Final answer:
If the variable cost of one product increases, the sales of that product must increase while the sales of other products remain constant to maintain the breakeven point for the Banner Company.
Step-by-step explanation:
The effect of an increase in the variable cost of one product on the breakeven quantities required for Banner Company to break will require that the sales of that product increase while the sales of the other products remain constant.
This is because the breakeven quantity is the point at which total revenue equals total cost, so if the variable cost of one product increases, the sales of that product must increase to cover the higher cost and maintain the breakeven point. The sales of other products do not need to decrease or increase as long as the sales of the product with the increased variable cost can cover the higher cost and reach the breakeven point.