A tea shop sells rooibos, green, and camomile tea in a sales mix of $2$:$3$:$1.$ The variable costs per unit for rooibos, green, and camomile Tea are R$1\mathrm{.}20,$ R$1\mathrm{.}50,$ and R$1\mathrm{.}90$ respectively. The sales price per unit for rooibos, green, and camomile tea are R$2\mathrm{.}50,$ R$3\mathrm{.}00,$ and R$3\mathrm{.}50$ respectively. The fixed costs amount to R$36000.$

Required:

$1.$Calculate the breakeven sales in total units, and for each type of tea.

Round off all calculations to $2$ decimal places.

$2.$Calculate the breakeven sales in total for each type of tea..

Round off all calculations to $2$

decimal places

$3.$If the variable costs of the tea's increase by $5\%$ for all types of tea's and the tea shop wants to maintain an operating income of R$5760,$ how many more units must be sold to

achieve break even?

Round off all calculations to $2$ decimal places

$4.$ How many units of each type of tea should have to be sold to achieve an operating income of R$13320$ with the changes in the variable cost above $($in question $3)$

Round off all calculations to $2$

decimal places.