A landscape supply company packages three different soil mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, and 3…

A landscape supply company packages three different soil mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, and 3 pounds of organic material. Mix A earns a profit of $3 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, and 4 pounds of organic material. Mix B earns a profit of $5 per 20-pound bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, and 4 pounds of organic material. Mix C earns a profit of $6 per 20-pound bag. Each week the company has 1200 pounds of peat, 800 pounds of perlite, and 600 pounds of organic material available. How many 20-pound bags of each mix should be packaged in order to maximize weekly profit?

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