A company is to add handmade bottles and wallets to its product line. Each bottle nets the company $30 in profit, and each wallet nets $20. Both the bottles and wallets require cutting and sewing. Bottles require 4 hours of cutting time and 7 hours of sewing time. Wallets require 5 hours of cutting time and 3 hours of sewing time. If the cutting machine is available 12 hours a week and the sewing machine is available 17 hours a week, what ratio of bottles and wallets will produce the most profit within the constraints?
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