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Consider the following details for a manufacturing company producing two products, Alpha and Beta: Product Alpha: Selling price $80, variable cost $45, fixed cost $20

Consider the following details for a manufacturing company producing two products, Alpha and Beta:


    • Product Alpha: Selling price $80, variable cost $45, fixed cost $20
    • Product Beta: Selling price $120, variable cost $65, fixed cost $35

Determine the optimal production quantity for each product to maximize profit, given that the company can sell up to 2,000 units of each product and has a maximum of $50,000 in fixed costs. Provide a comprehensive explanation of your analysis.

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