Breakeven analysis, also known as cost-volume-profit analysis, examines the relationship between cost, volume, and profit to determine the level of operations needed for an enterprise to avoid losses. It categorizes costs into fixed, variable, and semi-variable, and uses these classifications to calculate the break-even point where total revenue equals total expenses. The analysis is crucial for understanding how changes in costs or sales volume impact profit and for making informed business decisions regarding production and sales strategies.