A factory produces 200 units of a product per day and has a fixed cost of $1000 per day and a variable cost of $5 per unit. Calculate the break-even point in terms of the number of units sold, showing your work.

To calculate the break-even point, we need to find out when the total revenue equals the total cost. Let's denote the number of units sold as x.

Total Revenue = Price per unit * Number of units sold
Total Cost = Fixed Cost + Variable Cost * Number of units produced

Break-even point is when Total Revenue = Total Cost

Let's assume that the selling price per unit is P dollars.

Px = 1000 + 5x

We need to solve for x in terms of P:

x(P - 5) = 1000
x = 1000 / (P - 5)

The break-even point in terms of the number of units sold is x = 1000 / (P - 5), where P is the selling price per unit.