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A manufacturing company produces seven different products: Product A, Product B, Product C, Product D, Product E, Product F, and Product G. The company's fixed

A manufacturing company produces seven different products: Product A, Product B, Product C, Product D, Product E, Product F, and Product G. The company's fixed costs are $400,000 per month. The variable costs per unit for Product A, Product B, Product C, Product D, Product E, Product F, and Product G are $35, $40, $45, $50, $55, $60, and $65 respectively. If the selling prices per unit for Product A, Product B, Product C, Product D, Product E, Product F, and Product G are $90, $100, $110, $120, $130, $140, and $150 respectively, and the company aims to maximize profit, how many units of each product should it produce and sell?

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