To manufacturer x number of dolls, a company's total cost function C(x) is given by C(x) = 100 + 0.025x ^ 2 and the total revenue function R(x) is described as R(x)= 5x . Given that C(x) and R(x) are in thousand rupees, what number of dolls shall be manufactured to maximize the profit of the company? What is the maximum profit?

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