E$6-6($Static$)$ Identifying Break$-$Even Point, Analyzing How Price Changes Affect Profitability; Calculating Margin of Safety, Target Profit $[$LO $6-1,6-2,6-3,6-4]$

Sandy Bank, Incorporated, makes one model of wooden canoe. And, the information for it follows:

Number of canoes produced and sold $400600750$

Total costs

Variable costs $ $67,500$ $ $101,250$ $ $126,563$

Fixed costs $ $150,000$ $ $150,000$ $ $150,000$

Total costs $ $217,500$ $ $251,250$ $ $276,563$

Cost per unit

Variable cost per unit $ $168\mathrm{.}75$ $ $168\mathrm{.}75$ $ $168\mathrm{.}75$

Fixed cost per unit $375\mathrm{.}00250\mathrm{.}00200\mathrm{.}00$

Total cost per unit $ $543\mathrm{.}75$ $ $418\mathrm{.}75$ $ $368\mathrm{.}75$

Sandy Bank sells its canoes for $$550$ each.

Required:

Suppose that Sandy Bank raises its selling price to $$675$ per canoe. Calculate its new break$-$even point in units and in sales dollars.

If Sandy Bank sells $650$ canoes, compute its margin of safety in dollars and as a percentage of sales. $($Use the new sales price of $$675)$

Calculate the number of canoes that Sandy Bank must sell at $$675$ each to generate $$100,000$ profit.