Doctor J$.$ is considering purchasing a new blood analysis machine to test for HIV; it will cost $$60,000.$ He estimates that he could charge $$25\mathrm{.}00$ for an office visit to have a patient's blood analyzed, while the actual cost of a blood analysis would be $$5\mathrm{.}00.$ If this new blood analysis machine has design and effective capacities of $6,000$ and $5,000$ blood analyses per year, respectively, and Dr$.$ J$.$ expects to perform $4,500$ HIV blood analyses each year, what will be the utilization of this machine?

$83$ percent

$90$ percent

$75$ percent

O percent

$100$ percent