A small business produces and sells two types of products, X and Y. The production cost per unit of X is $5 and the production cost per unit of Y is $7. The selling price per unit of X is $8 and the selling price per unit of Y is $10. The business can sell at most 800 units of both products combined per day. Due to limited resources, the production of X cannot exceed the production of Y by more than 200 units per day. If the business wants to maximize its profit, how many units of each product should it produce and sell per day?

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