Neverlandia is a small country with a single firm in Gadget industry. The demand for Gadget in Neverlandia is given by P=210-2Q. The firm's cost function is given by: C=0.5Q^2+10Q+100. (P is the price of Gadget and Q is the quantity)
Currently, the imports of Gadgets to Neverlandia are prohibited and, as a result, the Gadget producer in Neverlandia is a monopolist.
1. Calculate the profits of the monopolist.
2. The government is now contemplating liberalizing trade in Gadget, in which case the Gadget producer would lose its monopoly power and the price of Gadgets would fall to the $100(the world price). how much profits does this firm lose if the ban on imports are removed?