Piedmont Company segments its business into two regions$$North and South. The company prepared the contribution format segmented income statement as shown:

Total Company North South

Sales $ $525,000$ $ $350,000$ $ $175,000$

Variable expenses $315,000245,00070,000$

Contribution margin $210,000105,000105,000$

Traceable fixed expenses $126,00063,00063,000$

Segment margin $84,000$ $ $42,000$ $ $42,000$

Common fixed expenses $52,000$

Net operating income $ $32,000$

Required:

$1.$ Compute the companywide break$-$even point in dollar sales.

$2.$ Compute the break$-$even point in dollar sales for the North region.

$3.$ Compute the break$-$even point in dollar sales for the South region.

$($For all requirements, round your intermediate calculations to $2$ decimal places. Round your final answers to the nearest dollar.$)$