PROBLEM $5-25$ Break$-$Even Analysis; Pricing $[$L$01,$ L$04,$ L$06]$

Detmer Holdings AG of Zurich, Switzerland, has just introduced a new fashion watch for which the company is trying to find an optimal selling price. Marketing studies suggest that the company can increase sales by $5,000$ units for each $SFr2$ per unit reduction in the selling price. $(SFr2$ denotes $2$ Swiss francs.$)$ The company's present selling price is $SFr90$ per unit, and variable expenses are SFr$60$ per unit. Fixed expenses are SFr$840,000$ per year. The present annual sales volume $($at the $SFr90$ selling price$)$ is $25,000$ units.

Required:

What is the present yearly net operating income or loss?

What is the present break$-$even point in units and in Swiss franc sales?

Assuming that the marketing studies are correct, what is the maximum profit that the company can earn yearly? At how many units and at what selling price per unit would the company generate this profit?

What would be the break$-$even point in units and in Swiss franc sales using the selling price you determined in $(3)$ above $($i$.$e$.,$ the selling price at the level of maximum profits$)?$ Why is this break$-$even point different from the break$-$even point you computed in $(2)$ above?