A company produces two products, Product A and Product B. The company's budget for the upcoming year is $200,000 for the production of both products. The company's production cost for each unit of Product A is $10, while the production cost for each unit of Product B is $20. The company wants to maximize its profit from the production of these products. If the selling price for Product A is $25 per unit and the selling price for Product B is $40 per unit, how many units of each product should the company produce to maximize its profit?

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