The following annual information is for Bendix Corporation:

Product X Product Y

Revenue per unit $$10$ $$15$

Variable cost per unit $$2\mathrm{.}50$ $$5$

Total fixed costs: $$100,000$

If the sales mix consists of two units of Product X and one unit of Product Y$,$ what is the break$-$even point in units for a year?

a$)2,000$ units of Y and $4,000$ units of X

b$)4,000$ units of Y and $8,000$ units of X

c$)2,025$ units of Y and $4,050$ units of X

d$)4,025$ units of Y and $8,050$ units of X

$($Correct answer is B$,$ but need calculation!!$)$