We are producing and selling $3$ types of goods for which sale quantities, sale prices and unit variable costs are given below: Goods Sale quant. Sale Prices Dir. Mat Dir.Labor Var.F$.$O$.$ Var.Mark.Exp XL$115\mathrm{.}00090$ $ $30$ $ $15$ $ $8$ $ $2$ $ XL$212\mathrm{.}000100$ $ $32$ $ $16$ $ $10$ $ $4$ $ XL$313\mathrm{.}000120$ $ $40$ $ $18$ $ $12$ $ $5$ $ The total of the fixed costs of the period are budgeted as $169\mathrm{.}600$ $ factory overheads, $300\mathrm{.}000$ $ marketing expenses and $500\mathrm{.}000$ $ administration expenses. Compute the BEP of the sale mix and sale quantity of each good at the BEP. Compute the profit of the business if whole production is sold. Prepare the Full Costing Income Statement of the period. Compute the sale price of each product in order to get a profit of $2\mathrm{.}061\mathrm{.}000$ $$.$