A firm sells three products.

Product $1$: $$61$ sales price per unit; $$44$ variable cost per unit.

Product $2$: $$22$ sales price per unit; $$12$ variable cost per unit.

Product $3$: $$107$ sales price per unit; $$82$ variable cost per unit.

In a typical year, the sales mix is: $1$ unit of Product $1,$ to $2$ units of Product $2,$ to $2$ units of Product $3($i$.$e$.$ a $1$:$2$:$2$ sales mix$).$

If the firm has $$135,376$ in fixed costs, what is the firm's breakeven point in composite units

Use whole units to compute composite unit $($not fractional units$).$

Round your final answer to the nearest whole unit.