We produce and sell three types of goods. Financial information is below:

Goods$$Sale prices$$Unit Variable Costs

XL$1900.-$ $$600.-$ $

XL$21\mathrm{.}000.-$ $$650.-$ $

XL$31\mathrm{.}200.-$ $$800.-$ $

Sale strategy is $15\mathrm{.}000$ units XL$1,12\mathrm{.}000$ units XL$2$ and $13\mathrm{.}000$ units XL$3.$ Budgeted fixed costs are $10\mathrm{.}000\mathrm{.}000$ $$.$

a$)$ Compute the sale mix breakeven point and the sale quantity of each good at the breakeven point.

b$)$ Compute the the profit at $40\mathrm{.}000$ units sale.

c$)$ To get $3\mathrm{.}000\mathrm{.}000$ $ profit compute the sale prices of each good.