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Bratcher Cosmetics has created two new perfumes: Lavender Breeze and Lavender Passion. It costs $3.00 to purchase the lavender needed for each bottle of Lavender Passion, and $2.60 for each bottle of Lavender Breeze. Marketing executives have set a requirement that at least 30% but no more than 60% of the product mix be Lavender Passion. The average monthly demand for Lavender Passion is 5,000 bottles, and is estimated to increase by 10 bottles for each $1 spent on advertising. For Lavender Breeze, the monthly demand is estimated to be 9000 bottles, but is expected to increase by 50 bottles for each $1 spent on advertising. Lavender Passion sells for $12.00 per bottle, and Lavender Breeze for $10.50 per bottle. A monthly budget of $100,000 is available for both advertising and purchase of the lavender.
How many of each type of perfume should be produced to maximize the net profit?
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