Suppose the economy is in long$-$run equilibrium. Suppose the long$-$run aggregate$-$supply curve shifts $$100$ billion to the left. At the same time, government purchases increase by $$50$ billion. If the marginal propensity to spend equals $0\mathrm{.}75$ and the crowding$-$out effect is $$70$ billion, what would we expect to happen in the long run to real GDP and the price level?

a$.$ Both real GDP and the price level would be higher.

b$.$ Both real GDP and the price level would be lower.

c$.$ Real GDP would be lower, but the price level would be higher.

d$.$ Real GDP would be lower, but the price level would be the same.

e$.$ None of the above