Long-run Average Total Cost (LRATC) is the per-unit cost of production when all inputs are variable, allowing firms to achieve their optimal scale of production. In the long run, firms can adjust all factors of production to minimize costs and maximize efficiency, which is crucial for understanding economies of scale and the firm's planning decisions. The LRATC curve represents the lowest possible average cost for producing each level of output and reflects how costs change as a firm expands its production capacity.