A producer of computer graphics software finds that selling price p of its software is related to the number of x copies of its software sold annually by the demand equation, x = 10000 - 200p, while its total cost in producing and marketing these x copies is given by the function C(x)= 50000 + 5x. Find the price p for which profits will be a maximum.
Find the maximum profit earned by selling at this price.
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