Pharoah Corporation sells three different models of a mosquito "zapper." Model A$12$ sells for $$56$ and has unit variable costs of $$39\mathrm{.}20.$ Model B$22$ sells for $$112$ and has unit variable costs of $$78\mathrm{.}40.$ Model $C124$ sells for $$448$ and has unit variable costs of $$336.$ The sales mix $($as a percentage of total units$)$ of the three models is $A12,60\%$;$B22,15\%$; and $C124,25\%.$

If the company has fixed costs of $$271,656,$ 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