A business analyst is studying the relationship between the advertising budget, x, in thousands of dollars, and the number of units sold, y, in hundreds of units. The relationship can be represented by the linear function:
$$ y = 4x - 6 $$
Additionally, the analyst determines that there is a minimum advertising budget of $2,000 (or 2 in thousands) required to make any sales at all. What is the minimum number of units sold when the advertising budget is at its minimum?