $100$r$,$ and $($M $/$ P$)$s equals $800.$

Write the LM curve two ways, expressing Y as a function of r and r as a function of Y$.($Hint: Write the LM curve only relating Y and r using the equilibrium condition for the market for real money balances.$)$

Express the equation two ways: $(1)$ Y as a function of r; $(2)$ r as a function of Y$.$

What is the slope of the LM curve $($where r is on the y$-$axis and Y on the x$-$axis$)?$

If r is $1$ percent, what is Y along the LM curve?$$

If r is $3$ percent, what is Y along the LM curve?

If r is $5$ percent, what is Y along the LM curve?

If M$/$P increases, does the LM curve shift upward and to the left or downward and to the right?

If M increases and P is constant, does the LM curve shift upward and to the left or downward and to the right?

If P increases and M is constant, does the LM curve shift upward and to the left or downward and to the right?