Perfect competition also leads to productive efficiency, where firms operate at the lowest point on the average cost curve and exploit economies of scale.
In perfect competition, firms are statically efficient but not dynamically efficient, as they do not have supernormal profits to invest in innovation and technological advancements.
In perfect competition, some firms should stay and continue producing, while others should leave the industry and move their factors of production to other business ventures.
A firm should continue producing for a short while if it is making a loss, allowing other firms to leave the industry and prices to rise, converting subnormal profits into normal profit.
In the shutdown condition in perfect competition, some firms should continue producing, while others should leave the industry and move their factors of production to other business ventures.
If a firm in the shutdown condition in perfect competition were to shut down, their losses would be the revenue lost minus the fixed costs of production.
Firm C's revenue coming in covers the variable cost of production completely, and the extra revenue on top of the variable cost can be used to run down some of the fixed costs of production.
The shutdown condition is purely to say whether firms in perfect competition should continue producing in the short run if they are making losses or not.