Answer:
Firm should not shut down, as it is able to cover its Average Variable Cost
Step-by-step explanation:
Perfect Competition firms in Short Run : The firms produce even if their average revenue (price) < their average total costs (AC). They continue production until Average variable cost (AVC) ≥ per unit price (P) i.e average revenue (AR). This is called Shut Down Point. P lower beyond AVC implies that firm won't continue even in short run.
Given : Variable Cost (VC) = 500 ; Revenue (R) = 510
Average Variable Costs & Average Revenue are variable costs & revenue, per unit quantity. AVC = VC / Q ; AR (P) = R / Q
R i.e 510 > VC i.e 500
So, R/ Q i.e AR is also > VC / Q i.e AVC
Since AVC > AR (P), firm should not shut down