A company produces a single product. Forecasts for $2024$ available:

The budgeted sales are $30000$ units at R$800$ per unit. Manufacturing costs include direct materials at R$160$ per unit, direct labour at R$100$ per unit, variable overheads at R$44$ per unit and fixed overheads of R$1920000.$ Marketing costs include a sales commission of $6\%$ of the selling price and R$2592000$ for advertising and salaries. Administration costs include R$4608000$ for fixed costs and variable costs of R$48$ per unit sold.

Use the contribution margin ratio to calaculate the sales value required to break even?

Calculate the margin of safety as a percentage?

Determine the sales volume required to achieve double the forecast operating profit for $2024?$

Suppose the company is considering a R$50$ per unit decrease in the selling price of the profit, with the exception that this would increase the annual sales volume by $25\%,$ calculate the total contribution margin and operating profit$/$loss$?$

Determine the selling rpice per unit expressed to the nearest cent that would enable the company to break even, if all $30000$ unitsare produced and sold.