The Kaj Expressions recently produced three different styles of earrings: A$,$ B and C$,$ which are sold at $$100,$ $$87$ and $$98$ respectively. The variable cost of each style is as follows: A for $$84,B$ for $$72,$ and $C$ for $$84.$ The sales manager anticipates sales of $30,000$ units next year, consisting of $3,000$ units of A$,12,000$ units of $B,$ and $15,000$ units of $C.$ The firm's fixed costs for the period is expected to be at $$153,300.$

Required:

$($i$)$ What is Kaj Expressions' breakeven point in units, assuming that the given sales mix is maintained? $(14$ points$)$

$($ii$)$ If the sales mix is maintained, what is the total contribution margin when $30,000$ units are sold? What is the operating income? $(6$ points$)$