Bluth Co$.$ is considering the purchase of new laptops for their staff. Computer A cost $$1,870$ and will generate an increase in sales of $$549$ in year $1,$$$645$ in year $2,$ and $$2,275$ in year $3.$ Computer B costs $$1,600$ and will generate an increase in sales of $$1,368$ in year $1,$$$1,040$ in year $2,$ and $$474$ in year $3.$ If the cost of capital is $23\%,$ what is the crossover rate and which project should management choose?

$9\mathrm{.}14\%,$ computer B is the better choice

$12\mathrm{.}08\%$

$,$ computer $B$ is the better choice

$9\mathrm{.}14\%,$ computer $A$ is the better choice

$10\mathrm{.}51\%$

$,$ computer $B$ is the better choice

$12\mathrm{.}08\%$

computer $A$ is the better choice