A lathe machine manufactured by de Vaal Engineering Ltd has a fixed cost of R$120,000.$ The

variable cost for manufacturing the lathe machine amounted to R$25,000/$unit$.$ Given that the

company sold $50$ units for the year $2020$ and sold each of the lathe machines for R$40,000/$unit$,$

calculate the following:

$1\mathrm{.}1$ Break$-$even sales quantity.

$1\mathrm{.}2$ Break$-$even sales.

$1\mathrm{.}3$ Draw a fully labelled sketch of the break$-$even diagram for de Vaal Engineering Ltd$.$

$1\mathrm{.}4$ Contribution.

$1\mathrm{.}5$ Margin of safety amount using method which makes use of the profit and sales figures. $[4]$