Answer: No, because of loss.
Step-by-step explanation:
Given that it is a case of monopoly where, MC = 0
Demand curve: P = 120 - 12Q
Fixed Cost (FC) = 1,000
profit maximizing condition for a monopolist, MR = MC
Total Revenue(TR) = PQ = 120Q - 12Q²
Marginal Revenue(MR) =

= 120 - 24Q
Now, MR = MC
120 - 24Q = 0
Q = 5 units
P = 120 - 12 × 5 = $60
Profit/ Loss = TR - FC [ ∴ TR = 300]
= 300 - 1000
= -700
So, there is loss incurred if the firm go into the business.