A cloud computing service dynamically allocates resources to handle tasks. Let $x$ represent the amount of CPU resources $($in CPU hours$)$ allocated to a task, and let $Y$ represent the amount of memory resources $($in GB$-$hours$)$ allocated to the same task. The variance of $x$ is $3,000,$ the variance of $Y$ is $6,000,$ and the variance of the total resources $x+Y$ allocated to a task is $8,500.$ Due to an increase in demand, the service provider decides to increase $x$ by a flat amount of $20$CPU hours per task and to increase $Y$ by $5\%$ per task.

Calculate the variance of the total resources allocated after these adjustments have been made.