Lee, age $45,$ owns a disability income policy with a $30-$day elimination period. The policy also pays a benefit of $$100$ per day until age $65.$ If he suffers a disabling injury this year that requires him to miss $90$ days of work, what amount of benefits will his policy pay?

A$)$ $$6,000$

B$)$ $$5,000$

C$)$ $$9,000$

D$)$ $$3,000$