Sadie operates a bike shop in Hot Spring, Tennessee. Sadie also ships bikes nationwide upon request. Sadie's Tennessee sales are $$1,250,000$ and out$-$of$-$state sales are $$200,000.$ Assuming that Tennessee's sales tax rate is $5$ percent, what is Sadie's Tennessee sales and use tax collection obligation?

$$0$

$$10,000$

$$50,000$

$$62,500$

None of the above.