$1.$ 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 $$5\mathrm{.}00.$ How many HIV blood analyses would he have to perform in order to make a profit of $$15,000?$

Multiple Choice

$3,000$

$4,800$

$5,000$

$12,000$

$3,750$

$2.$ 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 be $80$ percent efficient in his use of this machine, how many HIV blood analyses does he plan to perform each year?

Multiple Choice

$3,200$

$4,800$

$4,000$

$1,000$

$5,000$