$($ii$)$

A company manufactures a product and finds that the fixed costs are $10,000,$ the labour costs are $6$ per unit and other variable costs are $14$ per unit. The selling price is fixed at $40.$

Due to changes in the economic environment the company purchases a new machine for $2,100($this would increase the fixed costs by this amount$).$ The new machine would mean that labour costs will be reduced by a third. Assume that other costs and the selling price remain unchanged.

Find the following level of sales.

$($i$)$ At the breakeven point.

$($ii$)$ To produce a profit of $2,200.$