Alice bought 4 types of vector geometry textbooks. Each type costs $20, $30, $25, and $35 respectively. She bought 3, 2, 4, and 1 of each type respectively. She plans to sell all the textbooks at a uniform price of $40 each. If she sells all the textbooks, what will be her total profit? Let's think step by step and output the final answer within \boxed{}.
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