To calculate the break-even point, we need to determine the number of units that need to be sold in order to cover all costs.
The formula to calculate the break-even point is:
Break-even point (in units) = Fixed costs / (Selling price per unit - Variable cost per unit)
In this case, the fixed costs are given as $35,000 per month. The selling price per unit is $100, and the variable cost per unit is 40% of the selling price, which is $40.
Let's calculate the break-even point:
Break-even point (in units) = $35,000 / ($100 - $40)
Break-even point (in units) = $35,000 / $60
Break-even point (in units) = 583.33
Therefore, the break-even point is approximately 583 units. This means that in order to cover all costs and reach the break-even point, they need to sell at least 583 pairs of shoes.