A breakeven analysis can determine:

A breakeven analysis is a financial calculation that helps determine the point at which total revenues equal total costs, resulting in neither profit nor loss. This is especially useful for businesses assessing the viability of new investments or projects, such as purchasing new equipment. By analyzing fixed and variable costs associated with production and sales, a company can calculate the number of units that need to be sold to cover the expenses incurred for acquiring that equipment.

In this particular context, understanding how many units must be sold to recover the cost of a new piece of equipment is crucial for financial planning. It allows business owners to make informed decisions about their production levels and pricing strategy, ensuring that the investment will be sustainable and profitable in the long run.

The other options do not relate directly to the purpose of breakeven analysis. Identifying loan guarantors focuses on financial credibility and support structures rather than cost-recovery metrics. Managing payment schedules to avoid bankruptcy involves cash flow management, which, while related to overall financial health, doesn't deal explicitly with breakeven points. Finally, projecting how many customers are needed to reach certain revenue targets deals with sales forecasting and customer acquisition strategies, which are broader marketing metrics rather than the specific calculation of breakeven sales volume.