In the long-run, equilibrium is achieved where
P = MC = ATC
At the minimum of ATC, ATC and MC both are equal
So we can say in the long-run, equilibrium is achieved at the minimum of ATC where
P = MC = ATC
Now in the above question P = MC = ATC at 10 units.
ATC = TC / Q
ATC = 400 + 4Q2 / Q
ATC = 400/Q + 4Q
P = ATC = 400/Q + 4Q
P = ATC = 400/(10) + 4(10)
P = 80
Now we will use this price in demand function to find the market demand
Q = 100 - P
Q = 100 - (80)
Q = 20
Number of Firms = Market Demand / Individual Demand
Number of Firms = 20 / 10
Number of Firms = 2
Hence C is correct
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