iv$)$ The Pencil Company $($PC$)$ manufactures traditional wooden pencils. They have determined their variable cost unit to be $$0\mathrm{.}012$ pencil. Fixed costs, however, are quite high because of old processing equipment and costly packaging. The fixed costs are estimated at $$140,\frac{000}{?}$ month. PC sells their pencils at a price of $513\mathrm{.}248$ gross. $($There are $144$ pencils in a gross.$)$ How many grosses of pencils must be sold annually to break even? $(12$ marks$)$