Consider an economy in which the current level of GDP is $500$B$,$ the government multiplier is $2,$ the marginal tax rate is $10\%,$ the current budget deficit is $5$B$.$

If the government wants to increase GDP increase to $525$B$,$ it can increase government spending G by $\_\_$

$\_\_$Billion. The budget deficit will increase to $\_\_$

$\_\_\_$Billion $.$

Round your answers to the nearest $2$ decimal points. Do not include a dollar sign or billion indicator B$.$

Hint and note: This problem is looking for a change in government spending $($A$)$ and the new budget deficit $($B$).$ To help you out, the budget deficit is G $$ T$.$ The change in the deficit in this problem will be $$G $-\mathrm{.}10$Y$,$ where $$G is the change in government spending and $$Y is the change in GDP$.$ When recording the new budget, don$$t forget to include the original budget deficit!