Jazz Corporation owns $50$ percent of Mitchell Corporation's stock. Mitchell distributed a $$10,000$ dividend to Jazz Corporation. Jazz Corporation's taxable income before the dividend was $$100,000.$ What is the amount of Jazz's dividends received deduction on the dividend it received from Mitchell Corporation?

A$)$ $$0$

B$)$ $$5,000$

C$)$ $$6,500$

D$)$ $$10,000$