Cullumber Corporation sells three different models of a mosquito "zapper." Model A$12$ sells for $$53$ and has unit variable costs of $$37\mathrm{.}10.$ Model B$22$ sells for $$106$ and has unit variable costs of $$74\mathrm{.}20.$ Model C $124$ sells for $$424$ and has unit variable costs of $$318.$ The sales mix $($as a percentage of total units$)$ of the three models is A$12,60\%$;$B22,15\%$; and C $124,25\%.$

If the company has fixed costs of $$269,346,$ how many units of each model must the company sell in order to break even? $($Round Per unit values to $2$ decimal palces, e$.$g$.15\mathrm{.}25$ and final answers to $0$ decimal places, e$.$g$.5,275.)$

Model A$12$ B$22$ C$124$

Total break$-$even point

units