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City Dolls Inc. is trying to decide whether to produce a new type of doll. The annual fixed cost to make the dolls is $$11,000.$ The variable cost including raw materials and labor to make one unit of the doll is $$0\mathrm{.}44.$ The company sells the doll for $$15\mathrm{.}00$ each. If the company sells $24,000$ dolls annually, determine;

$($a$)$ the total annual cost

$($b$)$ total annual revenue

$($c$)$ annual profit.

$($d$)$ How many dolls will the company need to sell in order to break even?